# Percentage

**Percentage - **The word - ‘Percentage’ is a combination per + cent. A comparison by 100 is called percentage. It is the most common topic in the quantitative aptitude section in all government job exams. The percentage is the most important topic because the whole theory of arithmetic is depended on its concept. We have learned it in our school days but here we need some smart approaches to solve the questions. Questions in quantitative aptitude sections of government and competitive exams don’t match much from what we studied in school. Most common types of questions asked in percentages are as follows -

How to calculate the percentage of marks

Questions based on basic concepts of percentage

Questions based on net increase & decrease

Questions based on consumption, price & quantity

Questions based on ratios

Questions based on examination & marks

Questions based on elections

Questions based on population

Questions based on the fractional method

Questions based on Venn-diagram

### How to prepare percentages?

Tables, square, cubes are the prerequisite for the percentages.

Learn the questions solving using base 100.

Learn the questions solving using fractional values.

Apply both techniques to solve different conceptual problems.

Solve each question that appeared in past papers.

The percentage is important because all the other topics in arithmetic are based on the concepts of percentages. Some of the topics which are totally dependable over percentages are as follows:-

Profit & loss

Simple Interest & Compound Interest

Data Interpretation

After having a look through percentage we can create some percentage formulas to use as mnemonics.

### All questions of Percentage

**Q 1.**

**What percent of is .**

3.32%

2.22% (Correct)

45%

450%

10%

**Q 2.**

**What is 20% of 50% of 75% of 50% of 140?**

5.25 (Correct)

4.25

7.25

5.5

6.75

**Q 3.**

**If the cost of a calculator worth Rs 250 is increased by Rs 100, the rate of increase is**

30 %

40% (Correct)

25%

none

100%

**Q 4.**

**A number increased by 37.5% gives 99 the number is**

140

86

72 (Correct)

48

61.5

**Q 5.**

**Ram sells his goods 25% cheaper than Shyam and 25% dearer than Bram. How much percentage is Bram’s goods cheaper than Shyam’s?**

55 %

50%

66.66%

40% (Correct)

33.33%

**Q 6.**

**In an exam, 52% of the candidates failed in science, 42% in maths and 17% in both. The number of those who passed in both subjects is**

83%

64%

23% (Correct)

42%

55.5%

**Q 7.**

**The price of an item is increased by 20% and then decreased by 20%. The final price as compared to the original price**

5 % more

20% more

20% less

4% less (Correct)

4% more

**Q 8.**

**If A's height is 40% less than that of B, how much percent B's height is more than that of A?**

66.66% (Correct)

76.66%

56.66%

86.66%

96.66%

**Q 9.**

**A student multiplied a number by instead of , What is the percentage error in the calculation?**

54 %

64% (Correct)

74%

45%

84%

**Q 10.**

**In an election between 2 candidates, Bhiku gets 65% of the total valid votes. If the total votes were 6000, what is the number of valid votes that the other candidate Mhatre gets if 25% of the total votes were declared invalid?**

1692

1575 (Correct)

1675

1525

1625

**Q 11.**

**A batsman scored 120 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?**

40

60

50 (Correct)

55

45

**Q 12.**

**If the price of a book is first decreased by 25% and then increased by 20%, then the net change in the price will be :**

10% (Correct)

20%

35%

40%

30%

**Q 13.**

**A man spends 35% of his income on food, 25% on children's education and 80% of the remaining on house rent. What percent of his income he is left with?**

6

8 (Correct)

9

12

10

**Q 14.**

**A's salary is 40% of B's salary which is 25% of C's salary. What percentage of C's salary is A's salary? **

10% (Correct)

20%

30%

25%

40%

**Q 15.**

**Of the 1000 inhabitants of a town, 60 % are males of whom 20 % are literate. If, of all the inhabitants, 25% are literate, then what percent of the females of the town are literate ?**

32.5% (Correct)

37.5%

46.6%

53.2%

43%

**Q 16.**

**X is 75% of Y. The percentage of Y to X is:**

25%

75%

125%

133.33% (Correct)

33.33%

**Q 17.**

**X is 80% of y. The percentage of y to y - x is:**

250 %

400%

500% (Correct)

None of these

120%

**Q 18.**

**Verma gets 10% more than Akbar, then Akbar gets**

10% less than Verma

8 % more than Verma

9.09% less than Verma (Correct)

10% more than Verma

9% less than Verma

**Q 19.**

**The price of sugar has risen. By 50% by what fraction must a householder reduce his consumption of sugar so as not to increase his expenditure?**

1/5

1/3 (Correct)

1/2

none

1/4

**Q 20.**

**The population of a town is 12000 if the number of males be increased by 6% and that of females by 8%, the population would be increased to 12800. Find the strength of females in the town.**

3500

4000

4500

4200

5000 (Correct)

**Q 21.**

**In a mixture of 80 liters of milk and water, 25% of the mixture is milk. How much water should be added to the mixture so that milk becomes 20% of the mixture?**

20 liters (Correct)

30 liters

25 liters

24 liters

15 liters

**Q 22.**

**300 gm of sugar solution has 30% sugar in it. How much sugar should be added to make it 60% in the solution?**

90 gm

220 gm

225 gm (Correct)

315 gm

180 gm

**Q 23.**

**A man spent 6.25% of what he had. If his expenditure amounted to Rs 75, what amount he had?**

Rs 1000

Rs 1200 (Correct)

Rs 1600

Rs 1500

Rs 1100

**Q 24.**

**An Engineering student has to secure 40% marks to pass. He get 80 marks and fails by 40 marks. Find his maximum marks.**

500

300(Correct)

250

400

200

**Q 25.**

**The population of a town increased from 70000 to 71050. Find the increase percent .**

1.5% (Correct)

1.45%

1.25%

2%

1.75%