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Tricky Questions Percentage

Percentage - Aptitude

21.The salary of a person was reduced by 10%. By what percent should his reduced salary be raised so as to bring it at par with his original salary?

A. 86/9%✘

B. 95/9%✘

C. 111/9%✘

D. 100/9%✔

x

 

Option: D

Explanation

Consider the original salary be Rs.100

if the salary was reduced by 10%, his new salary will be Rs.90

Increase on 90 = 10%

so, increase on 100 = ((10/90) * 100)% = 100/9%)

Ans = 100/9%

✉Answer


22.When the price of the product was decreased by 10%, the number sold increased by 30%. What was the effect on the total revenue?

A. 17%✔

B. 19%✘

C. 23%✘

D. 31%✘

x

 

Option: A

Explanation

Consider the price of the product be Rs.100

consider the original sale be 100 pieces

then, total revenue = Rs.(100 * 100) = Rs.10000

if the price of product was decreased by 10% and number of pieces be increased by 30%

then, new total revenue = Rs.(90 * 130) = Rs.11700

increase in revenue = ((11700/10000) * 100)% = 17%

Ans = 17%

✉Answer


23.During one year, the population of a town increased by 5% and during the next year,the population decreased by 50%. If the total population is 9975 at the end of the second year, then what was the population size in the beginning of the first year?

A. 9000✘

B. 10000✔

C. 15000✘

D. 12000✘

x

 

Option: B

Explanation

In one year the population is increased by 5%

In next year the population is decreased by 5%

at the end of second year the population is 9975

then the population in the beginning of the first year is given by,

9975/[(1 + (5/100)) * (1 - (5/100))]

(9975 * (20/21) * (20/19)) = 10000

Ans = 10000

✉Answer


24.How many kg of pure salt must be added to 30 kg of 2% solution of salt and water to increase it to a 10% solution?

A. 7/3✘

B. 5/3✘

C. 8/3✔

D. 10/3✘

x

 

Option: C

Explanation

amount of salt in 30 kg solution = (2/100) * 30kg = 0.6kg

consider x kg of pure salt be added

then, (0.6 + x)/(30 + x) = 10/100

60 + 100x = 300 + 10x

90x = 240

x = 8/3

Ans = 8/3

✉Answer


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