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Percentages Problems for APPSC|TSPSC|SSC|RRB and Other Competitive Exams

1. A reduction of 20% percent in the price of rice enables a housewife to buy 5 kg more for rupees 1200. The reduced price per kg of rice
a) 36
b) 45
c) 48
d) 60
e) None

2. The population of a village has increased annually at the rate of 20%. If at the end of 3 years it is 21600, the population in the beginning of the first year?
a) 10000
b) 12500
c)15000
d) 17500
e) None of these

3. 12 percent of the voters in an election did not cast their votes. In this election there are only two candidates. The winner by obtaining 45% of the total votes and defeated his rival by 2000 votes. The total number of votes in the election
a) 50000
b) 75000
c) 100000
d) 125000
e) None of these

4. A number is first decreased by 25%. The decreased number is then increased by 20%. The resulting number is less than the original number by 40. Then the original number is –
a) 100
b) 200
c) 300
d) 400
e) None of these

5. The number of seats in a cinema hall is decreased by 8% and also the price of the ticket is increased by 4 percent. What is the effect on the revenue collected?
a) increase 4.32%
b) decrease 4.32%
c) increase 3.32 percent
d) decrease 3.32%
e) None of these

6. A man spends 60% of his income. His income is increased by 20% and his expenditure also increases by 10%. Find the percentage decrease in his saving?
a) 10%
b) 15%
c) 20%
d) 25%
e) None of these

7. Weights of two friends A and B are in the ratio of 1:2. A’s weight increases by 20% and the total weight of A and B together becomes 60 kg, with an increase of 30%. By what percent the weight of B increase?
a) 30%
b) 35%
c) 40%
d) 45%
e) None of these

8. The marked price of an article is 20% higher than the cost price. A discount of 20% is given on the marked price. In this transaction the seller
a) bears no loss no profit
b) losses 4%
c) gain 4%
d) losses 1%
e) None of these

9. When the price of rice is increased by 30 percent, a family reduces its consumption such that the expenditure is only 20 percent more than before. If 50 kg of rice is consumed by family before, then find the new consumption of family (approx.)
a) 43kg
b) 44kg
c) 45kg
d) 46kg
e) None

10. A man has 4000 rupees in his account two years ago. In the first year he deposited 20 percent of the amount in his account. In the next year he deposited 10 percent of the increased amount in the account. Find the total amount in the account of the person after 2 years.
a) 6650
b) 5280
c) 5740
d) 5840
e) None of these

11. In an election contested by two parties A and B, party A secured 25 percent of the total votes more than Party B. If party B gets 15000 votes. By how much votes does party B loses the election?
a) 8000
b) 10000
c) 12000
d) 15000
e) None

12. A vendor sells 50 percent of apples he had and throws away 20 percent of the remainder. Next day he sells 60 percent  of the remainder and throws away the rest. What percent of his apples does the vendor throw?
a) 20%
b) 22%
c) 24%
d) 26%
e) None

13. 40% of the women are above 30 years of age and 80 percent of the women are less than or equal to 50 years of age. 20 percent of all women play basketball. If 30 percent of the women above the age of 50 plays basketball, what percent of players are less than or equal to 50 years?
a) 50%
b) 60%
c) 70%
d) 80%
e) None

14. Alisha goes to a supermarket and bought things worth rupees 60, out of which 40 paise went on sales tax. If the tax rate is 10 percent, then what was the cost of tax free items?
a) 54.60
b) 55.60
c) 56.60
d) 57.60
e) None of these

15. 60 percent of the employees of a company are women and 75% of the women earn 20000 or more in a month. Total number of employees who earns more than 20000 per month in the company is 60 percent of the total employees. What fraction of men earns less than 20000 per month?
a) 5/8
b) 5/7
c) 1/5
d) ¾
e) None of these

16. In a library, 30% of the books are in History. 50% of the remaining are in English and 40% of the remaining are in German. The remaining 4200 books are in regional languages. What is the total number of books in library?
a) 10000
b) 15000
c) 20000
d) 25000
e) None

17. A got 30% of the maximum marks in an examination and failed by 10 marks. However, B who took the same examination got 40% of the total marks and got 15 marks more than the passing marks. What were the passing marks in the examination?
a) 65
b) 75
c) 80
d) 90
e) None

18. The population of a town is 15000. It increases by 10 percent in the first year and 20 percent in the second year. But in the third year it decreases by 10 percent. What will be the population after 3 years.
a) 16820
b) 15820
c) 17820
d) 19820
e) None

19. 30 litre of solution contains alcohol and water in the ratio 2:3. How much alcohol must be added to the solution to make a solution containing 60% of alcohol?
a) 10
b) 12
c) 14
d) 15
e) None

20. 2000 sweets need to be distributed equally among the school students in such a way that each student gets sweet equal to 20% of total students. Then the number of sweets, each student gets.
a) 50
b) 100
c) 120
d) 150
e) None