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Percentages Practice Set 3

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Percentages Practice Set 3

shape 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% = [latex]\frac{10}{100}[/latex] = [latex]\frac{1}{10}[/latex]
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.

shape 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 × 100 = 10000 80 × 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 × ([latex]\frac{105}{100}[/latex]) × ([latex]\frac{105}{100}[/latex]) × ([latex]\frac{105}{100}[/latex]) = 138915 x = [latex]\frac{138915}{1.157625}[/latex] 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. Nitin’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: [latex]\frac{10 × 10}{100}[/latex] = 1%
1. A man spends 10% of his income in house rent, 20% of the rest on his children’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 × ([latex]\frac{90}{100}[/latex]) × ([latex]\frac{80}{100}[/latex]) × ([latex]\frac{75}{100}[/latex]) = 1944 x × 0.9 × 0.8 × 0.75 x = [latex]\frac{1944}{0.54}[/latex] 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[latex]\frac{1}{3}[/latex]% B. 9[latex]\frac{1}{11}[/latex]% C. 11[latex]\frac{1}{9}[/latex]% D. 66[latex]\frac{2}{3}[/latex]%

Answer: Option A
Explanation: 100 75 ------- 75 ------- 25 100 ------ ? => 33[latex]\frac{1}{3}[/latex]%
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 × ([latex]\frac{20}{100}[/latex]) = Rs. 96 Present Savings = 100 – 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: null
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 × [latex]\frac{5}{9}[/latex] = 25,000 Female = 45,000 × [latex]\frac{4}{9}[/latex] = 20,000 Married Male = 25,000 × [latex]\frac{40}{100}[/latex] = 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: [latex]\frac{(30 × 30)}{100}[/latex] = 9% decrease
Percentages - Related Information
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Percentages Practice Set 1
Percentages Practice Set 2
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