Top 50

Percentage
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1) When 43.75% of a number is subtracted from itself then the number becomes
4500, Find the original number?
किसी संख्या िा 43.75% घटाने पर वह संख्या 4500 हो जाती है , मूल संख्या ज्ञात िीकजये?
a) 8000
b) 12000
c) 9000
d) 6000
e) None of these

2) A number when increased by 8.33%, it becomes 37.5% of another number. Find

the ratio of both numbers.
एि संख्या में जब 8.33% िी वृद्धि िी जाती है , तो यह दू सरी संख्या िा 37.5% हो जाती है।
दोनों संख्याओं िा अनुपात ज्ञात िीकजए।
a) 10:11
b) 9:44
c) 9:26
d) 12:31
e) None of these

3) The population of a town is increased by 5.26 % on first year and on second

year it will again increase by 37.5% but on third year it will decrease by
14.28%. Then find present population if after three years the population will
become 13200.
एि शहर िी जनसंख्या पहले वर्ष में 5.26% बढ़ जाती है और दू सरे वर्ष यह किर से 37.5%
बढ़ जाएगी ले किन तीसरे वर्ष इसमें 14.28% िी िमी हो जाएगी। तो वतष मान जनसंख्या ज्ञात
िीकजए यकद तीन वर्ष बाद जनसंख्या 13200 हो जाएगी।
a) 10640
b) 12784
c) 15300
d) 12544
e) None of these

4) A fraction is increased by 20% and after that numerator increases by 15% and
denominator increased by 60%, so that resultant becomes 3/8. What is the
original fraction?
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एि किन्न िो 20% बढ़ाया जाता है और उसिे बाद अंश िो 15% और हर िो 60% बढ़ाया
जाता है , कजससे पररणाम 3/8 हो जाता है। मूल किन्न क्या है ?
a) 43/50
b) 10/23
c) 23/52
d) 51/43
e) None of these

5) Two numbers are less than the third number by 60% and 33.33%
respectively. The percent by which the third number is more than the second
number.
दो संख्याएँ तीसरी संख्या से क्रमशः 60% और 33.33% िम हैं। वह प्रकतशत कजससे तीसरी
संख्या दू सरी संख्या से अकिि हो।
a) 36.36%
b) 80%
c) 50%
d) 54.54%
e) None of these

6) If a student multiplied a number by 6/11 instead of 12/7 then find the error
percentage in the calculation?
यकद किसी छात्र ने किसी संख्या िो 12/7 िे बजाय 6/11 से गुणा किया है तो गणना में त्रुकट
प्रकतशत ज्ञात िरें ?
a) 68.18%
b) 14.29%
c) 21.28%
d) 50%
e) None of these

7) Ratio between the expenditure and saving of A is 3:2. If income is increased by

20% and saving is decreased by 50% then calculate percentage change in
expenditure.
A िे व्यय और बचत िे बीच िा अनुपात 3:2 है । यकद आय 20% बढ़ जाती है और बचत 50%
िम हो जाती है तो व्यय में प्रकतशत पररवतष न िी गणना िरें ।
a) 50%
b) 66.66%
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c) 45%
d) 37.5%
e) None of these

8) The length and breadth of a rectangle are increased by (x+10)% and x% and
the area of rectangle increased by 56%. Find the value of x.\
एि आयत िी लं बाई और चौडाई (x+10)% और x% बढ़ जाती है और आयत िा क्षेत्रिल
56% बढ़ जाता है । एक्स िा मान ज्ञात िरें ।
a) 50
b) 36
c) 20
d) 35
e) None of these

9) When the price of rice increases by 40%, a woman wishes to spend only an
additional 26% on that. By what percent should she reduce the quantity of rice
consumed.
जब चावल िी िीमत 40% बढ़ जाती है , तो एि मकहला उस पर िेवल 26% अकतररक्त खचष
िरना चाहती है । उसे चावल िी खपत में कितने प्रकतशत िी िमी िरनी चाकहए?
a) 18%
b) 10%
c) 20%
d) 25%
e) None of these

10) A's monthly salary is 40% more than that of B. B's salary is 8.33% less than C.
C earns 20% more than D. Salary of A is what percent more or less than that of
D?
A िा माकसि वेतन B से 40% अकिि है। B िा वेतन C से 8.33% िम है । C, D से 20%
अकिि िमाता है । A िा वेतन D से कितने प्रकतशत अकिि या िम है ?
a) 33.33%
b) 25%
c) 54%
d) 133.33%
e) None of these
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11) The length of cuboid is increased by 27.27% and its breadth is decreased by
12.5%. By how much percent its height is decreased so that the volume of
cuboid decreased by 25%.
घनाि िी लंबाई 27.27% बढ़ जाती है और इसिी चौडाई 12.5% िम हो जाती है । इसिी
ऊंचाई कितने प्रकतशत िम िर दी जाए ताकि घनाि िा आयतन 25% िम हो जाए?
a) 9.09%
b) 32.65%
c) 11.11%
d) 12.5%
e) None of these

12) In a school ratio of number of boys and girls is 9:5 .70% of Boys and 56% of
girls got scholarship. Find the percentage of students who did not get any
scholarship.
एि स्कूल में लडिों और लडकियों िी संख्या िा अनुपात 9:5 है । 70% लडिों और 56%
लडकियों िो छात्रवृकि कमली। उन छात्रों िा प्रकतशत ज्ञात िीकजए कजन्हें िोई छात्रवृकि नहीं
कमली।
a) 25%
b) 35%
c) 45%
d) 55%
e) None of these

13) When the price of oranges is reduced by 40%, a house maker purchased 6 kg
more oranges in Rs. 2700. Find the approximate initial price of the oranges per
kg, at which the house maker purchased.
जब संतरे िी िीमत 40% िम हो गई, तो एि गृह कनमाष ता ने रुपये में 6 किलो अकिि संतरे
खरीदे । 2700. प्रकत किलोग्राम संतरे िा अनुमाकनत प्रारं किि मूल्य ज्ञात िीकजए, कजस पर गृह
कनमाष ता ने खरीदा था।
a) Rs. 240
b) Rs. 150
c) Rs. 200
d) Rs. 250
e) Rs. 300
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14) A's monthly salary is 25% more than that of B. B's salary is 6.67% more than C.
C earns 16.67% less than D Salary of D is what percent more or less than that
of A?
A िा माकसि वेतन B से 25% अकिि है । B िा वेतन C से 6.67% अकिि है । C, D से 16.67%
िम िमाता है । D िा वेतन A से कितने प्रकतशत अकिि या िम है ?
a) 10%
b) 14.28%
c) 8.33%
d) 28.56%
e) None of these

15) From the salary of an officer 25% is deducted as house rent,64% of the rest he
spends on children's education and 8.33% of the remaining balance, he spends
on clothes. After this expenditure he is left with Rs.4950. His salary is
एि अकििारी िे वेतन से 25% घर िे किराये िे रूप में िाटा जाता है , बािी िा 64% वह
बच्ों िी कशक्षा पर खचष िरता है और शे र् शे र् िा 8.33% वह िपडों पर खचष िरता है। इस
खचष िे बाद उसिे पास 4950 रुपये बचते हैं . उनिा वेतन है
a) 10,000
b) 15,000
c) 20,000
d) 25,000
e) None of these

