CAT DILR Percentages: Solved Sample Questions

In the below section, some solved sample questions of the previous year are mentioned. 

1. Ques. If P is x% more than Q and Q is (x - 10)% less than R then what is the value range of x If P > R,?

1. 10% to 28%
2. 10% to 25%
3. 10% to 37%
4. 10% to 43%

Correct Answer: 3

2. Ques. There is 40% copper in an alloy of copper and aluminium. And there are ratios of copper and zinc i.e 2:7 in an alloy of Copper and Zinc. Both the alloys are mixed in a way that specifies the overall alloy. Also, there is more aluminium than Zinc. Copper includes x% of this alloy. What is the actual range of x values that can be taken?

1. 30% ≤ x ≤ 40%
2. 32.5% ≤ x ≤ 42%
3. 33.33% ≤ x ≤ 40%
4. 32.25% ≤ x ≤ 40%

Correct Answer: 4

3. Ques. Earning of A is 25% more than the earning of B whereas earning of C is 25% more than A. However, earning of A is 20% more than the earning of D. And earning of E is 20% more than A. On the other side, together A, B, C, D, and E earns integer amounts that are less than Rs. 100. What is the amount in total earned by all five of them?

1. INR 300
2. INR 245
3. INR 305
4. INR.480

Correct Answer: 3

4. Ques. When A is x% more than B and on the other side, that is x% of the sum of A and B. What is the exact value of x?

1. 50%
2. 62%
3. 75%
4. 37%

Correct Answer: 2

5. Ques. A, B, C and D share a loot where A gets a% of the total. And, B gets b% of the remaining (after the share taken by A). C gets c% of the remaining whereas D gets the rest of it. D gets a% less than what A actual receive. Both B and C get equal amounts. b = 2a.

1. What percentage of A got C?
2. When the overall amount is equal to INR 1000, what is the actual difference between the amount A receives and the same for D?

1. 160% , A got Rs.40 more than D
2. 80% , A got Rs.20 more than D
3. 175% , A got Rs.50 more than D
4. 150% , A got Rs.35 more than D

Correct Answer: 1

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6. Ques. Where A is x% less than B and A is y% less than C. And C is k% more than B. What is the value of k in terms of both x and y.

1. (y−x)100100−y
2. (y+x)100100−y
3. (y−x)100100−x
4. (y−x)100100+y

Correct Answer: 1

7. Ques. In a class, if it assumes that there are 50% of the boys were girls, then in that class 50% more girls will present than boys. What is the total percentage of girls in the class?

1. 25%
2. 33.33%
3. 40%
4. 20%

Correct Answer: 4

8. Ques. There are 50% more students in class B than in class A. The number of girls in class A is similar to the number of boys in class B. And the percentage of girls is similar in both the class. What is the percentage of boys who are three in the student group? 

1. 33.33%
2. 40%
3. 25%
4. 60%

Correct Answer: 2

9. Ques. Both traders A and B buy two goods for INR 1000 and INR 2000 respectively. The goods of trader A is x%, on the other hand, the goods of trader B is 2x%. They offer a discount of x%. What is the percentage for x If both the trader make the same non-zero profit?

1. 25%
2. 12.5%
3. 37.5%
4. 40%

Correct Answer: 1

10. Ques. a is x % of b, b is x% more than a. What is the value of x?

1. 50%

2. 62%

3. 75%
4. 37%

Correct Answer: 2

11. Ques. A two-digit number ab is 60% of x. It is formed by alternating the digits of ab that is 60% more than x. What is the value of X?

1. 45
2. 54
3. 63
4. 72

Correct Answer: 1

12. Ques. Total 80 articles are bought by a merchant and each article costs INR 40. He sells n of them at n% profit. The remaining percentage at a profit of (100 – n)%. How much profit could have been made by the merchant?

1. INR 2160
2. INR 1420
3. INR 1580
4. INR 2210

Correct Answer: 3

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