# Aptitude Percentage Test Paper 3

11) The population of a town is decreasing at a rate of 10% per annum. If the population two years ago was 20,000, what is the present population?

1. 15000
2. 15200
3. 16000
4. 16200

Explanation:

Apply formula: =16200

12) Two candidates contested an election. The winning candidate scored 54% and won by 88 votes. If 58 votes were declared invalid, find the total number of votes polled in the election?

1. 1042
2. 1100
3. 1158
4. 1188

Explanation:

Let the valid votes = x

As per question; 54% of x-46% of x = 88

8% of x = 88 = 1100 + 58 = 1158

13) 1200 boys and 800 girls appeared in an examination. If 60% of the boys and 40% of the girls passed the examination, what is the percentage of candidates who failed in the examination?

1. 48 %
2. 52 %
3. 45 %
4. 42 %

Explanation:

Number of students failed = 40 % of boys (1200) + 60 % of girls (800) = 480 + 480 = 960

Total number of students = 1200 + 800 = 2000

∴ Percentage of candidates failed = * 100

= * 100 = 48 %

14) In an examination, 25% candidates failed in English and 35 % students failed in Math.If 15 % candidates failed in both, what is the percentage of candidates who passed in both the subjects?

1. 45 %
2. 50 %
3. 55 %
4. 58 %

Explanation:

Apply formula: = 100 - (x + y - z)

x = 25%

y = 35 %

z = 15 %

∴ Required percentage of candidates = 100 - (25 + 35 - 15)

= 100 - 45 = 55%

15) Naresh's monthly income is reduced by 15%. By what percentage his monthly income must be increased so that it is again equal to his original monthly income?

1. 16.6%
2. 15.6%
3. 14.6%
4. 17.6%

Explanation:

Let Naresh's monthly income is x.

New income = x - 15% x The income is reduced by ,So, should be added to his new income so that it becomes equal to his original monthly income.

∴ Required percentage increase in monthly income = * 100 Percentage Aptitude Test Paper 1
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Percentage Concepts   