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Percentage

 
1
 

A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
A. 45%
B.
45 5 %
11
C.
54 6 %
11
D. 55%
   
 

A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
A. 45%
B.
45 5 %
11
C.
54 6 %
11
D. 55%
 
2
 

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. 39, 30
B. 41, 32
C. 42, 33
D. 43, 34

Answer: Option C

Explanation:

Let their marks be (x + 9) and x.

 

Then, x + 9 = 56 (x + 9 + x)
100

 

 25(x + 9) = 14(2x + 9)

 3x = 99

 x = 33

So, their marks are 42 and 33.

 
3
 

A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:
A. 588 apples
B. 600 apples
C. 672 apples
D. 700 apples

Answer: Option D

Explanation:

Suppose originally he had x apples.

Then, (100 - 40)% of x = 420.

 

60 x x = 420
100

 

 

 x = 420 x 100   = 700.
60

 

 
4
 

What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
A. 1
B. 14
C. 20
D. 21

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 x 100 % = 20%.
70

 

 
5
 

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. If x is smaller than y, then A is greater than B.
E. None of these

Answer: Option E

Explanation:

 

x% of y = x x y = y x x = y% of x
100 100

 

 A = B.

 
6
 

If 20% of a = b, then b% of 20 is the same as:
A. 4% of a
B. 5% of a
C. 20% of a
D. None of these

Answer: Option A

Explanation:

 

20% of a = b       20 a = b.
100

 

 

 b% of 20 = b x 20 = 20 a x 1 x 20 = 4 a = 4% of a.
100 100 100 100

 

 

 
7
 

 

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

 
A. 72
B. 80
C. 120
D. 150
E. 100

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 of 48
3

 

 

80 x = 80
100

 

 x = 100.

 
8
 

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 : 3
B. 1 : 1
C. 3 : 4
D. 4 : 3

Answer: Option D

Explanation:

 

5% of A + 4% of B = 2  (6% of A + 8% of B)
3

 

 

5  A + 4  B = 2 6  A + 8  B
100 100 3 100 100

 

 

1  A + 1  B = 1  A + 4  B
20 25 25 75

 

 

1 - 1  A =  4 - 1  B
20 25 75 25

 

 

1  A = 1  B
100 75

 

 

A = 100 = 4 .
B 75 3

 

 Required ratio = 4 : 3

 
9
 

 

A student multiplied a number by 3 instead of 5 .
5 3

 

What is the percentage error in the calculation?

 
A. 34%
B. 44%
C. 54%
D. 64%

Answer: Option D

Explanation:

Let the number be x.

 

Then, error = 5 x - 3 x = 16 x.
3 5 15

 

 

Error% = 16x x 3 x 100 % = 64%.
15 5x

 

 
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, the number of valid votes that the other candidate got, was:
A. 2700
B. 2900
C. 3000
D. 3100

Answer: Option A

Explanation:

Number of valid votes = 80% of 7500 = 6000.

 Valid votes polled by other candidate = 45% of 6000

 

= 45 x 6000 = 2700.
100

 

 
11
 

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%

Answer: Option A

Explanation:

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

 

 Required percentage = 11628 x 100 % = 57%.
20400

 

 
12
 

Two tailors 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. 200
B. Rs. 250
C. Rs. 300
D. None of these

Answer: Option B

Explanation:

Let the sum paid to Y per week be Rs. z.

Then, z + 120% of z = 550.

 

 z + 120 z = 550
100

 

 

11 z = 550
5

 

 

 z = 550 x 5   = 250.
11

 

 
13
 

Gauri went to the stationers 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. 15.70
C. Rs. 19.70
D. Rs. 20

 Answer: Option C

Explanation:

Let the amount taxable purchases be Rs. x.

 

Then, 6% of x = 30
100

 

 

 x = 30 x 100  = 5.
100 6

 

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

 
14
 

Rajeev buys good worth Rs. 6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @ 10%. Find the amount he will have to pay for the goods.
A. Rs. 6876.10
B. Rs. 6999.20
C. Rs. 6654
D. Rs. 7000

Answer: Option A

Explanation:

 

Rebate = 6% of Rs. 6650 = Rs. 6 x 6650 = Rs. 399.
100

 

 

Sales tax = 10% of Rs. (6650 - 399) = Rs. 10 x 6251 = Rs. 625.10
100

 

 Final amount = Rs. (6251 + 625.10) = Rs. 6876.10

 
15
 

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: Option B

Explanation:

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

 

Increase% = 87500 x 100 % = 50%.
175000

 

 

 Required average = 50 % = 5%.
10