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Alligation Practice Sheet

Alligationn Practice sheet

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0% found this document useful (0 votes)
138 views8 pages

Alligation Practice Sheet

Alligationn Practice sheet

Uploaded by

bharti6397626975
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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1. Find the ratio in which rice at Rs.120 per kg is mixed with rice at Rs.

155 per kg to get a mixture worth


Rs.135 a kg.
og vuqikr Kkr dhft,] ftleas Rs. 120 çfr kg okys pkoy dks Rs. 155 çfr kg okys pkoy ds lkFk feykdj Rs. 135 çfr
kg dh nj okyk pkoy&feJ.k çkIr fd;k x;k gksA
(a) 3:4
(b) 2:3
(c) 1:3
(d) 4:3
2. Find the ratio in which rice at Rs.120 per kg is mixed with rice at Rs.155 per kg to get a mixture worth
Rs.135 a kg.
og vuqikr Kkr dhft,] ftleas Rs. 120 çfr kg okys pkoy dks Rs. 155 çfr kg okys pkoy ds lkFk feykdj Rs. 135 çfr
kg dh nj okyk pkoy&feJ.k çkIr fd;k x;k gksA
(a) 3:4
(b) 2:3
(c) 1:3
(d) 4:3
3. Champa buys type 1 sugar at `45 per kg. He mixes it with type 2 sugar having a price of `48 per kg. The
final mixture becomes worth `46 per kg. What is the ratio of the quantities of type 1 sugar to type 2
sugar in the final mixture?
paik `45 çfr fdxzk= ds Hkko ls dqN ek=k esa phuh [kjhnrk gSA og bls `48 çfr fdxzk- ds Hkko dh phuh ds lkFk feykrk gSA vafre
feJ.k dk ewY; `46 çfr fdxzk- gks tkrk gSA vafre feJ.k esa çdkj 1 dh phuh dh ek=k dk çdkj 2 dh phuh dh ek=k ls vuqikr D;k
gS\
(a) 1:2
(b) 2:3
(c) 3:2
(d) 2:1
4. In what ratio should lentils costing Rs.77.50/kg be mixed with lentils costing Rs.83.50/kg to get the
average price of Rs.80/kg of the resulting mixture?
Rs. 77.50/kg dh nky dks Rs. 83.50 /kg dh nky ds lkFk fdl vuqikr esa feyk;k tkuk pkfg, rkfd vkSlr ewY; Rs. 80/kg
okyk ifj.kkeh feJ.k çkIr gks\
(a) 5:7
(b) 4:3
(c) 3:4

