Percentage Mcqs - Set 6

1)   Moons salary was first increased by 20% and then decreased by 20%. If his present salary is Rs. 7200, then what was his original salary?

a. Rs. 8000
b. Rs. 7500
c. Rs. 7400
d. Rs. 7200
e. None of these
Answer  Explanation 

ANSWER: Rs. 7500

Explanation:
Let Mohan’s salary be Rs.100.

When increased by 20%, Mohan’s salary = Rs.120
Again when decreased by 20%, Mohan’s salary = 120 – 24 = Rs. 96.
But present salary is Rs. 7200
for, 96 —> 100 ; 7200 —> ?
Required salary is 7200/96 * 100 = Rs. 7500


2)   If 25% of x is 15 less than 15% of 1500, then x is?

a. 720
b. 750
c. 820
d. 840
e. None of these
Answer  Explanation 

ANSWER: 840

Explanation:
25% of x = x/4 ; 15% of 1500 = 15/100 * 1500 = 225

Given that, x/4 = 225 – 15 => x/4 = 210 => x = 840.


3)   Amir saves 32% of his monthly salary. If he spends Rs. 27200, then find his savings?

a. 15400
b. 14300
c. 13200
d. 12800
Answer  Explanation 

ANSWER: 12800

Explanation:
Let the monthly salary of Aamir be Rs. x.

68% of x = 27200
=> x = (27200 * 100)/68 = 40000
His savings = 32/100 * 40000 = 12800.


4)   If two positive numbers are in the ratio 1/8 : 1/5, then by what percent is the second number more than the first?

a. 40%
b. 33 1/3%
c. 60%
d. 66 2/3%
e. None of these
Answer  Explanation 

ANSWER: 60%

Explanation:
Given ratio = 1/8 : 1/5 = 5 : 8

Let first number be 5x and the second number be 8x.
The second number is more than first number by 3x.
Required percentage = 3x/5x * 100 = 60%.


5)   If the price of an article went up by 20%, then by what percent should it be brought down to bring it back to its original price?

a. 16 2/3%
b. 20%
c. 22 1/3%
d. 15%
e. None of these
Answer  Explanation 

ANSWER: 16 2/3%

Explanation:
Let the price of the article be Rs. 100.

20% of 100 = 20.
New price = 100 + 20 = Rs. 120
Required percentage = (120 – 100)/120 * 100
= 20/120 * 100 = 50/3 = 16 2/3%.


6)   If P gets 25% more than Q, then by what percent does Q get less than P?

a. 33 1/3%
b. 30%
c. 20%
d. 16 2/3%
e. None of these
Answer  Explanation 

ANSWER: 20%

Explanation:
Let Q get 1 unit.

25% of 1 unit = 1/4 = 0.25
P gets (1 + 0.25) i.e., 1.25 units.
Difference = (1.25 – 1) = 0.25
Required percentage = 0.25/1.25 * 100 = 1/5 * 100 = 20%


7)   If 30% of a number exceeds 20% of it by 18, then find the number?

a. 120
b. 200
c. 180
d. 150
e. None of these
Answer  Explanation 

ANSWER: 180

Explanation:
Let the number be x.

30% of x = 30/100 * x = 3x/10
20% of x = 20/100 * x = x/5 = 2x/10.
Given that 3x/10 – 2x/10 = 18 => x = 180.
Required number is 180.


8)   When the numerator of a fraction is decreased by 25% and its denominator is decreased by 20%, the new fraction obtained is 3/4. Find the original fraction?

a. 5/4
b. 4/7
c. 5/6
d. 6/7
e. None of these
Answer  Explanation 

ANSWER: None of these

Explanation:
Let the fraction be x/y.

When the numerator decreased by 25% and the denominator decreased by 20%.
(x * 3/4)/(y * 4/5) = 3/4 => x/y = 3/4 * (4/5)/(3/4) = 4/5


9)   Bilal spends 45% of his monthly income on household items, 25% of his monthly income on buying cloths, 7.5% of his monthly income on medicines and saves the remaining amount which is Rs. 9000. Find his monthly income.

a. Rs. 40000
b. Rs. 36000
c. Rs. 50000
d. Rs. 45000
e. None of these
Answer  Explanation 

ANSWER: Rs. 40000

Explanation:
Let the monthly income of Ajay be Rs. x

Savings of Ajay = x – (45 + 25 + 7.5)/100 * x = 22.5/100 x
22.5/100 x = 9000
x = 40000.


