Percentage Questions Answers - Solve Percentage Calculations

Q1 :

In an election, one of the two candidates got 40% of the total votes cast and lost by 100 votes. The total number of votes cast in the election is

A

400

B

500

C

600

D

700

View Answer

Correct Answer: B

500

Description:

100 votes = 20% of the total votes cast difference % between two candidates.
$therefore$ The total number of votes cast = 500

Q2 :

A mixture of 40 litres of milk and water contains 10 p.c. of water. How much water must be added to make the water 20% in the new mixture?

A

3

B

7

C

10

D

5

View Answer

Correct Answer: D

5

Description:

$90% text{ of } 40 = 80% text{ of new mixture}$

$text{New mixture } = frac{90 times 40}{80} = 45 text{ litres}$ $New mixture = 8 0 9 0 \times 4 0 = 45 litres$

$text{Water added } 45-40 = 5 text{ litres}$

Q3 :

If 20% of a number is 7.2, then the number is

A

34

B

35

C

36

D

37

View Answer

Correct Answer: C

36

Description:

20% is 7.2

$20% times 5 = 100% text{ , so the number is } 7.2 times 5 = 36$

Q4 :

The population of a town increased from 70,000 to 71,050. Find the increase per cent.

A

3%

B

2%

C

2.5%

D

1.5%

View Answer

Correct Answer: D

1.5%

Description:

$text{ Increase } % = frac{1050}{70,000} times 100 = 1.5%$

Q5 :

A cask containing 425 litres, lost 8% by leakage. How many litres were left in the cask?

A

401

B

391

C

371

D

34

View Answer

Correct Answer: B

391

Description:

$8% text{ of } 425 = frac{425}{100} times 8 = 34$

= 425 - 34 = 391

Q6 :

If the price of coal be raised by 20%, find by how much percent a housewife must reduce her consumption of that article so as not to increase her expenditure.

A

40%

B

$33frac{1}{3}%$

C

$16frac{2}{3}%$

D

10%

View Answer

Correct Answer: C

$16frac{2}{3}%$

Description:

According to rule, reduction in consumption

$= frac{20}{100+20} times 100% = 16frac{2}{3}%$

Q7 :

In an examination 70% of the candidates passed in English, 65% in Mathematics, 27% failed in both subjects. What is the pass percentage?

A

23%

B

28%

C

62%

D

38%

View Answer

Correct Answer: C

62%

Description:

Candidates failing in English = 30%
Candidates failing in Maths = 35%
Candidates failing in Boths = 27%
Fail percentage = (30 + 35 - 27)% = 38%
$therefore$ Pass % = 62%

Q8 :

At an election where there are two candidates only the candidate who gets 62 percent of the votes is elected by a majority of 144 votes. Find the total number of votes.

A

125

B

200

C

600

D

400

View Answer

Correct Answer: C

600

Description:

One candidate got 62% of total votes, the other got 38%, so difference is 24%
$therefore$ 24% of total votes = 144

$therefore text{ Total votes } =144 times frac{100}{24} = 600$

Q9 :

Two numbers are respectively 20% and 50% more than a third number. What percentage is the first of the third?

A

150

B

80

C

120

D

100

View Answer

Correct Answer: C

120

Description:

Let the third number 100, so the first is 120 and the second is 150. Thus first is 120 of third.

Q10 :

In an examination, 1000 were boys and 800 were girls, 60% boys and 40% of girls passed. The percentage of candidates that failed is

A

45.88

B

46.88

C

47.88

D

48.88

View Answer

Correct Answer: D

48.88

Description:

Candidates passing

= 60% $times$ 1000 + 40% $times$ 800

= 600 + 320 = 920

Total number = 1000 + 800 = 1800

$therefore$ Pass % $=frac{920}{1800} times 100 = 48.88$

$∴$ Failed % = 100 - 51.12 = 48.88

Percentage Questions and Answers