Polity
Polity
34) An alloy of gold and zinc weight of 80 grams. It       gets 32 marks more than the pass marks. The
contains 70% gold. How much gold should be added           necessary percentage required for passing is:
to the alloy so that percentage of gold is increased to
90%?                                                       a) 38.05%
a) 12 grams b) 39.5%
c) 15 grams d) 33.33%
                                                           c) 16.75%
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                           Percentage Questions for SSC Exams
42) One type of liquid contains 26.66% water and the    a) Rs. 6,500/-
second type of liquid contains 25% of water. A glass    b) Rs. 7,500/-
is filled with 15 parts of the first liquid and eight
parts of the second liquid. The water in the new        c) R.s 8,000/-
mixture in the glass is -
                                                        d) Rs 6,000/-
a) 600/23%
                                                        46) 30 Kilograms of fresh watermelon contains 80%
b) 300/23%                                              water. After some time water remains 60% in the
                                                        fruit. Find the present weight of watermelons?
c) 150/17%
                                                        a) 15Kg
d) 390/17%
                                                        b) 18Kg
43) How much pure alcohol has to be added to 600
litres of a solution containing 50/3% of alcohol to     c) 20Kg
change the concentration of alcohol in the mixture to
36%?                                                    d) 13.5Kg
a) 183.26 litres
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                             Percentage Questions for SSC Exams
47) The cost of the table is 47.1/17% more than the      49) 20% of the soldiers of an army camp are killed in
cost of the chair. The cost of 15 chairs is how much %   the battle. 35% of the remaining soldiers died of
more or less than the cost of 12 tables.                 corona and 50/3% of the remaining soldiers were
                                                         disabled. Now only 1757600 soldiers were left in the
a) 12.5% More                                            army camp. How many totally soldiers were there at
b) 14.75% less                                           the beginning?
Answers
1) Answer: C 2) Answer: C
The ratio of Children : Female = 8 : 9 and we also know      Or, 360 Units = Rupees 36000
that 20% = +1/5,
                                                             Or, 1 unit = 100 Rupees
And Male : Female = 5 : 6,
                                                             So, 600 units = Rupees 60000/-
Now, we can find the ratio of M: F: C by the below table,
                                                             And 700 units = Rupess 70000/-
M                   F                    C
5                   9                    8                   Hence correct option is B.
                    6
                                                             5) Answer: B
5×9; 15             9×6;18               6×8;16
                                                             Let total amount = x,
So, M : F : C = 15 : 18 : 16,                                According to the question,
Again, By the help of the 2nd table for initial and final    As we know that sum of A.P n terms = n/2(a= first term
required value,                                              + l = last term)
          M            F            C             Total      So, 1+2+3+4……….+20= (20/2)×21=210
Initial ; 15           18           16            49
Male = 5 15            18×(22       +7            49×(28     (Sum of A.P of 20 terms where a = 1and l = 20)
Units =                2/9)                       4/7)
15                                                           As per question,
Final;    18           22           23            63
And 6 =                                                      x = 3x/4 + 210 + 190
18
Now,                                                         Or, x/4 = 400
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                                  Percentage Questions for SSC Exams
So, Looser got 90x – 68 – 47x = (43x – 68) votes, a% = b(Final) / a(Initial),
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                              Percentage Questions for SSC Exams
According to the question, we have drawn a table with    According to the question,
given information,
                                                         Ratio of Income : Expenditure: Savings = 15,300 :
                    Initial              Final           10,200 : 5,100= 3 : 2 : 1,
2
r = 50% = +1/2      2                    3
                    2                    3               Income = Expenditure + Savings,
h = 40% = -2/5      5                    3
                                                         As per derived and given data as well as information,
                    2×2×5 = 20           3×3×3 = 27
                                                         here we can go through below table,
So, Ratio between initial and final = 20 : 27,           Income             Expenditure          Savings
                                                         = 3 + 15 % of 3    = 2+ 10% of 2        =1
Change in volume of cylinder = 27 - 20 = 7               = 3.45 %           = 2.20%              =    3.45%    -
                                                                                                 2.20% = 1.25%
Now, Required % = (change in volume / Initial
volume)×100 = (7/20)×100 % = 35%
                                                         According to the above table, we savings become as 1.25
Hence, the correct option is D.                          %,
10) Answer: A                                            Since, Initial savings us 1% Unit, Final savings = 1.25%
As we know that volume of the cuboid is directly         So, 25 % increased in the previous savings.
proportional to its length, breadth and height.