BY Gagan Pratap
(d) 7:5
5. How many kg of rice worth Rs.25 per kg must be mixed with 30 kg of rice worth
Rs.30 per kg so that by selling the mixture at Rs.29.7 per kg, there is a gain of 10%?
25 :- izfr fdyksxzke pkoy ds fdrus Kg, 30 :- izfr kg ds 30 kg pkoy ds lkFk fefJr fd;k tkuk pkfg, rkfd fefJr dks
:-29-7@ kg ij cspdj 10% ykHk gks\
(a) 25 kg (b) 45 kg
(c) 60 kg (d) 27 kg
6. Lalit purchased 20 kg sugar at the rate of Rs 40 per kg and 25 kg at the rate of Rs 24 per kg.
He mixed both types. At what price per kg should he sell the mixture to make 20% profit in
the whole transaction? (correct to two decimal place)
लललत ने 20 किलो चीनी 40 रुपये प्रतत किलो िी दर से और 25 किलो चीनी 24 रुपये प्रतत किलो िी दर
से खरीदी। उसने दोनों प्रिार िी चीनी िो लिलाया। सम्पर्
ू ण लेनदे न िें 20% लाभ ििाने िे ललए उसे प्रतत
किलोग्राि किस िल् ू य पर लिश्रर् बेचना चाहिए? (दशिलव से ठीि दो स्थान ति)
a) Rs 37.33 (b) Rs 41.64
(c)Rs 34.20 (d)Rs 36.17
7. Two vessels contain milk and water in the ratio 9:4 and 3:7 respectively. In what ratio the contents of
these vessels be mixed. If the resultant mixture should contain milk and water in the ratio 10:11?
दो बतणनों िें क्रिशः 9: 4 और 3: 7 िे अनुपात िें दध ू और पानी िा लिश्रर् िै। बतणनों िे लिश्रर् िो
किस अनुपात िें लिलाया जाना चाहिए। जजससे पररर्ािी लिश्रर् िें दध
ू और पानी िा अनुपात 10:11 िो
जाए ?
a)460:583 b)68:49 c)590:481 d)481:590
8. If x beakers of 100 ml containing 1:4 acid water solution are mixed with y beakers
of 200 ml containing 3 : 17 acid water solution, then the ratio of acid to water in
the resulting mixture becomes 19:91. Find x : y?
;fn 1%4 vEy vkSj ikuh ds ?kksy ds 100 ml okys x chdj dks 3 % 17 vEy ikuh okys ?kksy ds 200 ml okys y chdj esa feyk;k
tkrk gSA rks ifj.kkeh feJ.k esa vEy vkSj ikuh dk vuqikr 19%91 gks tkrk gSA x : y Kkr djsA
(a) 5 : 3 (b) 3 : 5
(c) 7 : 13 (d) 13 : 7

9. A mixture of milk and water measures 60 litres. It contains 10% water. How much water should be
added to it, so that the water may be 25%?
nw/k vkSj ikuh ds feJ.k dk ifjek.k 60 yhVj gSA bleas 10% ikuhgSA blesa vkSj fdruk ikuh feyk;k tkuk pkfg, rkfd ikuh 25%
gks tk,A
(a) 18 litres
(b) 14 litres
(c) 16 litres
(d) 12 litres (SSC CGL 2022)
10. In a mixture of 540 liters, the ratio of the juice to water is 5:3. If ‘3X’ liters of
mixture is taken out and replaced with ‘4X’ liters of water, the ratio of the juice to
water becomes 3:5. Find the value of X?

BY Gagan Pratap
540 लीटर के मिश्रण िें रस का पानी से अनप
ु ात 5:3 है। यदि '3X' लीटर मिश्रण को ननकाल कर '4X' लीटर पानी
से बिल दिया जाए, तो रस का पानी से अनप
ु ात 3:5 हो जाता है। x का िान ज्ञात करें ?
A) 60
B) 45
C) 36
D) 20

