Percentage practice questions for competitive exams

When 50 is added to the 50% of a number the result is the number itself. Find the 60% of that number?
a. 20
b. 30
c. 40
d. 60

Answer: d. 60
Solution: Let that number be x
According to the question:
$\Rightarrow 50 % o f x + 50 = x$
$\Rightarrow \frac{50}{100} \times x + 50 = x$
$\Rightarrow \frac{x}{2} + 50 = x$
$\Rightarrow \frac{x - 2 x}{2} = - 50$
$\Rightarrow x = 100$
$\Rightarrow 60 % o f 100 i s 60.$

Two numbers are respectively 20% and 30% of the a third number. What percent is first number to the second?
a. 10%
b. 20%
c. 30%
d. 40%

Answer: d. 40
Solution: Let the third number be 100
If the third number is 100 then the first and second number will be 20 and 50
Let see how much percent of second number is first number
$\Rightarrow 50 \times \frac{x}{100} = 20$
$\Rightarrow \frac{x}{2} = 20 \Rightarrow x = 40$

Two numbers are respectively 28% and 20% less than the third number. What percent is the first number of the second?
a. 80%
b. 85%
c. 90%
d. 75%

Answer: c. 90
Solution: Let the third number be 100
If the third number is 100 then the first and second number will be 72 and 80
Let see how much percent of second number is first number
$\Rightarrow 80 \times \frac{x}{100} = 72$
$\Rightarrow \frac{4 x}{5} = 72 \Rightarrow x = \frac{72 \times 5}{4} = 90$

The number is to be added to 10% of 320 to have the sum as 30% of 230?
a. 32
b. 37
c. 40
d. 42

Answer: b. 37
Solution: Let that number be x
According to the question:
$\frac{10}{100} \times 320 + x = \frac{30}{100} \times 230$
$\Rightarrow x = 37$

A salesman earns 5% comissions up to the sales of Rs 10,000 and for the sales of over Rs 10,000 he earns 6% of the comission. Find the total comission of the salesman if he earned the commission of Rs 1700?
a. Rs 20,000
b. Rs 25,000
c. Rs 30,000
d. Rs 40,000

Answer: c. Rs30,000
Solution: let the commission earned by salesman be x
According to the question:
$\Rightarrow 10000 \times \frac{5}{100} + (x - 10000) \times \frac{6}{100} = 1700$
$\Rightarrow 50000 + 6 x - 60000 = 170000$
$\Rightarrow 6 x = 170000 + 10000 \Rightarrow 6 x = 180000$
$\Rightarrow x = 30000$

If A earns 25% more than B then how much percent does B earns less than ?
a. 15%
b. 20%
c. 25%
d. 30%

Answer: b. 20%
Solution: Let the income of b 100
If the income of b is 100 then the income of A will be 125
` B is earning (125-100)=25 less than $\Rightarrow 125 \times \frac{x}{100} = 25 \Rightarrow x = 20$

What percent of one day is 32 minutes?
a. 1%
b. 1.5%
c. 2%
d. 2.5%

Answer: d. 2.5%
Solution: Total minutes in one day = (24×60)
$\frac{36}{24 \times 60} \times 100 = 2.5$

1% of 1% of 25% of 10000 is?
a. 2.5%
b. 0.25%
c. 0.025%
d. 0.0025%

Answer: b. 0.25
Solution:
$\frac{1}{100} \times \frac{1}{100} \times \frac{25}{100} \times 1000 = 0.25$

Which number is 40% less than 80 ?
a. 48
b. 42.
c. 36
d. 54

Answer: a. 48
Solution: 40% of 80 will be:
$\frac{40}{100} \times 80 = 32$
The number which is 40% less than the 80 is (80-32)=48

The percentage change in a number when it is first decreased by 20% and then increased by 20% is ?
a. 4% increase
b. 4% decrease
c. 0.4% increase
d. no changes

Answer: b. 4% decrease
Solution: Let that number be 100.
After 20% increase and 20% decrease the number will be:
$100 \times \frac{120}{100} \times \frac{80}{100} = 96$
96 is 4% less than 100

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Pariksha buddy

Percentage practice questions for competitive exams

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