16) Ramakant spends 62.5% of his income on house rent, 42.85% of the remaining
part on food and 18.18% of the remaining part on travelling and finally save
Rs.2916. Then find his total income.
रमािां त अपनी आय िा 62.5% घर िे किराए पर, शे र् िाग िा 42.85% िोजन पर और
शे र् िाग िा 18.18% यात्रा पर खचष िरते हैं और अंत में 2916 रुपये बचाते हैं । तो उसिी
िुल आय ज्ञात िीकजये।
a) 16,632
b) 15,964
c) 12,896
d) 18,786
e) None of these
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17) Father gives 36% of his monthly income to his 3 sons. He gives 83.33% of that
amount to his elder son. From which he spends 26.67% of the amount that he
acquires and his monthly saving remains Rs. 6930. Find the income of father.
कपता अपनी माकसि आय िा 36% अपने 3 बेटों िो दे ता है । वह उस राकश िा 83.33% अपने
बडे बेटे िो दे ता है। कजससे वह अकजषत राकश िा 26.67% खचष िरता है और उसिी माकसि
बचत रु. 6930. कपता िी आय ज्ञात िीकजये।
a) 28600
b) 31500
c) 32600
d) 34590
e) None of these

18) Rohan spends 20% of his salary on education fees, 30% of his salary on house
rent, 20% of the remaining on Loan, he spends Rs x on transport and he saves
Rs.1800 which is 20% of the remaining before he spends the salary on
transport. Find the value of x?
रोहन अपने वेतन िा 20% कशक्षा शुल्क पर खचष िरता है , अपने वेतन िा 30% घर िे किराए
पर खचष िरता है , शेर् िा 20% ऋण पर खचष िरता है , वह पररवहन पर x रुपये खचष िरता
है और वह 1800 रुपये बचाता है जो पहले शे र् िा 20% है वह वेतन पररवहन पर खचष िरता
है । एक्स िा मान ज्ञात िरें ?
a) 7200
b) 5400
c) 3600
d) 9000
e) None of these

19) In an election between two candidates, one got 84% of the total valid votes,
12% of the registered votes were invalid. If the total number of votes
was15000, then find the number of valid votes of the loser candidate.
दो उम्मीदवारों िे बीच हुए चुनाव में एि िो िुल वैि वोटों में से 84% वोट कमले , पंजीिृत वोटों
में से 12% अवैि थे। यकद िुल मतों िी संख्या 15000 थी, तो हारने वाले उम्मीदवार िे वैि
मतों िी संख्या ज्ञात िीकजये।
a) 2120
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b) 2112
c) 2256
d) 2350
e) None of these

20) In an election between two candidates, 87.5% of the voters cast their votes, out
of which 6.25% of the votes were declared invalid. A candidate got 1680 votes
which were 80% of the total valid votes. Find the total number of voters in the
voting list.
दो उम्मीदवारों िे बीच हुए चुनाव में 87.5% मतदाताओं ने वोट डाले , कजनमें से 6.25% वोट
अवैि घोकर्त िर कदए गए। एि उम्मीदवार िो 1680 वोट कमले जो िुल वैि वोटों िा 80%
थे । मतदान सूची में मतदाताओं िी िुल संख्या ज्ञात िीकजए।
a) 2500
b) 2480
c) 2560
d) 2820
e) None of these

21) In an election between two candidates 14.28% voters did not cast their votes.
10% cast voters were declared invalid. And the winner got 60% of the total
valid votes and won by 5400 votes. Find the total number of voters in the voting
list.
दो उम्मीदवारों िे बीच हुए चुनाव में 14.28% मतदाताओं ने वोट नहीं डाला। 10% वोट अवैि
घोकर्त िर कदये गये। और कवजे ता िो िुल वैि वोटों में से 60% वोट कमले और वह 5400 वोटों
से जीत गया। मतदान सूची में मतदाताओं िी िुल संख्या ज्ञात िीकजए।
a) 24000
b) 28000
c) 32000
d) 35000
e) None of these

22) A student X got 29% marks and failed by 13 marks. Another student Y got 39%
marks and scored 7 marks more than passing mark. Find the passing mark in
an examination.
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दो उम्मीदवारों िे बीच हुए चुनाव में 14.28% मतदाताओं ने वोट नहीं डाला। 10% वोट अवैि
घोकर्त िर कदये गये। और कवजे ता िो िुल वैि वोटों में से 60% वोट कमले और वह 5400 वोटों
से जीत गया। मतदान सूची में मतदाताओं िी िुल संख्या ज्ञात िीकजए।
a) 62
b) 68
c) 70
d) 71
e) None of these

23) A mixture of 72 liters of milk and water contains 87.5% milk, how much milk is
to be added to this mixture so that the-new mixture contains 88.89% milk.
72 लीटर दू ि और पानी िे कमश्रण में 87.5% दू ि है , इस कमश्रण में कितना दू ि कमलाया जाए
ताकि नए कमश्रण में 88.89% दू ि हो।
a) 10
b) 15
c) 9
d) 21
e) None of these

24) A PG has 1200 girls. 60% girls play badminton and 80% girls play chess. If each
girl plays badminton or chess or both, then how many girls play only
badminton?
एि पीजी में 1200 लडकियाँ हैं । 60% लडकियाँ बैडकमंटन खेलती हैं और 80% लडकियाँ
शतरं ज खेलती हैं । यकद प्रत्येि लडिी बैडकमंटन या शतरं ज या दोनों खेलती है , तो कितनी
लडकियाँ िेवल बैडकमंटन खेलती हैं ?
a) 240
b) 275
c) 320
d) 360
e) None of these

25) In an examination 75% of the candidates passed in GK and 65%'of the

candidates passed in SS, But 16%, failed in both of these subject. If 1680
candidates passed in one or both subject, Find the number of candidates who
appeared for examination.
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एि परीक्षा में 75% उम्मीदवार जीिे में उिीणष हुए और 65% उम्मीदवार एसएस में उिीणष
हुए, ले किन 16% उम्मीदवार इन दोनों कवर्यों में असिल रहे। यकद 1680 अभ्यथी एि या
दोनों कवर्यों में उिीणष हुए, तो परीक्षा में बैठने वाले अभ्यकथष यों िी संख्या ज्ञात िीकजए।
a) 2800
b) 3100
c) 3000
d) 3500
e) None of these

26) The monthly salary of A is 40% less than the monthly salary of B. Both A and B
spends 15% of their respective salary on education fees. If the saving of A is
Rs.2100 which is equal to the spending of B on education fees, then find the
expenditure of A other than education fees?
A िा माकसि वेतन B िे माकसि वेतन से 40% िम है । A और B दोनों अपने-अपने वेतन िा
15% कशक्षा शुल्क पर खचष िरते हैं। यकद A िी बचत 2100 रुपये है जो कि B िे कशक्षा शुल्क
पर खचष िे बराबर है , तो A िा कशक्षा शु ल्क िे अलावा अन्य खचष ज्ञात िीकजये?
a) 5040
b) 5820
c) 6120
d) 4850
e) None of these

27) The number of male employees in the company is 40% more than the number
of female employees in the company. If the number of female employees is
increased by 20% and the number of male employees in the company is
increased by 60%, then now the number of female employees in the company
is what percent of the number of male employees in the company?
िंपनी में पुरुर् िमषचाररयों िी संख्या मकहला िमषचाररयों िी संख्या से 40% अकिि है । यकद
िंपनी में मकहला िमषचाररयों िी संख्या 20% बढ़ जाती है और पुरुर् िमषचाररयों िी संख्या
60% बढ़ जाती है , तो अब िंपनी में मकहला िमषचाररयों िी संख्या िंपनी में पुरुर् िमषचाररयों
िी संख्या िा कितना प्रकतशत है ?
a) 48%
b) 53.57%
c) 63.5%
d) 72.48%
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e) None of these