                                                         Hence, the correct option is D.
The volume of cuboid = l × b × h,
                                                         12) Answer: D
                 Initial                   Final
Length = 12.5% 8                           7=8–1         As we now know that
= -1/8
Breadth       = 9                          8=9–1         10% = -1/10 (10% deduction on House Rent), Initial =
100/9% = -1/9                                            10 and Final = 9
Height = 10% = - 10                        9 = 10 – 1
1/10                                                     15% = -3/20 (15% spends on children education), Initial
Volume = l×b×h 8×9×10, 10                  7×8 × 9,7     = 20 and Final = 17
Decrease in volume. = 10-7 = 3,                          Ratio of initial and final = 10×20×10 : 9×17×9 = 2000 :
                                                         1377
So, Required % = (3/10)×100 = 30% decrease.
                                                         Or, 2000×3 : 1377 × 3
Hence, the correct option is A.
                                                         Income = Rupees 6000 and savings = Rs.4131.
11) Answer: D
                                                         Hence, correct option is D.
As we know that Income = Expenditure + Savings,
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                                       Percentage Questions for SSC Exams
13) Answer: A                                           Q                  x                   Y
                                                        E = 5% = +1/20     20                  21
According to the question,
135(100+𝑥)          405(100−𝑥)
                =                                       So, x/y = 20×10 = 200/ 21×9 = 189
    100                100
           𝑥
180 × 100×2 = 45                                        A×223% = 2007%× B
Here, we can draw a table with given information in     Hence, the correct option is C
question,
                                                        18) Answer: A
                             Initial        Final       As we know that Income = Expenditure + Savings,
P                            45⇒ 9          50⇒10
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                                 Percentage Questions for SSC Exams
So, 20 units = Rupees 10,000                                The population of a city decreases by 100/17%, 100
                                                            /13% and 100/23% respectively in three years.
Hence, Correct option is A.
                                                            And the population of the city decreases by 3680 during
19) Answer: C                                               2nd year.
As we know that,
37.5% = 3/8
                                                            I                   II                 III
So, Sonu :Monu = 5 : 8                                      100/17% = -1/17     100/13% = -1/13    100/23% = -1/23
                                                            17:16               13 :12             23 : 22
According to the question,                                  17×2990 =           13×3680 =47840     23 Units = 44160
                                                            50830,              12×3680 =
So, required % = (3/5)×100 = 60%                            16×2990 =           44160
                                                            47840
Hence, correct option is C.
So, required % = (66.66/166.66) × 100 = 39.99% Loss in population 50830 - 42240 = 8590.
As we know that 20% = -1/5 (reduced price),                 According to the given data and information we can
                                                            draw a table and go through it,
Price ratio is 5 (old) :4(new)
                                                            Spends 100/19% on = -1/19 = 18(Final )/19 (Initial) on
Now, the quantity ratio is 4 : 5, Difference = 5 – 4 = 1
                                                            food,
Unit,
                                                            And 100/9% of remaining part = -1/9 = 8(Final)/9
According to the question,
                                                            (Initial) on medicine,
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                               Percentage Questions for SSC Exams
And 25/3% of remaining part = -1/12 =                     The initial price is Rupees 210/-
11(Final)/12(Initial) on travelling,
                                                          Now,
And donate Rupees 400/- and savings = Rupees 5500
                                                          The ratio of the initial and final price = 210 : 280 = 3 : 4
Food= 19 : 18      Medicine = 9 : 8    Travel = 12 : 11
19×400 = 7600      9×800 = 7200        12×500 = 6000      The ratio of the initial and final visitors = 6 : 5
18×400 = 7200      8×800 = 6400        11×500 = 5500
                                                          The ratio of the initial and final revenue= 3 × 6 : 4 × 5
Now, according to the above table, Difference between
expenditure of Travelling and Food = 500 - 400 =          = 9 : 10
Rupees 100.
                                                          Revenue increase 1 unit = Rupees 5000/- ( Given)
Hence, the correct option is A.
                                                          So, the initial revenue of the theatre
24) Answer: B
                                                          = 9 units = 9×5000 = Rupees 45000/-
Let the original price be y.
