Percentage explained through life examples
This article is in continuation to the last article focusing on the percentage topic. Here are some practice questions along with solutions that will help you in your preparation for the State government recruitment jobs.
1. Income tax rate is 20% in a particular year. If in the next year, a person’s income is increased by 25%, but total tax liability remains the same, find tax-rate during the next year.
a) 16% b) 18%
c) 17% d) 15%
Ans: a
Solution: Ratio of income
= 100 : 125
= 4 : 5
Ratio of tax rate
= 5 : 4
5 —> 20%
1 —> 4%
4 —> 4 × 4 = 16%
2. Fresh fruits contain 68% water and dry fruit contains 20% water. How much dry fruits can be obtained from 100 kg of fresh fruits?
a) 20 kg b) 30 kg
c) 40 kg d) 50 kg
Ans: c
Solution: Pulp in fresh fruit = Pulp in dry fruit
F × 32% = D × 80%
100 × 32 = D × 80
D = 40 kg
3. When water is frozen to ice, its volume increases by 10%. What percent of the volume of the ice
decreases when its melts to water?
a) 9% b) 9 1/11%
c) 6% d) 6 1/5%
Ans: b
Solution:
10% = 10/100
= 1/10
Decrease in volume
= 1/ 10 + 1 ×
100%
= 1/11
× 100%
= 9 1/11 %
4. In an alloy, there is 12% of copper. To get 69 kg of copper, how much alloy will be required?
a) 424 kg b) 828 kg
c) 575 kg d) 595 kg
Ans: c
Solution: 100 kg alloy —> 12 kg copper
? —> 69 kg copper
? = 100 × 69/ 12
= 575 kg
5. A man bought some eggs of which 10% are rotten. He gives 80% of the remainder to his neighbours. Now, he is left with 36 eggs. How many eggs did he buy?
a) 72 b) 200
c) 100 d) 40
Ans: b
Solution:
10% = 10/100 = 1/10,
80% = 80/100 = 4/5
10 : 9
5 : 1
50 : 9
9 —> 36
1 —> 4
50 × 4 = 200
6. In a library 20% of the books are in Hindi, 50% of the remaining in English and 30% of the remaining
are in French and rest 6,300 books are in regional language. Then find the number of books in
the library.
a) 22,000 b) 22,500
c) 25,000 d) 25,250
Ans: b
Solution:
20% = 20/100 = 1/5,
50% = 50/100 = 1/2,
30% = 30/100 = 3/10
5 : 4
2 : 1
10 : 7
25 : 7
7 —> 6300
1 —> 900
Total number of books in the library
= 25 × 900
= 22,500
M Venkat
Director
MVK Publications
Dilsukhnagar
7671002120
