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Percentage Questions and Answers

Q11 :

A's income is 20% less than B's income and B's income is 10% less than C's income, if C's income is Rs. 180, then the income of A is.

A
  

Rs. 119.60

B
  

Rs. 129.60

C
  

Rs. 139.60

D
  

Rs. 149.60

View Answer
Correct Answer: B

Rs. 129.60

Description:

A : B = 80 : 100 = 4 : 5

B : C = 90 : 100 = 9 : 10

If  A : C  = 4 ×times 9 : 5 ×times 10 = 36 : 50 = 18 : 25

If B gets Rs. 25, A gets Rs. 18

But C gets 180, then A gets

Rs. 1825×180frac{18}{25} times 180 = Rs. 129.60

Q12 :

The population of a town is 64,000 and its annual increase is 10%. The increase in the population at the end of 3 years is

A
  

20,184

B
  

22,184

C
  

21,184

D
  

31,184

View Answer
Correct Answer: C

21,184

Description:

Population after 3 years

=64000(1+10100)3=64000×13311000= 64000 Big(1 + frac{10}{100}Big)^3 = 64000 times frac{1331}{1000}

Increase = 64000 ×1331100064000times frac{1331}{1000} - 64000 = 21184

Q13 :

A dishonest shopkeeper claims to sell his goods at cost price but uses a weight of 800 gm in place of the standard 1 kg weight. His gain percent is

A
  

25%

B
  

20%

C
  

16%

D
  

8%

View Answer
Correct Answer: A

25%

Description:

Let cost price = Rs. 100 per kg
= Rs. 100 per 1000 gm
and he use 1 kg as 800 gm.
 therefore  His gain = cost of 200 gm = Rs. 20
 therefore His gain  %=2080×100=25%% = frac{20}{80} times 100 = 25%

Q14 :

An error of 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is

A
  

2%

B
  

2.02%

C
  

4%

D
  

4.04%

View Answer
Correct Answer: D

4.04%

Description:

Let the side of the square = 100

area =(100)2=10000therefore text{area } = (100)^2 = 10000

Due to error, the side of the square = 102
then area =  (102)2=10404(102)^2 = 10404

therefore difference = 404

Error % in the area of the square

=40410000×100=4.04%= frac{404}{10000} times 100 = 4.04%

Q15 :

In a certain examination 40% of the students failed in Mathematics, 30% failed in English and 10% failed in both. The percentage of students who passed in both the subjects is:

A
  

20

B
  

40

C
  

30

D
  

10

View Answer
Correct Answer: B

40

Description:

Student failed in both subjects = (40 + 30)%
and student failed is at least one subject = (70 - 10)% = 60%
therefore Student passed in both subject = (100 - 60)% = 40%

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