Percentage Questions and Answers

Q 1

A two digit number ab is 60% of x. The two-digit number formed by reversing the digits of ab is 60% more than x. Find x.


A)  

72

B)  

36

C)  

90

D)  

45


Correct Option - D

Explanation

Let the digits of the number be a and b.

10a + b = 0.6x

10b + a = 1.6x

Subtracting one from the other, we get

9b - 9a = x or x = 9( b-a)

x should be a multiple of 9.

0.6 = 3/5

10a + b = 3x/5, this implies that x should also be a multiple of 5.

Or, x should be a multiple of 45

x should be equal to 45, ab = 27, ba = 72

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Q 2

Raju's salary was reduced by 25%.Percentage increase to be effected to bring the salary to the original level is


A)  

20%

B)  

25%

C)  

33.33%

D)  

30%


Correct Option - C

Explanation

Let Raju’s salary be x and his new salary be 0.75x.

To bring his salary to the original level, 0.25x should be added.

% increase 

         = (0.25x/0.75x) * 100 

         = 33.33 %

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Q 3

Daal is now being sold at Rs. 20 a kg. Last month, its rate was Rs. 16 per kg. By how much percent should a family reduce its consumption so as to keep the expenditure fixed?


A)  

25%

B)  

20%

C)  

5%

D)  

4%


Correct Option - B

Explanation


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Q 4

If the length and breadth of a rectangle is increased by 15% and 20%, by how much will the area of the rectangle increase?


A)  

38%

B)  

35%

C)  

32%

D)  

30%


Correct Option - A

Explanation

Area of the new rectangle 

= 1.15l*1.2b 

= 1.38lb

% increase in area = 38%

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Q 5

If the length and area of a rectangle have been increased by 20% and 32% respectively, by how much % has the breadth been increased?


A)  

15%

B)  

12%

C)  

11%

D)  

10%


Correct Option - D

Explanation

New breadth

=1.32lb/1.2l = 1.1b

% increase in breadth = 10%

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Q 6

A group of 300 consists of 135 senior citizens. If 40% of the women in the group are senior citizens and there are 200 men in the group, find the number of male senior citizens 


A)  

95

B)  

40

C)  

45

D)  

120


Correct Option - A

Explanation

Let a and b be the number of Male Senior Citizens and Male Non-Senior Citizens respectively.


Let c and d be the number of Female Senior Citizens and Female Non-Senior Citizens respectively. 


a+b=200

a+c=135

a+b+c+d=300

0.4*(c+d)=c

Solving the four equations, a=95

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Q 7

In a cricket match, Rahul scored a century with 13 boundaries and 3 sixes. What percentage of his runs did he make by running between the wickets?


A)  

70%

B)  

50%

C)  

35%

D)  

30%


Correct Option - D

Explanation

Runs scored in boundaries and sixes 

= (13*4)+(3*6) 

= 52+18 = 70

Runs scored between the wickets 

= 100-70 = 30

30% of the runs are scored by running between the wickets

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