28) Respective ratio of expenditure of P, Q and R is 30%, 22% and 20%, while
income of A is same as that of Q. Difference between expenditure of P and Q is
Rs. 480 and difference between expenditure of R and P and Q together is 50%
of difference between the expenditure of P and Q together, then find income of
Q. (expenditure of R is less than the expenditure of P and Q together)
P, Q और R िे व्यय िा क्रमशः अनुपात 30%, 22% और 20% है , जबकि A िी आय Q िे
समान है । P और Q िे व्यय िे बीच अंतर रु. है । 480 है और R और P तथा Q िे व्यय िे बीच
िा अंतर P और Q िे व्यय िे अंतर िा 50% है , तो Q िी आय ज्ञात िरें । (R िा व्यय P और
Q िे व्यय से िम है )
a) 13560
b) 12000
c) 14400
d) 16680
e) None of these

29) If we add 4 to the numerator of the fraction and increases denominator by 50%
then both become equal. And when the numerator is increased by 5 and
denominator is doubled then it becomes equal to the original fraction. What
will be three times of that fraction?
यकद हम किन्न िे अंश में 4 जोड दें और हर िो 50% बढ़ा दें तो दोनों बराबर हो जाते हैं । और
जब अंश में 5 िी वृद्धि िी जाती है और हर िो दोगुना िर कदया जाता है तो यह मूल किन्न िे
बराबर हो जाता है। उस किन्न िा तीन गुना क्या होगा?
a) 1/4
b) 5/6
c) 7/8
d) 5/2
e) None of these

30) Amit saves 40% of his income and Vivek saves 20% more than Amit. If the
income of Amit is 80% of the income of Vivek and Amit's expenditure is
Rs.12000, then what is the expenditure of Vivek ?
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अकमत अपनी आय िा 40% बचाता है और कववेि अकमत से 20% अकिि बचाता है । यकद
अकमत िी आय कववेि िी आय िा 80% है और अकमत िा व्यय 12000 रुपये है , तो कववेि
िा व्यय कितना है ?
a) 12620
b) 16800
c) 15400
d) 17100
e) None of these

31) Manish distributed 21%, 15% and 12% of his salary into his three brothers
who spend 42.85%, 46.66% and 41.66% of that amount respectively. The
difference between the total amount left with the brothers and Manish is
10625. What is the salary of Manish?
मनीर् ने अपने वेतन िा 21%, 15% और 12% अपने तीन िाइयों में कवतररत किया, जो उस
राकश िा क्रमशः 42.85%, 46.66% और 41.66% खचष िरते हैं। िाइयों और मनीर् िे पास
बची िुल राकश िे बीच िा अंतर 10625 है । मनीर् िा वेतन क्या है ?
a) 68500
b) 42500
c) 34000
d) 38000
e) None of these

32) In an examination minimum qualifying mark for class IX and X are 53.33% and
58.33% respectively. It is known that total marks of each class are same and a
girl of class X score (4x + 210) and failed by 240 marks and the passing marks
for class IX is (5x – 260), Then x is approximately how much percent of the total
marks?
एि परीक्षा में िक्षा IX और X िे कलए न्यू नतम अहष ता अंि क्रमशः 53.33% और 58.33% हैं।
यह ज्ञात है कि प्रत्येि िक्षा िे िुल अंि समान हैं और िक्षा X िी एि लडिी ने (4x + 210)
अंि प्राप्त किए और 240 अंिों से अनुिीणष हो गई और िक्षा IX िे कलए उिीणष अंि (5x -
260) हैं , तो x लगिग कितना प्रकतशत है िुल अंि?
a) 12%
b) 15%
c) 17%
d) 8%
e) None of these
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33) Santosh distributed his total assets to his wife, Two sons, Three daughters and
five grand-children in such a way that each grand-children got Four-fifth of
each son or Seven-eighth of each daughter. His wife got 50% of the total share
of his sons and daughters together. If each daughter received asset of worth
Rs.16000. What was the total worth of the assets received by his wife and his
five grand-children together?
संतोर् ने अपनी िुल संपकि अपनी पत्नी, दो बेटों, तीन बेकटयों और पांच पोते -पोकतयों में इस
तरह बां टी कि प्रत्येि पोते -पोकतयों िो प्रत्येि बेटे िा चार-पां चवां कहस्सा या प्रत्येि बेटी िा
सात-आठवां कहस्सा कमले । उनिी पत्नी िो उनिे बेटे और बेकटयों िी िुल कहस्सेदारी िा 50%
कहस्सा कमला। यकद प्रत्येि बेटी िो 16000 रुपये िी संपकि प्राप्त होती है । उनिी पत्नी और
उनिे पां च पोते -पोकतयों िो कमलािर प्राप्त संपकि िा िुल मूल्य कितना था?
a) 145500
b) 121500
c) 111500
d) 131500
e) None of these

34) A vessel has 70 ml of pure milk, if (x – 4) ml of pure milk is replaced by same

amount of water then milk in vessel becomes 2.5 time as that of water. If 1.4x
ml of mixture is removed and replaced by (2x – 13) ml of water then quantity
of water in the vessel becomes y ml. Find the value of y?
एि बतष न में 70 कमलीलीटर शु ि दू ि है , यकद (x – 4) कमलीलीटर शु ि दू ि िो समान मात्रा में
पानी से बदल कदया जाए तो बतष न में दू ि पानी से 2.5 गुना हो जाता है। यकद 1.4x कमलीलीटर
कमश्रण िो हटा कदया जाए और उसिे स्थान पर (2x – 13) कमलीलीटर पानी डाला जाए तो
बतष न में पानी िी मात्रा y कमलीलीटर हो जाती है। y िा मान ज्ञात िीकजये?
a) 45.4
b) 48.8
c) 32.8
d) 35.4
e) None of these

35) Rajan has a Bike worth of Rs.80,000, Two Laptop worth of Rs.1,50,000 and one
House worth of Rs.12,00,000. In next year, the cost of house increased by
33.33%, price of Bike is decreased by 31.25% and the cost of Laptops is
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decreased by 46.66%, then what is the percentage change in the net worth of
Rajan?
राजन िे पास 80,000 रुपये िी एि बाइि, 1,50,000 रुपये िे दो लै पटॉप और 12,00,000
रुपये िा एि घर है। अगले वर्ष, घर िी लागत में 33.33% िी वृद्धि हुई, बाइि िी िीमत में
31.25% िी िमी हुई और लै पटॉप िी िीमत में 46.66% िी िमी हुई, तो राजन िी कनवल
संपकि में कितने प्रकतशत पररवतष न हुआ?
a) 18.63%
b) 14.51%
c) 21.32%
d) 27.47%
e) None of these

36) Sunil Spends 10% of his income on Education and 50% of rest on food. The
respective ratio of the amount spent by Sunil on travel and his savings is 2:1
and his savings are approx. 14.2857% of his total income. Finally, he spends on
shopping is Rs.3600. If the difference between the amount he spends on
Education and food is (x+8800), Then find the value of x.
सुनील अपनी आय िा 10% कशक्षा पर और शेर् 50% िोजन पर खचष िरता है । सुनील द्वारा
यात्रा पर खचष िी गई राकश और उसिी बचत िा संबंकित अनुपात 2:1 है और उसिी बचत
लगिग है । उनिी िुल आय िा 14.2857%। अंततः , वह खरीदारी पर 3600 रुपये खचष
िरता है । यकद उसिे द्वारा कशक्षा और िोजन पर खचष िी गई राकश िा अंतर (x+8800) है ,
तो x िा मान ज्ञात िीकजए।
a) 50000
b) 40000
c) 60000
d) 450000
e) None of these

