CAT QA Preparation 2022: Check Percentage Questions and Solutions

1.A is x% more than B. B is (x - 10)% less than C. If A > C, what is the range of values x can take?

10% to 28%
10% to 25%
10% to 37%
10% to 43%

2.An alloy of Aluminium and copper has 40% copper. An alloy of Zinc and copper has Copper and Zinc in the ratio 2: 7. The two alloys are mixed such that aluminium is more than zinc, and copper constitutes x% of this alloy. Range of values x can take is?

30% ≤ x ≤ 40%
32.5% ≤ x ≤ 42%
33.33% ≤ x ≤ 40%
32.25% ≤ x ≤ 40%

3. X earns 25% more than Y. Z earns 25% more than X. X earns 20% more than D. E earns 20% more than X. X, Y, Z, D, and E earn integer amounts less than Rs. 100. The total amount earned by all five of them put together is?

Rs. 300
Rs. 245
Rs. 305
Rs. 480

4. M is x% more than N and is x% of the sum of M and N. Find the value of x?

50%
62%
75%
37%

5. A, B, C, and D looted a place and shared the loot. A gets a% of the total while B gets b% of the remaining (after A has taken his share)and C gets c% of the remaining and D gets the rest. D gets a% less than what A gets. B and C get equal amounts. Also, b = 2a. What percentage of A did C get?

160%
80%
175%
50%

6. In the above-mentioned question, If the total amount is equal to Rs. 1000, what is the difference between what A got and what D got?

A got Rs.40 more than D
A got Rs.20 more than D
A got Rs.50 more than D
A got Rs.35 more than D

7. A is x% less than B while A is y% less than C. And C is k% more than B. We can express k in terms of x and y as?

(y−x)100 /100−y
(y+x)100/100−y
(y−x)100/100−x
(y−x)100/100+y

8. If in a class 50% of the boys were girls, then there would be 50% more girls than boys. What percentage of girls are there in the overall class?

25%
33.33%
40%
20%

 9. Class A has 50% fewer students than class B. The number of girls in class A is equal to that of boys in class B. The percentage of girls is the same in both class A and B. What percentage of the overall student group are boys?

33.33%
40%
25%
60%

10. A two-digit number ab is formed such that ab is 60% of x. The two-digit number formed by reversing ab is 60% more than x. Find x.

45
54
63
72

11. C is z % of D, D is z% more than C. Find z

50%
62%
75%
37%

12. A is x % more than B while B is y % less than C. Assume that A, B, and C are positive and A is greater than C, find the relation between x and y.

y (1 - x) < x
y (1 - x) > x
y (1 + x) < x
y (1 + x) > x

13.Recently a band was to perform in India. But there was lack of sales of tickets due to high cost, therefore the organizers gave discounts:

The original price of the tickets was Rs 25,000/ticket. Any additional tickets, above the lot sizes, were billed at the original price. A college group wants to buy 13 tickets. The minimum average ticket price they would need to pay (approx.) is?

23,375
23,367
23,380
23,400

14. 2400 people were to vote for Party A or Party B in a local election. Party A was bound to win these elections. However, on Election Day, 33% of the voters of Party A were kidnapped and Party B was also able to influence the remaining Party A voters and thus double the strength of its voters. Thus, Party A lost by a majority which was half of that by which it would have won had the elections been fair. How many people finally voted for Party A and Party B respectively?

600(A), 1200(B)
300(A), 600(B)
450(A), 900(B)
600(A), 900(B)

15. A solid steel cube is melted and remoulded such that its length, breadth, and height change as +10%, +10%, -20%. What is the total percentage change in the surface area of this cube?

No Change
+1%
+2%
-1%

16. In an examination, 35% of students failed in quants while 42% of students failed in verbal and 14% failed in both the topics. If a total of 222 students passed in both the topics, how many students appeared to write the examination?

500
600
700
800

17. A report consists of 20 sheets each of which has 55 lines. Each line consists of 65 characters. This report is reduced onto new sheets each consisting of 65 lines such that each line consists of 70 characters. The percentage reduction in the number of sheets is approximately how much?

20%
5%
30%
35%

18. The number of votes not cast for the PNC Party increased by 25% in the National General Election over the previous Assembly Polls, and the PNC Party lost by a majority, twice as large as that by which it had won the Assembly Polls. 2,60,000 people voted each year, find out how many voted for the PNC Party in the previous Assembly Polls?

1,10,000
1,50,000
1,40,000
1,20,000

19. 2/5th of the voters promised to vote for A and the rest promised to vote for B. A day before elections, 15% of the voters went back on their promise to vote for A and 25% of voters went back on their promise to vote for B, and A lost by 200 votes. The total number of voters is:

10000
11000
9000
9500

20. A person with a certain amount goes to the market. He can either buy 50 oranges or 40 mangoes. He saves 10% of the amount for taxi fares and buys 20 mangoes and of the balance, he purchases oranges. The number of oranges he can purchase is:

36
40
15
20

21. 40% of the employees of a certain company are men and 75% of the men earn more than Rs. 25,000 per year. Note that 45% of the company’s employees earn more than Rs. 25,000 per year. What fraction of the women working in the company earn Rs. 25,000 per year or less?

2/11
1/3
1/4
3/4

22. A bucket consists of ‘a’ number of small and large balls out of which b% are black. Of the small balls, c% are black while d% of large balls are black. The number of small balls in the bucket are?

a * (b−d)/c+b−d
a * (b−d)/c+b−2d
a * (c-b)/b−d
a * (b−d)/c−d

23.Tensile strength of a material A is a multiple of the amount of materials m,n,o,p used. If the amount of material of m,n,o,p are changed by +30%, -30%, -25%, +25% respectively, what will be the overall change in tensile strength of A?

No Change
+14.68%
–14.68%
Depends on the initial amount of m,n,o,p.

24.In a practice paper, questions were given from 5 topics. 10% passed in all topics whereas 10% did not pass in any. Of the remaining students, 20% passed in one topic only and 25% in two topics only. If 24% of the total students passed 4 topics only and 500 students passed in 3 topics only, the total number of students who appeared in the examination were?

2500
2000
1600
4545

25. In an ice-cream factory, 30% of total Vanilla-flavored ice cream produced is mixed with 40% of total chocolate-flavored ice cream produced, in a ratio of 1:1. Find out the overall percentage of ice-cream produced which is mixed with each other. Assume that Ice-creams of only these 2 flavors are produced in the factory.

17.14%
34.28%
35%
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