11. In an examination, a student scores 6 marks for every correct answer and loses
4 marks for every wrong answer. If he attempted 80 questions and obtained 310
marks, how many questions did he attempt correctly?
एि परीक्षा िें, एि छात्र प्रत्येि सिी उत्तर िे ललए 6 अंि प्राप्त िरता िै और प्रत्येि गलत उत्तर िे ललए 4 अंि खो
दे ता िै। यहद उसने 80 प्रश्नों िो किया और 310 अंि प्राप्त किए, तो उसने कितने प्रश्नों िो सिी किया? .
(a) 59 (b) 65
(c) 63 (d) 67
12. A milkman has a container of milk which contains 7 parts milk and 3 parts
water. Before selling it to the customers, he replaced some part of this mixture with
water, so that the mixture becomes half milk and half water. Find the part of mixture
replaced by water in the container?
एक िध
ू वाले के पास िध
ू का एक पात्र है जजसिें 7 भाग िध
ू और 3 भाग पानी है। ग्राहकों को बेचने से पहले उसने इस
मिश्रण के कुछ दहस्से को पानी से बिल दिया, ताकक मिश्रण आधा िध
ू और आधा पानी हो जाए। कंटे नर िें पानी द्वारा
प्रनतस्थापपत मिश्रण का भाग ज्ञात कीजजए?
A) 3/10
B) 2/7
C) 3/5
D) 7/10
13. 8L solution is removed from a 20% milk solution and 8L of water is added to
the solution. The resulting solution has 16% milk in it. What was the initial quantity
of the 20% milk solution?
20% lkaærk okys nwèk ds feJ.k esa ls 8 yh feJ.k fudkydj mlds txg 8 yh ikuh Mky fn;k tkrk gS ;fn ifj.kkeh feJ.k esa
16% nwèk gSA rks izkjfEHkd feJ.k dh ek=k fdruh Fkh\
(a) 40 L (b) 60 L
(c) 48 L (d) 80 L
14. If an item A is sold at 25% profit an item B at a loss of 10% there is overall
profit of 10%. If the 2 items (A & B) are sold at a loss of 20% and 6% respectively
then there is an overall loss of Rs.294. Find the cost price of both items.
;fn ,d oLrq A dks 25% ykHk ij rFkk ,d oLrq B dks 10% gkfu ij cspk tk, rks dqy feykdj 10% ykHk gksrk gSA ;fn
nksuksa oLrqvksa (A, B) dks Øe”k% 20% vkSj 6% gkfu ij cspk tk, rks :-294 dh gkfu gksrh gSA nksuks oLrqvks dk Ø; ewY; Kkr
djsA
(a) 700, 1400 (b) 1400, 700
(c) 900, 1200 (d) 1200, 900
15. A seller sells 3 items of same CP A, B and C at a profit of 15%, 25% and 40%
respectively. Overall profit from A and C is 30%. Overall profit of all the 3 items is

BY Gagan Pratap
28%. If the total number of items sold is 100 then find the individual number of
items sold?
,d O;fDr rhu çdkj dh oLrq, (A, B, C) Øe”k% 15%, 25% vkSj 40% ykHk ij csprk gSA A vkSj C ls dqy 30% dk
ykHk gqvk tcfd rhuks ls dqy feykdj 28% dk ykHk gqvkA ;fn dqy 100 oLrq,a csph x;h rks rhuks oLrqvksa dh vyx vyx csph
x;h la[;k D;k gS\
(a) 20, 36, 44 (b) 28, 40, 32
(c) 36, 24, 40 (d) 24, 40, 36

16. A bus agency has 2415 buses. He sold some buses at 12% profit, some other
buses at 8% loss and rest at 20% profit. Thus, he gains 4% on the sale of first two
types and other second and third types he gains 8%. The number buses sold first
and second type?
,d cl ,tsl a h esa 2415 cls gSA mUgksaus dqN clksa dks 12% ykHk] dqN vU; clksa dks 8% gkfu ij csp fn;kA vkSj “ks’k clksa dks
20% ykHk ij csp fn;kA bl çdkj og igys nks çdkj dh fcØh ij 4% ykHk vkSj nwljs vkSj rhljs çdkj ds clksa dh fcØh ij
8% ykHk gkfly djrk gS rks igys ,oa nwljs çdkj ds csps x, clksa dh la[;k Kkr djsA
(a) 1575 (b) 945
(c) 1470 (d) 1972
17. In a alloy 81% copper and 19% tin. In another alloy 63% copper, 10% tin and
remaining are impurities. Both alloys are mixed such that then % of tin becomes
15%. Find the % of copper in new mixture.
,d feJ èkkrq esa 81% rkack vkSj 19% fVu gSA nwljh feJ èkkrq esa rkack 63% o fVu 10% vkSj “ks’k v”kqf);k gSA nksuks feJ
èkkrqvksa dks bl çdkj ls feyk;k tkrk gS fd u, feJ.k esa fVu dh ek=k 15% gks tkrh gS rks u, feJ.k esa rkacs dk izfr”kr Kkr
djksA
(a) 85% (b) 73%
(c) 82% (d) 72%

