# Percentage Questions and Answers

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**The below questions are meant to test your knowledge of percentages. Percentages are fractions of 100 so for example 40 out of 100 is 40/100=0.4 which again is 40%. **

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. The marks obtained by them are:

### Answer & Explanation:

Answer: Option C

Explanation: Let their marks be (x + 9) and x.

Then, x + 9 = 56/100(x + 9 + x)

25(x + 9) = 14(2x + 9)

3x = 99

x = 33

So, their marks are 42 and 33.

A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:

### Answer & Explanation:

Answer: Option D

Explanation: Suppose originally he had x apples.

Then, (100 - 40)% of x = 420.

60/100 x x = 420

x = (420 x 100)/60 = 700.

What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?

### Answer & Explanation:

Answer: Option C

Explanation: Clearly, the numbers which have 1 or 9 in the unit's digit, have squares that end in the digit 1.

Such numbers from 1 to 70 are 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69.

Number of such number =14

Required percentage = (14/70 x 100)% = 20%.

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

### Answer & Explanation:

Answer: Option E

Explanation: x% of y = (x/100 x y) = (y/100 x x) = y% of x

A = B.

In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years of age which is 48. What is the total number of students in the school?

### Answer & Explanation:

Answer: Option E

Explanation: Let the number of students be x.

Then, Number of students above 8 years of age = (100 - 20)% of x = 80% of x.

80% of x = 48 + 2/3 of 48

80/100x = 80

x = 100.