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## Basic Definition of Percentage

The word per cent means out of every hundred. The symbol % is used to term per cent. Thus 5 percent is written as 5% it meant 5 out of 100. In ratio form it may be written as 5/100.

## Model Questions on Percentage

1. During Diwali, Raman is offered a discount of 20% and a STB worth Rs 3500 free with a new Television set. Raman does not want STB and so asks the shopkeeper to deduct the price of STB from his bill. But the shopkeeper deducts only 75% of the cost of STB. Raman finally paid Rs 8975. Had the shopkeeper sold the TV at the market price, he would have made a profit of 25%. What is his percentage loss in the TV?
A. 18.4%
B. 20.6%
C. 22.6%
D. 24.4%

2. If the length of a rectangle is increased by 10% and the area is unchanged, then by how much per cent does the breadth decrease?
A. 7%
B. 8%
C. 9%
D. 10%

3. If 30% of A is added to 40% of B, the answer is 80% of B. What percentage of A is B?
A. 30%
B. 40%
C. 70%
D. 75%

4. The population of a village increases by 20% in one year and decrease by 20% by the next year. If at the beginning of the third year, the population is 5184, what was the population in the first year?
A. 5400
B. 5500
C. 5600
D. 5800

5. The salary of a person is reduced by 20%. To restore the previous salary, his present salary is to be increased by
A. 20%
B. 25%
C. 17.5%
D. 22.5%

6. There are some coins and rings of either gold or silver in a box. 60% of the objects are coins, 40% of the rings are of gold and 30% of the coins are of silver. What is the percentage of gold articles?
A. 16%
B. 211%
C. 58%
D. 710%

7. If the radius of the base and the height of a right circular cone are increased by 20%, then what is the approximate percentage increase in volume?
A. 60%
B. 68%
C. 713%
D. 315%

8. 10% of the inhabitants of a certain city left that city. Later on 10% of the remaining inhabitants of that city again left the city. What is the remaining percentage of population of that city?
A. 80%
B. 80.4%
C. 80.6%
D. 81%

9. The number of workers in the employment guarantee scheme increased by 15 which resulted into an increase of 20%. What was the initial number of workers?
A. 60
B. 75
C. 80
D. 90

10. Salary of a person is first increased by 20%, then it is decreased by 20%. Percentage change in his salary is:
A. 4% decreased
B. 4% increased
C. 8% decreased
D. 20% increased

11. A person spends 30% of monthly salary on rent, 25% on food, 20% on children’s education and 12% on electricity and the balance of Rs 1040 on the remaining items. What is the monthly salary of the person?
A. Rs 3000
B. Rs 9000
C. Rs 9600
D. Rs 10600

12. If salary of X is 20% more than salary of Y, then by how much percentage is salary of Y less than X?
A. 25
B. 20
C. 16.5
D. 16.25

13. If the height of a cone is increased by 50%, then what is the percentage increase in the volume of the cone?
A. 33.33%
B. 40%
C. 50%
D. 66.66%

14. 38L of milk was poured into a tub and the tub was found to be 5% empty. To completely fill the tub, what amount of additional milk must be poured?
A. 1L
B. 2L
C. 3L
D. 4L
15. To an examination, a candidate needs 40% marks. All questions carry equal marks. A candidate just passed by getting 10 answers correct by attempting 15 of the total questions. How many questions are there in the examination?
A. 25
B. 30
C. 40
D. 45

## Read More Questions on Aptitude

16. The income of A is 20% higher than that of B. The income of B is 25% less than of C. What percent less is A’s income from C’s income?
A. 7%
B. 8%
C. 10%
D. 12.5%

17. What is the number whose 20% is 30% of 40?
A. 90
B. 80
C. 69
D. 50

18. An employee is required to contribute 10% of his payment to General Provident Fund. If he gets Rs 13500 as net pay in a month, then what is the monthly General Provident Fund contribution (assuming no other deductions}?
A. Rs 1215
B. Rs 1350
C. Rs 1500
D. Rs 1650

19. 28% members of a certain group are married. What is the respective ratio between the number of married members to the number of unmarried members?
A. 1:17
B. 5:18
C. 7:18
D. Cannot be determined
E. None of these
20. 52% students from a college participated in a survey. What is the respective ratio between the numbers of students who did not participate in the survey to the number of students who participated?
A. 11:13
B. 12:13
C. 12: 17
D. Cannot be determined
E. None of these

21. The difference between 55% of a number and 14% of the same number is 8610. What is 85% of that number?
A. 17850
B. 15820
C. 17020
D. 18450
E. None of these

22. Animesh got 102 marks in Hindi, 118 marks in Science, 104 marks in Sanskrit, 1 14 marks in Maths and 96 marks in English. The maximum marks of each subject are 120. How much overall percentage of marks did Animesh get?
A. 89
B. 82
C. 77
D. 71
E. None of these

23. In an examination it is required to get 55% of the aggregate marks to pass. A student gets 520 marks and is declared Failed by 5% marks. What are the maxim um aggregate marks a student can get?
A. 960
B. 1250
C. 1040
D. Cannot be determined
E. None of these

24. The product of 5% of a positive number and 2% of the same number is 2| 1.6. What is half of that number?
A. 230
B. 460
C. 920
D. 115
E. None of these

25. In an examination, the maximum aggregate marks a 1020. In order to pass the exam a student is required to obtain 663 marks out of the aggregate marks. Shreya obtained 612 marks. By what percent did Shreya fail the exam?
A. 5%
B. 8%
C. 7%
D. Cannot be determined
E. None of these

26. Madhur got 101 marks in Hindi, 100 marks in Science, 96 marks in Sanskrit, 108 marks in Maths and 78 marks in English. If the maximum marks of each subject is equal and if Madhur scored 84 per cent marks in all the subjects together, what is the maximum marks of each subject?
A. 110
B. 120
C. 115
D. 100
E. None of these

27. The product of 5% of a positive number and 3% of the same number is 504.6. What is half of that number?
A. 299
B. 340
C. 639
D. 530
E. None of these

28. In an examination, the maximum aggregate marks that a student can get are 1040. In order to pass the exam, a student is required to get 676 marks out of the aggregate marks. Mina got 624 marks. By what per cent did Mina fail in the exam?
A. 5%
B. 8%
C. 7%
D. Cannot be determined
E. None of these

29. If 80% of A = 50% of B and B = x% of A, then the value of x is:
A. 400
B. 300
C. 160
D. 150

30. If a number x is 10% less than another number y and y is 10% more than 125, then x is equal to:
A. 150
B. 143
C. 140.55
D. 123.25

31. The ratio of the number of boys to that of girls in a village is 3 : 2. If 30% of boys and 20% of girls appeared in an examination, the ratio of the number of villagers, appeared in the examination to that not appeared in the same examination is
A. 9:14
B. 23:27
C. 1:1
D. 27:23