# PERCENTAGE by RamSingh20

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PERCENTAGE
Find the following:-
1) 25% of 300                       6) 33.33% of 540
2) 30% of 400                       7) 12.5% of 480
3) 49% of 800                       8) 80% of 550
4) 56% of 1200                      9) 37.5% of 600
5) 66.66% of 750                    10) 16.66% of 1800

Given a number 1500, find:-
1) 1%                       6) 76%
2) 10%                      7) 53%
3) 28%                      8) 91%
4) 33%                      9) 87%
5) 69%                      10) 83.33%

LEVEL – 1

1) A is 75% of B, then B is ____% of A.

2) A is 125% of B, then B is ____% of A.

3) A number is increased by 30% and then decreased by 30%. Find the percentage change in
the number.

4) A number is decreased by 50% and then increased by 50%. Find the percentage change in
the number.

5) A number is increased by 30% and then increased by 20%. Find the percentage change in
the number.

6) The price of a commodity increases by 100%. By what percent should we reduce the
consumption to keep the expenditure constant?

7) The length and breadth of a rectangle increase by 10%and 20% respectively. Find the
percentage change in the area.

8) The price of a commodity increases by 20%, while the expenditure increases by 8%. Find
the percentage change in the consumption.

9) A and B are 25% and 50% more than C. A is ___% of B.

10) By what percent should the price of an article be increased/decreased if there is a 20%
increase in expenditure and 20% decrease in consumption.
LEVEL – 2

11) A scored 32% marks and failed by 30 marks while B scored 43% marks and scored 25
marks more than required to pass. Find the total marks for the paper.
1. 450             2. 500                   3. 600                    4. 750

12) In the previous problem, the pass percentage is
1. 35%               2. 40%                  3. 38%                  4. 34%

13) The lenghth and breadth of a room are increased by 25% and 40% respectively, while the
height is decreased by 20%. Find the percentage change in the volume of the room.
1. 30%               2. 45%                 3. 40%                 4. 56%

14) A 200 lt mixture of milk and water contains 40% water. How much more water should be
added to make the percentage share of water as 70%?
1. 100 lt           2. 60 lt                3. 150 lt            4. 200 lt

15) A candidate X secured votes of 65% voters on the voters list and won by 1600 votes. If
there are only two candidates and 10% of the voters did not vote, find the total number of
voters on the voter list.
1. 3000              2. 3500        3. 4000         4. 5000

LEVEL – 3

16) Forty percent of the employees of a certain company are men, and 75 percent of the men
more than Rs. 25,000 per year. If 45 percent of the company's employees earn more than Rs.
25,000 per year, what fraction of the women employed by the company earn Rs. 25,000 year or
less'?
1. 2/11                  2. 1 /4                  3. 1/3                4.3 /4

17) The tax on a commodity is diminished by 25% and its consumption
increases by 20%. Now, a person can save what per cent more/less from
before?
1. 10% more                            2. 10% less
3. cannot be determined        4. None of these

18) The owner of an art shop conducts his business in the following
manner: Every once in a while he raises his prices by X%, then a while
later he reduces all the new prices by X%. After one such up-down cycle,
the price of a painting decreased by Rs 441. After a second up-down cycle
the painting was sold for Rs 1944.81. What was the original price of the
painting?
1. 2756.25                2. 2256.25             3. 2500 4. 2000

19) A college has raised 75% of the amount it needs for a new building
by receiving an average donation of Rs 600 from the people already solicited.
The people already solicited represent 60% of the total people the college
will ask for donations. If the college is to raise exactly the amount needed
for the new building, what should be the average donation from the remaining
people to be solicited?
1. Rs.300                2. Rs.250                3. Rs.400                4. Rs.500

20) A, B and C went to buy ration from a wholesale market. They had
a combined sum of Rs.900. A spent 80%, B spent 70% and C spent 75%
of their respective amounts. Now the ratio of amounts left with them is
4 : 9 : 10. Find the ratio of amounts they had in the beginning.
1. 2 : 4 : 3               2. 3 : 4 : 2            3. 5 : 2 : 2         4. 2 : 3 : 4

21) Fresh grapes contain 90% water, rest is pulp, while dried grapes contain 20% water. How
many kgs of dried grapes can we make from 20 kgs of fresh grapes?
1. 2 kg         2. 1.6 kg               3. 2.5 kg                 4. 2.4 kg

The proportion of male students and the proportion of vegetarian students in a school are given
below. The school has a total of 800 students, 80% of whom are in the Secondary Section and rest
equally divided between Class 11 and 12.

