Percentage Questions With Explanation

1. Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. What are the marks obtained by them?

A. 42, 33

B. 42, 36

C. 44, 33

D. 44, 36

2. If A = x% of y and B = y% of x, then which of the following is true?

A. None of these

B. A is smaller than B.

C. Relationship between A and B cannot be determined.

D. If x is smaller than y, then A is greater than B.

E. A is greater than B.

3. If 20% of a = b, then b% of 20 is the same as:

A. None of these

B. 10% of a

C. 4% of a

D. 20% of a

4. Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.

A. 2 : 1

B. 1 : 2

C. 1 : 1

D. 4 : 3

5. Two employees X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?

A. Rs. 150

B. Rs. 300

C. Rs. 250

D. Rs. 200

6. Rahul went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?

A. Rs. 15

B. Rs. 12.10

C. Rs. 19.70

D. Rs. 16.80

7. The population of a town increased from 1,75,000 to 2,62,500 in a decade. What is the average percent increase of population per year?

A. 4%

B. 6%

C. 5%

D. 50%

8. Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?

A. 57%

B. 50%

C. 52%

D. 60%

9. A fruit seller had some oranges. He sells 40% oranges and still has 420 oranges. How many oranges he had originally?

A. 420

B. 700

C. 220

D. 400

10. In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, what was the number of valid votes that the other candidate got?

A. 2800

B. 2700

C. 2100

D. 2500