10)   If 15% of 30% of 50% of a number is 90, then what is the number?

a. 4000
b. 3050
c. 4400
d. 4500
e. None of these
Answer  Explanation 

ANSWER: 4000

Explanation:
Let the number be a

Given, 15/100 * 30/100 * 50/100 * a = 90
=> 3/20 * 3/10 * 1/2 * a = 90
=> a = 10 * 20 * 10 * 2 = 4000.


11)   If A got 80 marks and B got 60 marks, then what percent of A’s mark is B’s mark?

a. 60%
b. 80%
c. 65%
d. 75%
e. None of these
Answer  Explanation 

ANSWER: 75%

Explanation:
A’s marks = 80 ; B’s marks = 60.

Let x% of A = B => x/100 * 80 = 60
=> x = (60 * 100)/80 = 75
B’s marks is 75% of A’s marks.


12)   3/20 is what percent of 12/25?

a. 42.75%
b. 31.25%
c. 35.5%
d. 40.5%
e. None of these
Answer  Explanation 

ANSWER: 31.25%

Explanation:
Let the required percentage be x%.

3/20 = x% of 12/25 => 3/20 = x/100 * 12/25
=> 12x = (300 * 25)/20 => x = (25 * 25)/20
=> x = 31.25%.


13)   80 is what percent of 64?

a. 85%
b. 120%
c. 75%
d. 125%
e. None of these
Answer  Explanation 

ANSWER: 125%

Explanation:
Let x percent of 64 be 80.

64 * x/100 = 80 => x = (80 * 100)/64 => x = 125
80 is 125% of 64.


14)   64 is what percent of 80?

a. 80%
b. 70%
c. 60%
d. 64%
Answer  Explanation 

ANSWER: 64%

Explanation:
Let x percent of 80 be 64.

80 * x/100 = 64 => x = (64 * 100)/80 => x = 80.
80% of 80 is 64.


15)   What percent of 125 is 16?

a. 10 2/5%
b. 12 3/5%
c. 11 1/5%
d. None of these
Answer  Explanation 

ANSWER: None of these

Explanation:
Let the required percentage be x%.

x% of 125 = 16 => x/100 * 125 = 16
=> x = 1600/125 = 64/5 = 12 4/5


16)   Find the 37.5% of 976 =_______?

a. 324
b. 388
c. 366
d. 372
e. None of these
Answer  Explanation 

ANSWER: 366

Explanation:
37.5 % of 976

= 37.5/100 * 976 = 375/1000 * 976 = 3/8 * 976
= 3 * 122 = 366.


17)   When 5% is lost in grinding wheat, a country has to import 20 million bags; but when only 2% is lost, it has to import only 15 million bags. Find the quantity of wheat, which grows in the country?

a. 133 1/3 m
b. 150 m
c. 106 2/3 m
d. 166 2/3 m
Answer  Explanation 

ANSWER: 166 2/3 m

Explanation:
5% – 2% = 3%
3% —- 5
100% —- ? => 166 2/3


18)   A person was asked to subtract 25% of a number from the original but he subtracted 25 from the number. His answer was 25 more than correct one. What was the original number?

a. 160
b. 180
c. 225
d. 200
Answer  Explanation 

ANSWER: 200

Explanation:
25 + 25 = 50
25% —— 50
100% —– ? => 200


19)   In a school of 850 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?

a. 173
b. 163
c. 153
d. 143
Answer  Explanation 

ANSWER: 153

Explanation:
44 + 28 + 10 = 82%
100 – 82 = 18%
850 * 18/100 = 153


20)   A person spends 1/5th of his income on the education of his children, and 20% of the remaining on food. If he is left with Rs.576 find his income?

a. Rs.900
b. Rs.800
c. Rs.500
d. Rs.1000
Answer  Explanation 

ANSWER: Rs.900

Explanation:
X * 4/5 * 80/100 = 576
X = 14400/16
X = 900