18. There are 2 alloys consisting Tin, copper and Antimony. The 1st alloy
contains 30% copper and the 2nd alloy contain 40% tin. The % of antimony in the
1st alloy is thrice that in the 2nd alloy. 300kg of the 1st alloy and 500kg of the 2nd
are melted together. The new alloy contains 35% antimony. How many kg of tin
are there in the new alloy?
हिन, तााँबा और एंिीिनी यक्
ु त दो लिश्र धातु िै ।पिली लिश्रधात ् िें 30% तााँबा और दस
ू री लिश्रधातु िें 40%
हिन िै।पिले लिश्रधात ् िें एंिीिनी िा तीन गन
ु ा िै ।पिले लिश्र धातु िे 300 किग्रा और दस
ू रे िे 500 किग्रा
िो लिला हदया गया िै।नए लिश्रधात ् िें 35% एंिीिनी िो जाती िै तो नए लिश्रधात ् िें कितने किलो हिन िै ।
a)230kg b)270kg c)165kg d)142kg
19. An article of jewellery of 28 gm is made up of gold and silver. The cost of the
article is Rs.8760. If the weight of the two metals are changed with each other, the
cost the article becomes Rs.1560 less. If the cost of silver be Rs.90/gm, find the
cost of gold/gm. Also find the weight of gold and silver in the jewellery.
,d xguk ftldk Hkkj 28 xzke gS] lksuk vkSj pkanh ls cuk gSA xgus dh dher :8760 gSA ;fn mu nks èkkrqvksa dk Hkkj dks ,d nwljs ls
vkil esa cnyk tk, rks u, xgus dk ewY; :-1560 de gks tkrk gSA ;fn pkanh dk ewY; :-90@xzke gS] rks lksus dk izfr xzke ewY; D;k
gksxk vkSj ;g Hkh Kkr djs fd ml xgus esa lksus vkSj pkanh dk out fdruk gSA
(a) Rs.480/ gm, 16 gm, 12 gm
(b) Rs.480/gm, 12gm, 16gm
(c) Rs.570/gm, 16 gm, 12 gm

BY Gagan Pratap
(d) Rs.570/gm, 12 gm, 16 gm
20. An article of jewellery of 35 gm made up of gold and silver and cost of the
article is Rs.13,440. If the weight of gold and silver is interchanged then the cost of
the article becomes Rs.9690. If the cost of gold/gm be Rs.540, find /gm cost of
silver. Also find the weight of each gold and silver in the jewellery.
,d xguk ftldk Hkkj 35 xzke gS og lksuk rFkk pkanh ls feydj cuk gS vkSj mldk ewY; :13440 gSA ;fn lksus ,oe pkanh dk Hkkj
dks vkil esa cny fn;k tk, rks xgus dk ewY; :9660 gks tkrk gSA ;fn lksus dk ew Y; :540@xzke gks] rks pkanh dk ewY; Kkr djs
vkSj ;g Hkh Kkr djs fd ml xgus esa lksuk rFkk pkanh dk Hkkj fdruk gS \
(a) Rs.120, 22 gm, 13 gm
(b) Rs.120, 13 gm, 22 gm
(c) Rs.240, 11 gm, 24 gm
(d) Rs.240, 26 gm, 9gm