                                                          Hence, the correct option is A.
y×(100 + x)×(100 – x)/100×100 = A/100
                                                          27) Answer: A
Or, y×(100 – x )/100×100 = A/100
               2
India can complete the = (20 – 12) = 8 over before.    Female = 200, out of 200 60% are Government
                                                       Employees = 200×60% = 120
Hence, the correct option is A.
                                                       Out of 200 40%= 80; Out of 80, 60% are private
28) Answer: C                                          employees=80×60%= 48
Let he sold total slot = x                             And 40% are unemployed = 80×40% = 32
According to the question,                             So, Unemployed
1500 + (1500×20/100 + 20000×20/100)x = 23000           Or, 125 Units – 32 Units = 6,510
Or, 1500 + (300 + 4000)x = 23000                       Or, 93 Units = 6,510
Or, 4300x = 21500                                      1 Unit = 70
Or, x= 5                                               So, 195 Units = 195×70 = Rupees 13650
He sold total slot 5 of 20000                          Hence, the correct option is B.
5×20000= 100000                                        30) Answer: C
And he sold first slot 20000                           According to the given data in the question, draw a table
Then he total sold = 100000 + 20000 = 120000           as of the following,
Let Male = 300 and Female = 200                        Note: 11.76% = 2/17;     17×5×18×15 = 15×4×17×8 =
                                                       Expenditure=2;           45           16
Out of 300 there are 25% are government employee =     Savings= 15; Salary =
300×25%= 75                                            17 and so on.
Remaining = 300 – 75 = 225
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                             Percentage Questions for SSC Exams
So, 45 Units = 315,00, Therefore 11units = Rupees 7700 Let his score in the last exam is x,
Subtract = 1 – 13/40 = 27/40 = 0.675                      More than 87 marks have to by Amit to meet the desired
                                                          percentage of marks in all the five exams to be 70%.
Difference in answer= 0.675 - 0.075 = 0.600
                                                          Hence, The correct option is A.
Percentage error = 0.600×100/0.675 = 88.88%
                                                          34) Answer: D
Hence, the correct option is C
                                                          According to the question,
32) Answer: B
                                                          In initial alloy,
Let total 5x match is played between England and India.
                                                          Gold = 70%of 80= 56 grams and
According to the question,
                                                          Zinc = 80-56= 24 grams,
Match won by England= 80% of 5x = 4x
                                                          Let x gram of gold is added to the alloy,
And, Match won by India= 20%of 5x = x
                                                          56+x/80= 90/100,
But, now India won 90 matches in a row and hence
India's success rate of percentage increased to 60%.      Or, 560 + 10x = 720+9x,
So, total match = 5x+90= 5×18+90= 180. Math = 52% - 15% = 37%
So, the percentage of candidates who passed in both    Let the maximum marks be x
subjects = 100% - 67%= 33%
                                                       According to the question,
Let the total students be 100% then 33% = 198
                                                       33.45%of x + 23 = 44.45% of x – 32
So, 100%= 198×100/33= 600
                                                       Or, 44.45% - 33.45% = 32 + 23
Hence, the correct option is C.
                                                       Or, 11% of x = 55
36) Answer: A
                                                       Or, x = 55×100/11 = 500
We can go through the venn diagram required below by
the help of given data in question.                    So, passing marks = (33.45×500/100) + 23 = 190.25
38) Answer: C
                                                       Female = 200
Both Pass : Both fail = y : 3y
                                                       By the below venn diagram,
As per the question,
3y = 2/5×15x
Or, y = 2x
Or, x = 210/21 = 10
Male like both drinks = 10 and Female only like both     n×n = -1/6            36                 25
drink = 40
                                                         T= +1/8               8                  9
Number of only hard drink = 60 and Number like only
soft drink = 100                                         V=-1/12( V is         11                 12
                                                         inversely
20% female like soft drink and hard drink =              proportional to
200×20/100= 40                                           pressure)
Female like only soft and only hard drink =                                    88                 75
100×50/100= 50
Difference between male and female who likes only hard   Hence, the correct option is B.
drink = 60Units - 50Units
                                                         40) Answer: C
By the rule of product constant rule,
                                                         Let, total children = 100x
10 Units×30= 300 Units, So, 100×30 = 3000.
                                                         Out of these 15% twins = 15×2= 30
Hence, The correct option is C.