Male (M)                 Vegetarian (V)
Class 12                                         0.60
Class 11                                         0.55                         0.50
Secondary Section                                                             0.55
Total                                             0.475                       0.53

22. What is the percentage of male students in the secondary section?

(1) 40 (2) 45 (3) 50 (4) 55 (5) 60

23. In Class 12, twenty five per cent of the vegetarians are male. What is the difference between
the number of female vegetarians and male non-vegetarians?

(1) less than 8 (2) 10 (3) 12 (4) 14 (5) 16

24. What is the percentage of vegetarian students in Class 12?

(1) 40 (2) 45 (3) 50 (4) 55 (5) 60

25. In the Secondary Section, 50% of the students are vegetarian males. Which of the following
statements is correct?

(1) Except vegetarian males, all other groups have same number of students.
(2) Except non-vegetarian males, all other groups have same number of students.
(3) Except vegetarian females, all other groups have same number of students.
(4) Except non-vegetarian females, all other groups have same number of students.
(5) All of the above groups have the same number of students.

26) The length, breadth and height of a room are in the ratio 3:2:1. If the length and breadth
are halved and the height is doubled, then the total area of the four walls will
1. remain the same           2. decrease by 13.64%              3. increase by 15%
4.decrease by 18.75%         5. decrease by 30%
27) In 1978, a kg of paper was sold at Rs.25/-. If the paper rate increases at 1.5% more than
the inflation rate which is 6.5% a year, then what will be the cost of a kg of paper after 2
years?                                                                              1. 29.12
2. 29.72                 3. 30.12                 4. 32.65

28) A student gets 70% in one subject, 80% in the other. To get an overall of 75% how much
should get in third subject, if the 3rd paper is for 50 marks.
1. 75                2. 40                       3. 37.5             4. 45

Averages
Find the AM of:-
1) 21, 22 and 26
2) 45, 34, 11, 26 and 84
3) 1, 3, 5, 7,…, 19
4) 1, 2, 3, …, 40
5) 22, 24, 26,…, 50

Find the GM of :-
1) 4 and 9
2) 12, 9, 16
3) 1, 2, 4, 8
4) 16 and 25
5) 1, 2, 3, 4, 5

Find the median for 1) 31, 54, 11, 12, 89, 901, 100.
2) 12, 78, 54, 1, 3, 9.

Find the mode for 1) 2, 6, 8, 9, 1, 3, 10, 1, 3, 4, 8, 4, 10, 3.
2) 1, 2, 3, 4, 5

LEVEL – 1
1) Find the average of the first 10 whole numbers.

2) The average of 12 numbers is 32. What will be the average if one more number
whose value is 32 is added to the group.

3) The average age of a group of 10 students is 11 and that of another group of 6
students is 19. Find the average of the combined group.

4) The average of 8 numbers is 12. Find the square of their sum.

5) Find the AM, HM and GM of 1, 2 and 4 and arrange them in ascending order.

6) Two years ago, the average age of 5 brothers was 12. Find the present average.
7) The average of 4 numbers is 12 and that of the first three is 11. Find the fourth
number.

8) The average of 4 numbers is 12 and that of the first two is 11. Find the fourth
number.

9) Of the three numbers, A, B and C, A is twice as much as B and B is triple of C.
The average of these three numbers is 20. Find A, B and C.

10) The average of 10 numbers is 10. What will be the new average if each of the first
five numbers is increased by 4.

LEVEL – 2
11) The average weight of a class of 20 students is 49 kgs. If two students with
weights 51 and 54 are replaced by two new students with weights 80 and 74
respectively, find the new average of the class.
1. 47               2. 50         3. 51                  4. Cannot be determined

12) The average age of a class of 20 students is 12. If the teacher joins the group the
average increases by 2. Find the age of the teacher.
1. 40              2. 54          3. 24                    4. 44

13) While traveling from Bombay to Goa, the speed of a car is 80 kmph and while
returning, the speed is 120 kmph. Find the average speed of the car throughout the
journey.
1. 100 kmph         2. 110 kmph 3. 90 kmph              4. 96 kmph

14) In what ratio should coffee at Rs.120 per kg be mixed with coffee at Rs.190 per
kg to get a mixture priced at Rs.145 per kg.
1. 7 : 4            2. 9 : 5       3. 5 : 9             4. Cannot be determined

15) The average salary of 15 officers is Rs.12000 and the average salary of non-
officers is Rs.4000. Find the total number of employees if the average salary of
the firm is Rs.7000.
1. 40               2. 25          3. 30                4. 50

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