# Percentages Practice Set 3

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# Percentages Practice Set 3

### Introduction

Percentages: A Percentage is a dimensionless ratio or number expressed as a fraction of 100. It is often denoted by the character (%).

Example: 10% = $$\frac{10}{100}$$ = $$\frac{1}{10}$$

Percentages is one of the important topic in the Quantitative Aptitude section. The article Percentages Practice Set 3 consists of different models of questions with answers useful for candidates preparing for different competitive examinations like RRB ALP/Technical Exams/Junior Engineer Recruitment Exams, SSC, IBPS PO Exams and other examinations across the globe that include Quantitative Aptitude section. Prepare better for all exams with this Percentages Practice Set 3 for SSC CGL & Railways. This Percentages Practice Set 3 for SSC, Railways Exams will help you learn concepts of mensuration.

### Quiz

1. The tax on a commodity is diminished by 20% but its consumption is increased by 10%. Find the decrease percent in the revenue derived from it?

A. 20%
B. 18%
C. 15%
D. 12%

Answer: Option D

Explanation:

100 Ã— 100 = 10000
80 Ã— 110 = 8800
10000 ——- 1200
100 ——- ? = 12%

2. At an examination in which full marks were 500. A got 10% less than B, B got 25% more than C and C got 20% less than D. If A got 360marks, what percentage of full marks was obtained by D?

A. 70%
B. 90%
C. 80%
D. 75%

Answer: Option C

Explanation:

 A B C D 90 100 80 100
 A D 90 — 100 360 — ? = 400 500 — 400 100 — ? => 80%

3. If population of certain city increases at the rate of 5%. If population in 1981 was 138915, then population in 1978 was?

A. 1,20,000
B. 1,10,000
C. 1,00,000
D. 90,000

Answer: Option A

Explanation:

x Ã— ($$\frac{105}{100}$$) Ã— ($$\frac{105}{100}$$) Ã— ($$\frac{105}{100}$$) = 138915
x = $$\frac{138915}{1.157625}$$
x = 120000

4. There were two candidates in an election. Winner candidate received 62% of votes and won the election by 288 votes. Find the number of votes casted to the winning candidate?

A. 456
B. 744
C. 912
D. 1200

Answer: Option B

Explanation:

W = 62% L = 38%
62% – 38% = 24%
24% ——– 288
62% ——– ? => 744

5. Nitinâ€™s salary is reduced by 10% and then reduced salary is increased by 10%. Find ,how many percentage his present salary is less as compared to his previous salary?

A. Nothing
B. 10%
C. 1%
D. 5%

Answer: Option C

Explanation:

$$\frac{10 Ã— 10}{100}$$ = 1%

1. A man spends 10% of his income in house rent, 20% of the rest on his childrenâ€™s education, 25% of the rest miscellaneous causes. If he now posses Rs. 1944 then his income is?

A. Rs.3600
B. Rs.4000
C. Rs.4500
D. Rs.3000

Answer: Option A

Explanation:

x Ã— ($$\frac{90}{100}$$) Ã— ($$\frac{80}{100}$$) Ã— ($$\frac{75}{100}$$) = 1944
x Ã— 0.9 Ã— 0.8 Ã— 0.75
x = $$\frac{1944}{0.54}$$
x = 3600

2. If cost of sugar increases by 25%. How much percent consumption of sugar should be decreased in order to keep expenditure fixed?

A. 10%
B. 15%
C. 20%
D. 25%

Answer: Option C

Explanation:

100
125
—–
125 —– 25
100 —— ? => 20%

3. The price of an article has been reduced by 25%. In order to restore the original price the new price must be increased by?

A. 33$$\frac{1}{3}$$%
B. 9$$\frac{1}{11}$$%
C. 11$$\frac{1}{9}$$%
D. 66$$\frac{2}{3}$$%

Answer: Option A

Explanation:

100
75
——-
75 ——- 25
100 —— ? => 33$$\frac{1}{3}$$%

4. Two numbers are 30% and 37% are less than a third number .How much percent is the second number less than the first?

A. 15%
B. 12%
C. 10%
D. 5%

Answer: Option C

Explanation:

 I II III 70 63 100

70 ——– 7
100 —— ? => 10%

5. A man saves 20% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 20%, he is only able to save Rs. 200 per month. What is his monthly salary?

A. Rs.5000
B. Rs.25000
C. Rs.7500
D. Rs.8500

Answer: Option A

Explanation:

Income = Rs. 100
Expenditure = Rs. 80
Savings = Rs. 20
Present Expenditure 80 Ã— ($$\frac{20}{100}$$) = Rs. 96
Present Savings = 100 â€“ 96 = Rs. 4
100 —— 4
? ——— 200 = > 5000

1. A candidate who gets 30% of the marks fails by 50 marks. But another candidate who gets 45% marks gets 25 marks more than necessary for passing. Find the number of marks for passing?

A. 150
B. 200
C. 250
D. 275

Answer: Option B

Explanation:

30% ———— 50
45% ———— 25
———————-
15% ————- 75
30% ————– ?
150 + 50 = 200 Marks

2. After 38 liters of petrol were poured into the tank, it was still 5% empty. How much petrol must be poured into the tank in order to fill it?

A. 38 liters
B. 40 liters
C. 38.5 liters
D. 2 liters

Answer: Option D

Explanation:

95% ———– 38
5% ———— ? => 2 liters

3. In an examination 40% failed in Hindi, 45% failed in English. If 25% students failed in both the subjects. Then the percentage of failed students is?

A. 15%
B. 65%
C. 60%
D. 70%

Answer: Option C

Explanation:

4. The population of a town is 45000; 5/9th of them are males and the rest females 40% of the males are married. What is the percentage of married females?

A. 60%
B. 50%
C. 45%
D. 40%

Answer: Option B

Explanation:

Male = 45,000 Ã— $$\frac{5}{9}$$ = 25,000
Female = 45,000 Ã— $$\frac{4}{9}$$ = 20,000
Married Male = 25,000 Ã— $$\frac{40}{100}$$ = 10,000
Married Female = 10,000
20,000 ———— 10,000
100 ————- ? => 50%

5. The salary of a worker is first increased by 30% and afterwards reduced by 30%. What is net change in his salary?

A. 90% increase
B. 45% increase
C. 9% decrease
D. Same as before

Answer: Option C

Explanation:

$$\frac{(30 Ã— 30)}{100}$$ = 9% decrease