                                                         And 85×1 = 85
39) Answer: B
                                                         Total born = 85 + 30 = 115,
According to the question,
                                                         Approximate percentage of the twins out of total children
P = pressure n = number of molecules
                                                         = 30×100/115 = 26.08%
T= temperature, V =Volume
                                                         Hence, the correct option is C.
P directly proportional to n × n × T × 1/v
                                                         41) Answer: A
N = Decreases by = 50/3% =- 1/6
                                                         According to the question,
T = Increases by = 12.5% = +1/8
                                                         Time= 3 years and Rate = 50/3%
V = Decrease by = 8.33%= -1/12
                                                         Now,
Now,
                                                         50/3%= -1/6 (Because the case of depreciation)
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                                  Percentage Questions for SSC Exams
Initial = 6×6×6 = 216 and Final = 5×5×5 = 125 According to the question,
216 Units = 108000 Mass of metal in lead ore = 12000×80% = 9600 Kg.
Therefore, 125 Units= 500×125 = 62,500. Mass of lead in ore = 9600 - 80 = 9,520 Kg.
As per the given data in question, Let, Income of B is 100x then the income of A is 60x.
Water = 15×26.66% = 15×4/15 = 4 litres                 And the expenditure of B is 100y then the expenditure of
                                                       A is 75y.
Note: 26.66% = 4/15
                                                       The ratio of expenditure of A and B = 3y : 4y,
In 8 litres of the second type of liquid,
                                                       According to the question,
Water = 8×25/100 = 2 litres
                                                       3x = 4y×80% = 4y×4/5,x : y = 16/15.
The total amount of water = 4 + 2 = 6 litres
                                                       As we know that, Savings = Income - Expenditure,
Required % = 6×100/23 = 600/23 %
                                                       The income of A and B = 3x : 5x;
Hence, the correct option is A.
                                                       A = 3×16 = 48 and B = 5×16 = 80,
43) Answer: C
                                                       And the expenditure of A and B = 3y : 4y;
According to the question,
                                                       A = 3×15 = 45 and B = 4×15 = 60,
Alcohol = 600×50/100×3 = 100 litres
                                                       Now,
Let, X litre of alcohol should be added,
                                                       Savings of A = 48-45 = 3 Units &
Then, (100 + X)/(600 + X) = 36/100 = 9/25
                                                       Savings of B = 80-60 = 20 Units,
Or, 2500 + 25X = 5400 + 9X
                                                       The difference in savings of A and B
Or, 16X = 2900
                                                       = 20 Units - 3 Units = 17 Units,
Or, X= 2900/16 = 181.25
                                                       17 Units = Rupees 5,100 /- 1 Unit = Rupees 3,00/-
Hence, the correct option is C.
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                             Percentage Questions for SSC Exams
According to the given data in the question, we go            Number of successful students in the first year,
through the below table,
                                                              = 5x ×70/10 = 3.5x,
                    Pulp                Water
                                                              Number of successful students in the 2nd year,
Fresh Fruit         20% = 1×2           80% = 2×4
                                                              = 7x × 85.5/100 = 5.985x,
Dry Fruit           40% = 2×1           60% = 3×1
                                                              Number of successful students in the 3rd year,
                                                              9x×96.5/100 = 8.685x,
Because Pulp is constant in both the condition, New
                                                               The total number of students who were successful
Ratio,
                                                              during these three years taken together = 18.17x,
                    Pulp                Water
                                                              Required % = (18.17x)×100/21x = 86.52%.
Fresh Fruit         2                   8
                                                              Hence, the correct option is B.
Dry Fruit           2                   3
                                                              49) Answer: C
Hence, the correct option is C. Now, tax on 1 unit = 33.33% = 1/3 less,
Let the original consumption be 1 Unit, tax on it be 1   Tax on 7/6 Unit = (7/6)×(2/3) = 7/9 = 0.7777
Rupee,
                                                         Decreased Revenue = 1.00-0.77 = 0.3333
So, Revenue = 1×1 = 1 Rupees,
                                                         Required % = (3333/1×10000)×100 = 33.33 %
Note; 50/3% = 50/300.
                                                         Hence, the correct option is B.
New consumption = (300+50/300)×1 Rupes = 350/300
= 7/6 Unit,
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