37) In a company one-fourth of the employees like cricket, 66.66% of the remaining
employees like Football and 40% of the remaining employees like both Hockey
and Golf but the remaining 420 employees like Tennis. If the total number of
employees in the company is x, then find the value of (x+200)?
37) एि िंपनी में एि-चौथाई िमषचारी कक्रिेट पसंद िरते हैं , शे र् 66.66% िमषचारी
िुटबॉल पसंद िरते हैं और शे र् 40% िमषचारी हॉिी और गोल्फ दोनों पसंद िरते हैं ले किन
शे र् 420 िमषचारी टे कनस पसंद िरते हैं। यकद िंपनी में िमषचाररयों िी िुल संख्या x है , तो
(x+200) िा मान ज्ञात िीकजये?
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a) 3200
b) 2600
c) 3000
d) 2800
e) None of these

38) Total number of Black and White balls in a box is x. If certain number of Black
and White balls added to the box, then the number of Black balls is increased
by 62.5% and number of White balls increased by 35 and then total number of
balls in the box is increased by 31.25%. If the ratio of the initial number of Black
to White balls in the box is 9:16, then find the value of x?
एि बॉक्स में िाली और सिेद गेंदों िी िुल संख्या x है । यकद बॉक्स में कनकित संख्या में िाली
और सिेद गेंदें जोडी जाती हैं , तो िाली गेंदों िी संख्या 62.5% बढ़ जाती है और सिेद गेंदों
िी संख्या 35 बढ़ जाती है और किर बॉक्स में गेंदों िी िुल संख्या 31.25% बढ़ जाती है । यकद
बॉक्स में िाली और सिेद गेंदों िी प्रारं किि संख्या िा अनुपात 9:16 है , तो x िा मान ज्ञात
िीकजए?
a) 800
b) 400
c) 600
d) 500
e) None of these

39) In a container X four-fifth is milk and the rest is water. In container Y the same
mixture is contained in which milk is 45.45% of total volume. 120 liters of
mixture taken out from container X and poured in container Y so that milk
becomes 1.5 times of the water in container Y. If the new quantity of mixture in
container Y is four-fifth of the initial quantity of mixture in container X then find
the initial quantity of milk in container X?
39) एि िंटे नर X में चार-पाँ चवाँ िाग दू ि है और शे र् पानी है । िंटे नर Y में वही कमश्रण है
कजसमें दू ि िुल मात्रा िा 45.45% है । िंटे नर X से 120 लीटर कमश्रण कनिाला गया और
िंटे नर Y में डाला गया ताकि दू ि िंटे नर Y में पानी िा 1.5 गुना हो जाए। यकद िंटे नर Y में
कमश्रण िी नई मात्रा िंटे नर X में कमश्रण िी प्रारं किि मात्रा िा चार-पां चवां कहस्सा है , तो िंटे नर
X में दू ि िी प्रारं किि मात्रा ज्ञात िरें ?
a) 325
b) 245
c) 395
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d) 285
e) None of these

40) Naresh and Mahesh appear for an Olympiad. For each correct answer 2 mark is
awarded and for each wrong answer 1 mark is deducted. Naresh answers some
questions and gets 25% of his answers wrong. He secures a score of 65% which
is 20 marks less than the pass marks. Mahesh also answers some questions and
gets 20% of his answers wrong. He gets a score of 75% which is 10 marks more
than the pass mark. No marks are awarded or deducted for the unanswered
questions. How many questions did Naresh attempt?
नरे श और महे श एि ओलं कपयाड िे कलए उपद्धस्थत हुए। प्रत्येि सही उिर िे कलए 2 अंि कदए
जाते हैं और प्रत्येि गलत उिर िे कलए 1 अंि िाटा जाता है। नरे श िुछ प्रश्ों िे उिर दे ता है
और उसिे 25% उिर गलत होते हैं । उसे 65% अंि प्राप्त हुए जो कि उिीणष अंिों से 20
अंि िम है। महे श िी िुछ प्रश्ों िे उिर दे ता है और उसिे 20% उिर गलत होते हैं । उसे
75% अंि प्राप्त हुए जो कि उिीणष अंि से 10 अंि अकिि है। अनुिररत प्रश्ों िे कलए िोई
अंि नहीं कदए जाते या िाटे नहीं जाते। नरे श ने कितने प्रश्ों िा प्रयास किया?
a) 116
b) 195
c) 156
d) 135
e) None of these

41) Because of business activity the population of city A is changing irregularly. In

first year the population increases by 12.5% next year it decreases by 11.11%.
In third year it increases by 10% but in fourth and fifth year it increases by 25%
and 15% respectively. If the population at the end of second year is 1,64,000
then find the population at the end of fifth year if the decrement in population
in sixth year is 28.9%?
41) व्यावसाकयि गकतकवकि िे िारण शहर A िी जनसंख्या अकनयकमत रूप से बदल रही है।
पहले वर्ष जनसंख्या 12.5% बढ़ जाती है अगले वर्ष 11.11% घट जाती है । तीसरे वर्ष में यह
10% बढ़ जाती है ले किन चौथे और पां चवें वर्ष में यह क्रमशः 25% और 15% बढ़ जाती है ।
यकद दू सरे वर्ष िे अंत में जनसंख्या 1,64,000 है तो पां चवें वर्ष िे अंत में जनसंख्या ज्ञात िीकजये
यकद छठे वर्ष में जनसंख्या में िमी 28.9% है ?
a) 3,61,325
b) 2,69,325
c) 3,59,325
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d) 2,59,325
e) None of these

42) Out of a total 800 people in library some people like Maths or science or both.
The total number of females in the library is 40% of the total number of people
in the library. The number of males like only maths is 75% of the total number
of males and the total number of males like science is 20% of the total number
of people. The number of people like only science is 40% of the total number of
people and a total of 50 people like Maths and Science both. What is the number
of females like only Maths ?
लाइब्रेरी में िुल 800 लोगों में से िुछ लोगों िो गकणत या कवज्ञान या दोनों पसंद हैं । पुस्तिालय
में मकहलाओं िी िुल संख्या पुस्तिालय में लोगों िी िुल संख्या िा 40% है । िेवल गकणत
पसंद िरने वाले पुरुर्ों िी संख्या पुरुर्ों िी िुल संख्या िा 75% है और कवज्ञान पसंद िरने
वाले पुरुर्ों िी िुल संख्या िुल लोगों िी संख्या िा 20% है । िेवल कवज्ञान पसंद िरने वाले
लोगों िी संख्या िुल लोगों िी संख्या िा 40% है और िुल 50 लोग गकणत और कवज्ञान दोनों
पसंद िरते हैं । िेवल गकणत पसंद िरने वाली मकहलाओं िी संख्या कितनी है ?
a) 70
b) 105
c) 90
d) 115
e) 120

43) Amit and Vrinda appear for a test and they attempted all the questions. For each
correct answer is awarded 1 mark and for each wrong answer 1/2 mark is
deducted. Amit answers some questions and gets _______% of his answers
wrong. He secures a score of 85% which is 6 marks more than the pass marks.
Vrinda also answers some questions and gets __________% of her answers wrong.
She gets a score of 70%. No marks are awarded or deducted for the unanswered
questions. The pass mark is 45.
43) अकमत और वृंदा एि परीक्षा िे कलए उपद्धस्थत हुए और उन्होंने सिी प्रश्ों िा उिर कदया।
प्रत्येि सही उिर िे कलए 1 अंि कदया जाता है और प्रत्येि गलत उिर िे कलए 1/2 अंि िाटा
जाता है। अकमत िुछ प्रश्ों िे उिर दे ता है और उसिे _______% उिर गलत हो जाते हैं। उसने
85% अंि प्राप्त किये जो कि उिीणष अंिों से 6 अंि अकिि है। वृंदा िी िुछ प्रश्ों िे उिर
दे ती है और उसिे __________% उिर गलत होते हैं । उसे 70% अंि कमले । अनुिररत प्रश्ों िे
कलए िोई अंि नहीं कदए जाते या िाटे नहीं जाते। पास मािष 45 है .
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a) 15%,30%
b) 25%,40%
c) 15%,20%
d) 10%,20%
e) Cannot be determined

