# Quant Quiz ::Percentage Model Questions For SSC CGL CHSL CPO And Railway Ntpc Exams

**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. The marks obtained by them are

A) 36, 46

B) 42, 33

C) 24, 64

D) None of these

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

A) 600 Apples

B) 700 Apples

C) 500 Apples

D) None of these

**3.**What percentage of numbers from 1 to 70 has 1 or 9 in the unit's digit?

A) 20

B) 22

C) 21

D) None of these

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

A) A is smaller than B.

B) A is greater than B

C) Relationship between A and B cannot be determined.

D) None of these

**5.**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?

A) 50

B) 100

C) 80

D) 72

**6.**A student multiplied a number by 3/5 instead of 5/3. What is the percentage error in the calculation?

A) 34%

B) 44%

C) 54%

D) 64%

**7.**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, the number of valid votes that the other candidate got, was:

A) 3000

B) 2700

C) 2900

D) 3500

**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) 60%

C) 65%

D) 90%

**9.**Helen went to the stationers and bought things worth Euro 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) Euro 15

B) Euro 15.7

C) Euro 19.7

D) Euro 20

**10.**The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is:

A) 4.37%

B) 5%

C) 6%

D) 8.75%

**Answer With Explanation**

**1.**B)

**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.

**2.**B)

**Explanation**: Suppose originally he had x apples.

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

60/100 x x = 420

x = (420 x 100)/60 = 700

**3.**A)

**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%.

**4.**D)

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

A = B.

**5.**B)

**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.

**6.**D)

**7.**

**B)**

**Explanation**: Number of valid votes = 80% of 7500 = 6000.

Valid votes polled by other candidate = 45% of 6000

= (45/100 x 6000) = 2700.

**8.**

**A)**

**Explanation**: Total number of votes polled = (1136 + 7636 + 11628) = 20400.

Required percentage = (11628/20400 x 100)% = 57%.

**9.**C)

**Explanation**: Let the amount taxable purchases be Euro x.

Then, 6% of x = 30/100

x = (30/100 x 100/6) = 5.

Cost of tax free items = Euro [25 - (5 + 0.30)] = Euro
19.70

**10.**B)

**Explanation**: Increase in 10 years = (262500 - 175000) = 87500.

Increase% = (87500/175000 x 100)% = 50%.

Required average = (50/10)% = 5%.

Quant Quiz ::Percentage Model Questions For SSC CGL CHSL CPO And Railway Ntpc Exams
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