21. Sushma bought 15tables and 11 chairs for Rs.10,800. She sold the tables at a
profit of 8% and the chairs at a loss of 10%. If her total gain was Rs.270, then the
total cost of the 4 tables was:
सुषिा ने 10,800 रुपये िें 15िेज और 11 िुलसणयााँ खरीदीं। उसने िेजो िो 8% और िुलसणयों को 10%
की हानन पर बेचा। यहद उसिा िुल लाभ 270 रु था, तो 4 िेजों िी िुल लागत थी:
a) Rs.2,000 b) Rs.1800
c) Rs.2,400 d) Rs.2,500
22. A man buys 7 camels and 6 mules for ₹12,250. He sells the camels at a profit of
17% and mules at a profit of 16%, and his whole gain is ₹2,030. What price did he
pay for a mule?
एि आदिी 7 ऊंि और 6 खच्चर 12,250 रुपये िें खरीदता िै। वि ऊंिों िो 17% िे लाभ पर और खच्चरों
िो 16% िे लाभ पर बेचता िै , और उसिा िुल लाभ ₹2,030 िै । उसने एि खच्चर िी क्या िीित चुिाई?
A) ₹750
B) ₹975
C) ₹1,000
D) ₹875
23. In a class, the average marks of girls in an examination is 75 and that of the boys is 64. The average
score of the whole class is 68.4. What is the percentage of the girls in the class?
,d d{kk esa] ijh{kk esa yM+fd;ksa dk vkSlr çkIrkad 75 vkSj yM+dksa dk vkSlr çkIrkad 64 gSA iwjh d{kk dk vkSlr çkIrkad 68.4 gSA
d{kk esa yM+fd;ksa dk çfr'kr D;k gS\
(a) 50%
(b) 66.6%
(c) 40%
(d) 45%
24. In a class of 80 students (boys and girls) there are 60% girls. the average weight of the boys is 58 kg and
that of the girls is 52 kg. What is the average weight (in kg) of the whole class ?

BY Gagan Pratap
80 fo|kfFkZ;ksa ¼yM+ds vkSj yM+fd;ksa½ okyh ,d d{kk esa 60 % yM+fd;ka gSA yM+dksa dk vkSlr otu 58 kg vkSj yM+fd;ksa dk vkSlr
otu 52 kg gSA iwjh d{kk dk vkSlr otu ¼kg esa½ Kkr djsaA
(a) 56.2
(b) 54.4
(c) 53.6
(d) 55
25. The average score of 84 students (boys and girls) in a test is 95. The ratio of the number of boys so that
of girls is 10 : 11. The average score of the boys is 20% less than that of the girls. What is the average
score of the boys in the test?
fdlh ijh{kk eas] 84 Nk=ksa ¼yM+dksa vkSj yM+fd;ks½a ds vkSlr vad 95 gSaA yM+dksa vkSj yM+fd;ksa dh la[;k dk vuqikr 10 : 11 gSA yM+dksa
ds vkSlr vad] yM+fd;ksa ds vkSlr vad ls 20% de gSaA ijh{kk esa yM+dksa ds vkSlr vad Kkr djsAa
(a) 95
(b) 84
(c) 120
(d) 105
26. The number of students in section A and section B of a class are 40 and 52,
respectively. The average score in mathematics of all the students is 75. If the
average score of the students in A is 20% more than that of students in B, then what
is the average score of students in B?
किसी िक्षा िे अनुभाग A और अनुभाग B िें छात्रों िी संख्या क्रिश: 40 और 52 िै। सभी छात्रों िा गणर्त
िें औसत स्िोर 75 िै। यहद अनुभाग A िे छात्रों िा औसत स्िोर, अनुभाग B िे छात्रों िे औसत स्िोर से
20% अधधि िै, तो अनभु ाग B िे छात्रों िा औसत स्िोर ज्ञात िीजजए।
(a) 65 (b) 63
(c) 71 (d) 69
27. Two-third of the employees of a company are graduates while the rest are non-
𝟓 𝟕
graduates. If of the graduate employees and of the others are temporary and the
𝟗 𝟖
𝟏
total number of permanent employees is 584, then th of the total employees is
𝟗
equal to:
एककंपनीके दो-तिहाईकर्मचारीस्नािकहैंजबतकशेषगैर-स्नािकहैं।यतदस्नािककर्मचाररयोंर्ेंसे 5/9 औरअन्यके 7/8
अस्थायीहैंऔरस्थायीकर्मचाररयोंकीकुलसंख्या 584 है, िोकुलकर्मचाररयोंका 1/9वांबराबरहै:
(a) 164 (b) 384 (c) 192 (d) 328
28. The expenditure of a person is 60% more than his saving. If his saving
increases by 24% but expenditure decreased by 13%. If his income increases by
Rs.1280. Find his total initial expenditure.