44) Quantity I: There are three friends Raju, Babu and kabir and they are partners
in a partnership in which they invest Rs 40,000, Rs30,000 and Rs 20,000 after
8 months Raju increased his amount at 25% and Babu decreased his amount at
16.67%, After an year the total profit is Rs 20,845. What is the difference of
profit between Babu and Raju.
Quantity II: Rajesh's Income is 80% of the income of Raunak and Rajesh's
income is 66.67% more than the expenditure of Raunak and the ratio of
expenditure of Raunak and Rajesh is 6:7. The savings of Rajesh is Rs 10,812
then what is the total savings of both the persons.
मात्रा I: तीन दोस्त हैं राजू , बाबू और िबीर और वे एि साझे दारी में िागीदार हैं कजसमें वे
40,000 रुपये, 30,000 रुपये और 20,000 रुपये िा कनवेश िरते हैं , 8 महीने िे बाद राजू ने
अपनी राकश 25% बढ़ा दी और बाबू ने अपनी राकश िम िर दी। 16.67%, एि वर्ष िे बाद
िुल लाि 20,845 रुपये है । बाबू और राजू िे बीच लाि िा अंतर क्या है ?
मात्रा II: राजेश िी आय रौनि िी आय िा 80% है और राजेश िी आय रौनि िे व्यय से
66.67% अकिि है और रौनि और राजेश िे व्यय िा अनुपात 6:7 है । राजेश िी बचत
10,812 रुपये है तो दोनों व्यद्धक्तयों िी िुल बचत कितनी है ?
a) Quantity I > Quantity II
b) Quantity I <Quantity II
c) Quantity I >Quantity II
d) Quantity I < Quantity II
e) None of these

45) Quantity I: Raju has 20 % savings with him from his monthly salary. If the
expenditure for Rent and allowance is 40 % of overall expenditure and his
expenditure except Rent and Allowance is Rs 9600. Find his savings.
Quantity II: A man deposit 25% of his salary in PF. He saves 12% of the
remaining. The ratio of his expense on medicine and groceries is 8:3, of the
remaining salary after saving. If his expense on the medicine was Rs. 1800.Find
the monthly salary.
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Quantity III. The shopkeeper allows two successive discounts of 5% and 10%.
If the percentage of mark-up price of an item is 30% and the cost price of an
item is Rs.3000, then find the selling price of an item.
मात्रा I: राजू िे पास उसिे माकसि वेतन से 20% बचत है । यकद किराया और ििे पर व्यय
िुल व्यय िा 40% है और किराया और ििे िो छोडिर उसिा व्यय 9600 रुपये है । उसिी
बचत ज्ञात िरें ।
मात्रा II: एि व्यद्धक्त अपने वेतन िा 25% पीएि में जमा िरता है। वह शे र् िा 12% बचाता
है । दवा और किराने िे सामान पर उसिे खचष िा अनुपात बचत िे बाद शे र् वेतन िा 8:3 है ।
यकद दवा पर उसिा खचष रु. 1800. माकसि वेतन ज्ञात िीकजए।
मात्रा III. दु िानदार 5% और 10% िी दो क्रकमि छूट दे ता है । यकद किसी वस्तु िे अंकित
मूल्य िा प्रकतशत 30% है और किसी वस्तु िा लागत मूल्य 3000 रुपये है , तो उस वस्तु िा
कवक्रय मूल्य ज्ञात िीकजए।
a) Quantity II< Quantity I < Quantity II
b) Quantity I> Quantity II > Quantity III
c) Quantity III> Quantity I> Quantity II
d) Quantity II > Quantity I > Quantity III
e) None of these

46) Quantity I: The price of rice is increased by 20% and the consumption of a
family is decreased by 25%. Find the percentage change in expenditure?
Quantity II: A student scored 28% marks and failed by 36 marks. Another
student scored 44% marks and scored 12 marks more than the passing marks.
Find the passing percentage.
Quantity III: Rate of income tax is increased by 17%. Net Income is decreased
by 3%. Find the rate of income tax.
मात्रा I: चावल िी िीमत 20% बढ़ जाती है और एि पररवार िी खपत 25% िम हो जाती
है । व्यय में प्रकतशत पररवतष न ज्ञात िीकजये?
मात्रा II: एि छात्र ने 28% अंि प्राप्त किए और 36 अंिों से अनुिीणष हो गया। एि अन्य छात्र
ने 44% अंि प्राप्त किए और उिीणष अंिों से 12 अंि अकिि प्राप्त किए। उिीणष प्रकतशत ज्ञात
िीकजये.
मात्रा III: आयिर िी दर में 17% िी वृद्धि हुई है । शु ि आय में 3% िी िमी हुई है । आयिर
िी दर ज्ञात िीकजए।
a) Quantity III< Quantity I< Quantity II
b) Quantity III> Quantity I> Quantity II
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c) Quantity III> Quantity I> Quantity II

d) Quantity I < Quantity II > Quantity III
e) None of these

47) The question consists of three statements numbered "I, II, and III " given below
it. You have to decide that data provided in which of the following statements
alone is not sufficient to answer the question.
How many persons like only pen X out of three pens X, Y and Z if total persons
are 500?
Statement I: Total persons who like either X or Y or both is 70% and the ratio
of the total persons and person who like only Z and Only X is 4:1.
Statement II: Total persons who like only pen Z is 15%.
प्रश् िे नीचे तीन िथन "I, II और III" कदए गए हैं। आपिो यह तय िरना होगा कि कनम्नकलद्धखत
में से किस िथन में प्रदान किया गया डे टा अिेले प्रश् िा उिर दे ने िे कलए पयाष प्त नहीं है ।
यकद िुल व्यद्धक्त 500 हैं तो कितने व्यद्धक्त तीन पेन X, Y और Z में से िेवल पेन X पसंद िरते
हैं ?
िथन I: िुल व्यद्धक्त जो या तो X या Y या दोनों िो पसंद िरते हैं , 70% है और िुल व्यद्धक्तयों
और िेवल Z और िेवल X िो पसंद िरने वाले व्यद्धक्त िा अनुपात 4:1 है ।
िथन II: िेवल पेन Z पसंद िरने वाले व्यद्धक्तयों िी िुल संख्या 15% है ।
a) The data in statement I alone are sufficient to answer the question, while the
data in statement II alone are not sufficient to answer the question.
b) The data in statement II alone are sufficient to answer the question, while
the data in statement I alone are not sufficient to answer the question.
c) The data either in statement I alone or in statement II alone are sufficient to
answer the question.
d) The data given in both statements I and II together are not sufficient to
answer the question.
e) The data in both statements I and II together are necessary to answer the
question

