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1. What percentage is equivalent to
3 / 8
?
  A.   39
1 / 4
%
  B.  
8 / 3
%
  C.   27
1 / 2
%
  D.   37
1 / 2
%
     
   
View Answer

3 / 8
x 100 =
75 / 2
= 37
1 / 2
%

2. What fraction is 12
1 / 2
percent?
  A.  
1 / 8
  B.  
25 / 2
  C.  
1 / 5
  D.  
1 / 5
     
   
View Answer

12
1 / 2
% =
25 / 2
% =
25/2 / 100
=
25 / 200
=
1 / 8

3. Find the 8% of Rs. 625
  A.  Rs. 40
  B.  Rs. 50
  C.  Rs. 55
  D.  None of the Above
     
   
View Answer

8 / 100
x 625 =
2 / 25
x 625 = 2 x 25 = Rs 50

4. A tank containing 425 litres and it lost 8% by leakage. How many litres were left in the tank?
  A.  381 litres
  B.  401 litres
  C.  391 litres
  D.  395 litres
     
   
View Answer

8% lost by leakage, i.e
8 / 100
x 425 =
2 / 25
x 425 = 34 litres
Remaining water in the tank = (425 − 34) = 391 litres

5. In an election where there are two candidates only, the candidate who gets 62% of the votes is elected by majority of 144 votes. Find the total no. of votes recorded.
  A.  650
  B.  600
  C.  550
  D.  625
     
   
View Answer

Let the total number of votes be y
Now, according to the question,
62% of y − 38% of y = 144
62 / 100
y −
38 / 100
y = 144
62y - 38y / 100
= 144
24y = 144 x 100
y =
144 x 100 / 24
= 600
∴ y = 600

6. In an election where there are two candidates only, the candidate who gets 43% of the votes is rejected by majority of 420 votes. Find the total no. of votes recorded.
  A.  3000
  B.  3500
  C.  2500
  D.  None of the Above
     
   
View Answer

Let the total number of votes be y
Now, according to the question,
57% of y − 43% of y = 420
57 / 100
y −
43 / 100
y = 420
57y - 43y / 100
= 420
14y = 420 x 100
y =
420 x 100 / 14
= 30 x 100
∴ y = 3000

7. 25% of what number is 36?
  A.  145
  B.  134
  C.  125
  D.  144
     
   
View Answer

Shortcut:
If x% of a number(N) is y, then the number(N) =
y / x
x 100
Here, x = 25, y = 36
Putting these values in the shortcut, we get
36 / 25
x 100 = 144
∴ Number = 144

8. 12
1 / 2
is what percent of Rs. 16
2 / 3
?
  A.  50%
  B.  75%
  C.  25%
  D.  70%
     
   
View Answer

Shortcut:
If x% of a number(N) is result(R), then the value of percentage (x) =
R / N
x 100
Here, N = 16
2 / 3
or
50 / 3
, R = 12
1 / 2
or
25 / 2

Putting these values in the shortcut, we get
Value of % =
25/2 / 50/3
x 100 =
25x3 / 50x2
x 100 =
75 / 100
x 100 = 75
∴ We can say that 75% of Rs 16
2 / 3
is equal to Rs 12
1 / 2

9. 25% of a number is 20, what is 40% of that number?
  A.  85
  B.  70
  C.  100
  D.  80
     
   
View Answer

Shortcut:
If x% and y% of a number(N) is x1 and y1 respectively, then
x1 / x
=
y1 / y
=
N / 100

Here, x = 25 y = 40, x1=20, y1=?
Putting these values in the shortcut, we get
20 / 25
=
y1 / 40
⇒ y1 =
20 x 40 / 25
= 32

y1 / y
=
N / 100

Number(N) =
y1 x 100 / y

N =
32 x 100 / 40
= 80

10. If the price of one kg of sugar is increased by 12
1 / 2
%, the increase is Rs 5. Find the original and new price of sugar per kg.
  A.  Rs .40
  B.  Rs .25
  C.  Rs .50
  D.  Rs .20
     
   
View Answer

Shortcut:

If the value of absolute difference and percentage difference of two items X and Y are given, then the total value is given by
Value of absolute difference / Difference in percent
x 100
Here, Value of absolute difference = Rs 5, Difference in percent = 12
1 / 2
% =
25 / 2
%
Using these value in shortcut, we get:
Original price =
Value of absolute difference / Difference in percent
x 100 =
5 / 25/2
x 100 = Rs 40

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