BY Gagan Pratap
किसी व्यक्ति िी व्यय उसिे बचत से 60% ज्यादा है।अगर उनिी बचत में 24 % िी वृक्ति होती है
लेकिन व्यय में 13% िमी होती है और उसिी िुल आय में 1280 रु िी वृक्ति होती है।तो उसिी
िुल प्रारं किि व्यय ज्ञात िरे ।
a) 84000 b) 64000
c) 96000 d) 40000
29. The monthly income of Ramesh was Rs.16,500 and his monthly expenditure wasRs.10,500. Next year
his income increased by 25% and his expenditure increased by19%. Find the percentage increase in his
saving.
jes'k dh ekfld vk; Rs. 16,500 Fkh vkSj mldk ekfld [kpZ Rs. 10,500 FkkA vxys o"kZ mldh vk; esa 25% dh o`f) gqbZ vkSj
mlds O;; esa 19% dh o`f) gqbZa mldh cpr esa çfr'kr o`f) Kkr dhft,A
(a) 33.5%
(b)34.5%
(c) 32.5%
(d) 35.5%
30. A saves 35% of his income. His income is increased by 20.1% and expenditure is increased by 25%. By
what percentage does his saving increase or decrease?
A viuh vk; esa ls 35% cpr djrk gSA mldh vk; esa 20.1% dh o`f) gksrh gS vkSj O;; 25% c<+ tkrk gSA mldh cpr eas
çfr'kr o`f) ;k deh dh x.kuk djsAa
(a) 11% increase/o`f)
(b) 9% decrease/deh
(c) 13% increase/o`f)
(d) 14% decrease/deh
31. In what ratio must a person mix three kinds of metal costing Rs.67/kg,
Rs.86/kg and Rs.106/kg so that the resultant alloy when sold at Rs.102.3/kg results
in a gain of 10%?
,d O;fDr rhu izdkj ds /kkrqvksa ftudk ewY; Øe”k% :-67 izfr fdxzk] 86 izfr fdxzk vkSj 106 :- izfr fdxzk gS rks bUgsa fdl vuqikr
esa feykuk pkfg, rkfd feJ.k dks 102-3 :- izfr fdxzk cspus ij 10% dk ykHk gksA
(a) 2 : 14 : 7 (b) 1 : 11 : 6
(c) 3 : 16 : 5 (d) 1 : 13 : 9
32. A person lends some amount of 8400 to the rate of 12% and at some rate of
21% if the interest earned in the last 3 years is Rs3906 then how much money did
he get at the rate of 21% as intersest?
एक व्यजतत 8400 रु कज रामि िे से कुछ 12% की िर पर और कुछ रामि 21% की िर पर उधार िे ता है
यदि कुल तीन वर्ष िें व्याज 3906 रु मिला हो तो 21% की िर से उन्हें ककतना धन व्याज के रूप िें मिला?
a) 2712 b) 1848
c) 936 d) 2058

BY Gagan Pratap
33. The ratio of boys to girls in 3 classes A, B & C are 2:3, 5:6 & 8:5 respectively.
The ratio of boys to girls when class A & B are taken together is 7:9 and when B & C
are taken together is 3:2, which of the following could be the total number of students
in the 3 classes?
3 कक्षा A, B और C िें लड़कों का लड़ककयों से अनप
ु ात क्रििः 2:3, 5:6 और 8:5 है। जब कक्षा A और B को एक
साथ मलया जाता है तो लड़कों का लड़ककयों से अनप
ु ात 7:9 होता है और जब B और C को एक साथ मलया जाता है तो
3:2 होता है, ननम्नमलखित िें से 3 कक्षाओं िें छात्रों की कुल संख्या तया हो सकती है ?
A) 340
B) 360
C) 480
D) 400

BY Gagan Pratap

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