48) The question consists of two statements numbered I and II given below it. You
have to decide whether the data provided in the statements are sufficient to
answer the question.
There are three tanks A, B and C such that 60% of A, 80% of B and 50% of are
filled with the same type of mixture. Which tank has the highest capacity?
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Statement I: Mixture is poured from tank A into tank C until it is full and then
the remaining mixture is poured into tank B. This leaves one tenth of tank B
empty.
Statement 2: Pouring Mixture from tank C into tank B until B is full would leave
tank C 75% empty.
प्रश् िे नीचे दो िथन संख्या I और II कदए गए हैं । आपिो यह तय िरना होगा कि िथनों में
कदया गया डे टा प्रश् िा उिर दे ने िे कलए पयाषप्त है या नहीं।
तीन टैं ि A, B और C इस प्रिार हैं कि A िा 60%, B िा 80% और 50% एि ही प्रिार िे
कमश्रण से िरे हुए हैं । किस टैं ि िी क्षमता सबसे अकिि है ?
िथन I: कमश्रण िो टैं ि A से टैं ि C में तब ति डाला जाता है जब ति कि यह िर न जाए और
किर शेर् कमश्रण िो टैं ि B में डाल कदया जाता है । इससे टैं ि B िा दसवां कहस्सा खाली रह
जाता है ।
िथन 2: टैं ि सी से टैं ि बी में तब ति कमश्रण डालने से जब ति बी िर न जाए, टैं ि सी 75%
खाली हो जाएगा।
a) The data in statement I alone are sufficient to answer the question, while the
data in statement II alone are not sufficient to answer the question.
b) The data in statement II alone are sufficient to answer the question, while
the data in statement I alone are not sufficient to answer the question.
c) The data either in statement I alone or in statement II alone are sufficient to
answer the question.
d) The data given in both statements I and II together are not sufficient to
answer the question.
e) The data in both statements I and II together are necessary to answer the
question

49) The question consists of four statements: I, II, III and IV given below it. You have
to decide whether the data given in which of the following statements alone is
sufficient to answer the question.
A mixture of milk and water contains 120 liters milk. Find the quantity of water
in the mixture.
Statement I: The quantity of milk in the mixture is 50% less than that of water.
Statement II: When 50% of the mixture is taken out in an empty container ‘Z’
and 10 litres of water is added to it, then the milk become 42.85% of water.
Statement III: The difference between the quantities of milk and water is 60
litres.
Statement IV: The quantity of milk in the mixture is less than that of water.
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प्रश् में नीचे चार िथन I, II, III और IV कदए गए हैं । आपिो यह तय िरना होगा कि कनम्नकलद्धखत
में से किस िथन में कदया गया डे टा अिेले प्रश् िा उिर दे ने िे कलए पयाष प्त है ।
दू ि और पानी िे कमश्रण में 120 लीटर दू ि है । कमश्रण में पानी िी मात्रा ज्ञात िीकजये।
िथन I: कमश्रण में दू ि िी मात्रा पानी िी तुलना में 50% िम है ।
िथन II: जब 50% कमश्रण िो एि खाली िंटे नर 'Z' में कनिाल कलया जाता है और इसमें 10
लीटर पानी कमलाया जाता है , तो दू ि 42.85% पानी बन जाता है।
िथन III: दू ि और पानी िी मात्रा िे बीच िा अंतर 60 लीटर है ।
िथन IV: कमश्रण में दू ि िी मात्रा पानी िी तुलना में िम है ।
a) Both statements I and II
b) Both statements II and III
c) Both statements III and IV
d) Both statements I,II and III
e) None of these

50) A survey was conducted among "N" student who like at least one of the three
subject out of Math, Science and History. Number of students who like only
History is same as number of students who like both Science and Math but do
not like History. Number of students who like only Math is same as number of
student who like both History and Science but do not like Math. Number of
students who like only Science is 280 more than number of student who like
both Math and History and do not like Science, which is twice the number of
student who like all three types of subject.
The question consists of two statements numbered “I and Il" given below it.
You have to decide whether the data provided in the statements are sufficient
to answer the question. Find the value of "N".
Statement l: Number of students who like only Math and only History is 700.
Statement II: Number of students who like exactly two types of subjects is
1100.
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"एन" छात्र िे बीच एि सवेक्षण आयोकजत किया गया था जो गकणत, कवज्ञान और इकतहास में
से िम से िम तीन कवर्यों में से एि िो पसंद िरता है । िेवल इकतहास पसंद िरने वाले
छात्रों िी संख्या उन छात्रों िी संख्या िे समान है जो कवज्ञान और गकणत दोनों पसंद िरते हैं
ले किन इकतहास पसंद नहीं िरते हैं । िेवल गकणत पसंद िरने वाले छात्रों िी संख्या उन
छात्रों िी संख्या िे समान है जो इकतहास और कवज्ञान दोनों पसंद िरते हैं ले किन गकणत पसंद
नहीं िरते हैं । िेवल कवज्ञान पसंद िरने वाले छात्रों िी संख्या उन छात्रों िी संख्या से 280
अकिि है जो गकणत और इकतहास दोनों पसंद िरते हैं और कवज्ञान पसंद नहीं िरते हैं , जो कि
तीनों प्रिार िे कवर्य पसंद िरने वाले छात्रों िी संख्या से दोगुना है ।
प्रश् में नीचे कदए गए दो िथन "I और II" अंकित हैं । आपिो यह तय िरना है कि िथन में
कदया गया डे टा प्रश् िा उिर दे ने िे कलए पयाषप्त है या नहीं। "N" िा मान ज्ञात िीकजए।
िथन l: िेवल गकणत और िेवल इकतहास पसंद िरने वाले छात्रों िी संख्या 700 है ।
िथन II: कबल्कुल दो प्रिार िे कवर्य पसंद िरने वाले छात्रों िी संख्या 1100 है ।
a) The data in statement I alone are sufficient to answer the question, while
the data in statement lI alone are not sufficient to answer the question.
b) The data in statement II alone are sufficient to answer the question, while
the data in statement I alone are not sufficient to answer the question.
c) The data in both statements l and Il together are necessary to answer the
question.
d) The data either in statement I alone or in statement Il alone are sufficient
to answer the question.
e) The data given in both statements I and II together are not sufficient to
answer the question.
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SOLUTION
1) Answer- A
Let the number is x.
x – 43.75% of x = 4500
x – (7x/16) = 4500
x(1 – 7/16) = 4500
x*9/16 = 4500
x = 4500*16/9
x = 8000
Hence, the number is 8000.

2) Answer- C
Let the number be x and y
We know, 8.33% = 1/12 and 37.5%=3/8
x*13/12 = y*3/8
x/y = (3*12)/ (13*8)
x/y =9/26
Hence, required ratio is 9:26.

3) Answer- A
Let present population is x.
We know 5.26% = 1/19, 37.5% = 3/8, 14.28% = 1/7
x*(20/19)*(11/8)*(6/7)=13200
x=10640
Hence, present population is 10640.

4) Answer- B
Let the fraction is x/y.
(x/y)*120% =6x/5y
6x*115%/5y*160% =3/8
x/y =3*5*160/(8*6*115)
x/y=10/23
Hence, the fraction is 10/23.

5) Answer- C
Let three numbers are a, b, c respectively.
a=(100-60)% of c
a:c=2:5
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b:c=2:3
a:b:c=6:10:15
third number is more than the second number=(c-b)*100/b=50%

6) Answer- A
Error percentage =[{(12/7)-(6/11)}*100]/(12/7)
=68.18%

7) Answer- B
Let expenditure and saving 3x and 2x respectively.
Income = Expenditure + Saving
Income = 5x
Income is increased by 20% =6x
Saving is decreased by 50%= x
New Expenditure = 5x
percentage change in expenditure =(5x-3x)*100/3x = 66.66%

8) Answer-C
Let the length and breadth of a rectangle are a and b respectively.
Area = a*b=ab
After increment
Length =(110+x)a
Breadth = (100+x)b
Area =156ab
Area = ab
156ab=(110+x)a*(100+x)b
x=20

9) Answer- B
Let old price of rice is 100 and old expenditure is 100.
Consumption= Expenditure/ Price
Old Consumption=100/100=1
New price of rice is 140 and new expenditure is 126.
New Consumption=126/140
Percent reduce the quantity of rice consumed= (1-126)*100/140*1
=10%

10) Answer- C
A = 140% of B
A=7B/5
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A:B=7:5
B:C=11:12
C:D=6:5
A:B:C:D=77:55:60:50
More%=(77-50)*100/50=54%

11) Answer- B
Let length of cuboid is l, breadth of cuboid is b, height of cuboid is h
Volume of cuboid = l*b*h
Let new height is H
New Volume = (14l/11)*(7b/8)* H = 3l*b*h/4
H/h =3*11*8/4*14*7=33/49
H/h=33/49
Decrement in height =(49-33)*100/49=32.65%

12) Answer- B
Let number of boys =900x
Girls=500x
Number of boys got scholarship =630x
Number of girls got scholarship=280x
Total students who did not get any scholarship=900x+500x-630x-
280x=490x
Percentage of students who did not get any scholarship = 490x*100/1400x
=35%

13) Answer- E
Let the original price per kg of the article be Rs.x
Then the reduced price per kg = (60/100 )*Rs.x
Amount of article that can be bought for Rs. 2700 originally= 2700/x kg
Amount of article that can be bought for Rs.2700 by reduced price =
2700/60% of x
=2700*5/3x kg
Given 2700*5/3x = (2700/x ) +6
(4500/x) – (2700/x) =6
1800/x =6
X=300

14) Answer- A
Let A’s, B’s, C’s and D’s monthly salary is A, B, C and D respectively.
A:B = 5:4
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B:C=16:15
C:D=5:6
A:B:C:D=20:16:15:18
Required percentage =(20-18)*100/20=200/20=10%

15) Answer- C
Let his salary is x.
x*(75/100)*(36/100)*(11/12)=4950
x=20,000

16) Answer- A
Let Ramakant total income is x.
x*(3/8)*(4/7)*(9/11)=2916
x=16,632

17) Answer- B
Let the income of father is x.
We know , 36%=9/25, 83.33%=5/6, 26.67%=4/15
x*(9/25)*(5/6)*(11/15)=6930
x=31500

18) Answer- A
Let the Rohan salary is 100
On education fees =20
On house rent = 30
Remaining =100-20-30=50
Loan =50*20%=10
Remaining =50-10=40
Saves 20%=1800
100%=9000
40% on transport =7200

19) Answer- B
Let the number of valid votes of other candidate is x.
15000*(88/100)*(16/100) = x
x=2112

20) Answer-C
Let the total number of voters in the voting list is x.
x*(7/8)*(15/16)*(80/100) = 1680
x= 2560
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21) Answer- D
Let the total number of voters in the voting list is x.
x*(6/7)*(9/10)*(1/5) = 5400
x=35000

22) Answer- D
Let passing mark in an examination is x.
29% +13 =39% -7
10% =20
1% =2
29% +13 =x = 29*2 +13
x= 71

23) Answer- C
Milk in mixture =72*7/8 =63
Water in mixture = 72*1/8=9
Let add milk is ‘x’
We know 88.89%=8/9
63+x/9=8/1
63+x=72
x=72-63=9

24) Answer- A
Let total girls 100
Total girls = girls play badminton + girls play chess - girl plays badminton
or chess or both
100 = 60 +80 - girl plays badminton or chess or both
girl plays badminton or chess or both =40
only plays badminton =60-40=20
% of only plays badminton =20*100/100=20%
girls play only badminton = 1200*20% =240

25) Answer- C
Let candidates passed in both subject is x%.
Let Total candidates who appeared for examination is 100
Candidates passed in GK + candidates passed in SS - candidates passed in
both subject = Total pass candidates
75 +65 –x =100-16
140-x =84
x=56
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ATQ
56% = 1680
1% =30
100% = 3000

26) Answer- A
Salary of B = x
Salary of A = x * 60/100 = 0.6x
Expenditure of B on education fees = 15x/100
15x/100 = 2100
x = 14000
Salary of A= 0.6 * 14000 = 8400
Expenditure of A on education fee = 15/100 *8400 = 1260
Remaining expenditure of A = 8400 – 1260 –
2100 = Rs.5040

27) Answer- B
Initial Number of female employees = 100x
Number of male employees = 100x * 140/100 = 140x
Number of female employees after increasing 20% = 100x * 120/100 =
120x
Number of male employees after increasing 60% = 140x * 160/100 = 224x
Required percentage = (120x/224x )* 100 = 53.57%

28) Answer-C
Let the income of P = 100a
Income of Q = 100a
According to question
30% of 100a – 22% of 100a = 480
8% of 100a = 480
Then, a = 60
Income of P = Income of Q = 6000
Expenditure of (P + Q) = 30% of 6000 + 22% of 6000 = 3120
Expenditure of R = 3120 – 50% of 480 = 2880
Income of R = 2880/20 x 100 = 14400

29) Answer- D
Let the numerator and denominator of a fraction be x and y respectively
ATQ
x + 4 =1.5y
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x+5/2y =x/y

x=5 ,y=6
Original fraction =5/6
Required fraction =5*3/6=5/2

30) Answer –C
Amit’s income=80/100 * Vivek=4* Vivek /5
Amit’s income=100/60 * 12000=20000
Amit’s saving=20000 * 40/100=8000
Vivek’s savings=8000 * 120/100=9600
Vivek’s income=5/4 * 20000=25000
Expenditure of Vivek =25000 – 9600=15400

31) Answer – B
Let the salary of Manish = 100x
Total amount distributed to his brother = 21x + 15x + 12x = 48x
Total amount left with Manish = 100x – 48x = 52x
Total amount left with his brothers = 21x * 4/7 + 15x * 8/15 + 12x*7/12 =
12x + 8x + 7x = 27x
ATP,
52x – 27x = 10625
25x = 10625
4*25x = 4*10625
100x = 42500

32) Answer – A
Let the total marks be y
Passing marks of Class IX = 5x – 260 = 8/15 of y
y = 15/8(5x – 260) ----- (i)
Passing marks of Class X = 4x + 210 +240 = 7/12 of y
y = 12/7 (4x + 450) ----- (ii)
From i and ii
15/8 (5x – 260) = 12/7 (4x + 450)
105 (5x – 260) = 96 (4x + 450)
525x – 27300 = 384x + 43200
141x = 43200 + 27300
141x = 70500
x = 500
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y = 15/8 (2500 – 260)

y = 15/8*2240

y = 4200

Req. % = 500/4200 *100 = 11.9% = 12%

33) Answer - C
assets to his wife = W
assets to his Two sons = 2S
assets to his Three daughters = 3D
assets to his five grand-children = 5G
ATP,
G =4S/5=7D/8
W=1/2 (2S+3D)
Total amont recived his daugther =3*16000=48000
G=7/8*(16000)
G=14000
4S/5=14000
S=5/4*14000
S=17500
Total amont recived his sons =2*17500=35000
W=1/2 (35000+48000)
W=41500
The total worth of the assets received by his wife and his five grandchildren
together=
=41500+5*14000=41500+70000=111500

34) Answer - A
ATP,
70-(x-4)=2.5(x-4)
70-x+4=2.5x-10
3.5x=84
x=84/3.5=24
Ratio of milk and water=50:20=5:2
20-2/7 (1.4*24)+(2*24-13)=y
y=20-2*0.2*24+48-13
y=20-9.6+48-13
y=45.4
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35) Answer-B
Total net worrth of rajan this year=80,000+1,50,000+12,00,000
=1430000
Toatl net worth of Rajan next year=
=80000*11/16+150000*8/15+1200000*4/3
=55000+80000+1600000=1735000
Req.Change=(1735000-
1430000)/1430000=305000/1430000*100=21.32%

36) Answer-A
Let the total income be 70a
Amount spent on education=70a*10/100=7a
Amount spent on food=70a*90/100*50/100=31.5a
Amount saved by sunil=70a*1/7=10a
Amount spent on Travel=10a*2=20a
Amount spent on shopping=70a-(7a+31.5a+10a+20a)
=1.5a
ATP,
1.5a=3600
a=2400
req.difference=31.5a-7a=21.5a=24.5*2400=58800
ATP,
x+8800=58800
x=58800-8800
x=50000

37) Answer-C
No.of employee like cricket=x/4
No.of employee like football=3x/4*2/3=x/2
No.of employee like Hockey and Golf=3x/4*1/3*2/5=x/10
No.of employee like Tennis=420
ATP,
x-x/4-x/2-x/10=420
20x-17x=20*42
3x=20*42
x=2800
x+200=2800+200=3000

38) Answer-B
Let the total number of Black Ball and white ball be 9a and 16a
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ATP,
9a*13/8+16a+35=25a*21/16
117a+12a+280=525a/2
35a=560
a=16
x=25a=25*400
x=400

39) Answer – D
Let the quantity of milk and water in container X is 4x and x respectively.
Let the quantity of milk and water in container Y is 5y and 6y respectively.
Then, according to the question,
(5y + 120 ×4/5)/(6y + 120 ×1/5)=1.5/1
(5y + 96)/(6y + 24)=3/2
10y + 192 = 18y + 72
8y = 15
Now, the new quantity of mixture in container Y is,
= (5 × 15 + 96) + (6 × 15 + 24)
= (75 + 96) + (90 + 24)
= 285 litres

40) Answer - C
Naresh Mahesh
Let no of questions attempted be X Y
no of right attempts = 3X/4 4Y/5
no of wrong attempts = X/4 Y/5
marks secured = (2*3X/4)-X/4 (2*4Y/5)-Y/5
= 5X/4 7Y/5

ATQ,
75% 0f total marks-65% 0f total marks= 20+10
10% of total marks =30
Total marks= 300
5X/4=65% 0f 300
5X/4= 195
X=156

41) Answer D
 Top 50
Percentage

Let the population at beginning be 8X

Population at end of 1 year=112.5% of 8X=9X
population at the end of 2nd year=9X-11.11% of 9X =8X=1,64,000
X=20,500
Population at end of 3 year= 110% of 8X = 8.8X
Population at end of 4 year = 125% of 8.8X = 11X
Population at end of 5 year = 115% 0f 11X = 12.65X
=20,500*12.65 = 2,59,325

42) Answer A
No of males in library = 60% 0f 800=480
Males who Like only math’s= 75% of 480=360
Males who Like science =20% of 800=160
Males who like both = 520-480= 40
Male who like only science = 120-40= 80
No of females in library = 40% of 800= 320
ATQ,
No of people who like only science=40% of 800=320
No of females who like only science = 320-80=240
No of females who like both= 50-40=10
No of females who like only maths =320-240-10=70

43) Answer D
Score of Amit =45+6=51
Total score = (51/85)*100=60
Vrinda’s Score= 70% of 60 = 42
Now, amit,s wrong attempt = 60-51/1.5 =9/1.5 = 6
Req %= (6/60)*100= 10%
Vrinda,s wrong attempt = 60-42/1.5 = 12
Req % = (12/60)*100= 20%

44) Answer B
Quantity 1
RAJU BABU KABIR
Invest. for 8 months = 40,000*8 30,000 *8 20,000*8
Invest. for next 4 months= 40,000*5/4*4 30,000*5/6*4 20,000*4
Final investment Ratio = 26 : 17 : 12
Given,
55R=20,845
 Top 50
Percentage

Raju – Babu =9R=3,411

Quantity 2
RAJESH RAUNAK
Income 400X : 500X
Expenditure 280X : 240X
Saving 120X : 260X
Given,
120X= 10,812
Total saving of both persons = 380X= (10,812/120)*380= 34,238

So we can clearly see Q1<Q2

45) Answer B
Quantity 1
Raju’s salary = X
Expenditure = 0.8X
Rent and allowance = 0.32X
If we take 0.48X=9600
Then saving = 0.20X= 4000

Quantity 2
Let the monthly salary is x.
x*(3/4)*(22/25)*(8/11)=1800
x=3750

Quantity 3
Let the CP be 100X
X= 3
So, MP=130X
And,
SP= 130X*95/100*90/100
=111.15X = 111.15 *30 =3334.5

46) Answer- D
Quantity I:
Let old price of rice is 100 and old consumption of a family is 100
Expenditure = Price * Consumption
Old expenditure = Old price * old consumption =100*100=10000
 Top 50
Percentage

New price =120

New consumption=75
New expenditure=120*75=9000
Percentage change in expenditure = (Old expenditure - New expenditure)
*100/ Old expenditure
=(10000-9000)*100/10000
=10%
Quantity II:
Let passing percentage is x%.
28% +36 =44% -12
36+12 =44% -28%
48 =16%
1%=3
100%=300= Total marks
Passing marks =28% +36= 28*3 +36=84+36=120
Passing percentage = 120*100/300 =40%

Quantity III:
Increase in income tax =17%
Decrease in net income =3%
The change in income tax and net income is always equal.
Total income = Net income +Income tax
Tax /Net income =3/17
Total income =17+3=20
Tax% =3*100/20 =15%

47) Answer B
Statement 1
Total persons who like X or Y or both = 70% of 500=350
Z:X=1:4
Statement 2
Total persons who like only pen Z = 15% 0f 500=75
Total persons who like only X= 75*4= 300
So statement 2 alone is required (B)

48) Answer E
let the total capacity of A,B and C be 10X,10Y and 10Z respectively
amount filled in tanks A,B and C= 6x,8y and 5z
Statement 1
Capacity of tank B =(6x-5z)*10 = 60X-50Z
 Top 50
Percentage

Statement 2
(5Z-2Y) = 2.5Z
2.5Z=2Y
so, y:z= 5:4
10Y=60X-50Z
50R=60X-200R
250R=60X
10X=4.16R
So capacities of Tank A,B and C= 4.16R,50R,40R
So tank B has highest capacity and both statements are necessary to answer
the question.

49) Answer A
Statement I:
Let, water in mixture be 100x
Milk in the mixture = 50x
Now,
100x + 50x = 120
150x = 120
x = 0.8
Water in mixture = 50*0.8 = 40
Statement II:
42.85% =3/7
Let milk in 60l mixture be x
water in mixture = 60 – x
Now ,
x 3
=
60 − x + 10 7
7x = 180 − 3x + 30
10x = 210
x = 21
water in mixtuer = 2(60 − x) = 2(60 − 21) = 78
Statement III:
Not sufficient
Statement IV:
Not sufficient
 Top 50
Percentage

50) Answer C

ATP,
C=X
A=Z
B=280+Y
Y=2M
Statement (i)
A+C=700
Statement (ii)
X+Y+Z=1100
By (I) and (ii)
Y = 1100 – 700
Y = 400

B= 280+400
B = 680
M =y/2 = 400/2 = 200
N = A+B+C+X+Y+Z+M= 700 + 680 + 1100 + 200 =2680