AKTAR’S
CLASSWORK: Percentage
Category-01: Basic Percentage
1 1
01. is what percent of ?
2 3
a. 250% b. 150% c. 50% d. None of these
02. Which of the following is the 250% of 1?
a. 0.25 b. 2.5 c. 25 d. 0.025
03. Which of the numbers below is not equivalent to 20%? [BB, Officer-19]
1 20
a. b. c. 0.5 d. 0.2
5 100
04. If 75% of a number is added to 75, then the result is the number itself. The number is:
a. 50 b. 60 c. 300 d. 400 e. None of these
05. Sixty-five percent of a number is 21 less than four-fifth of that number. What is the number?
a. 140 b. 142 c. 144 d. 145
Category-02: Increase/Decrease
06. The price of corn rose 20% two years ago and 15% last year. What is the combined percent increase in
price?
a. 5% b. 17.5% c. 25% d. 35% e. 38%
07. The price of an article was first increased by 10% and then again by 20%. If the last increased price be
Tk. 33, the original price was:
a. Tk. 25 b. Tk. 26.50 c. Tk. 27.50 d. Tk. 30 e. None
08. The radius of a circle is increased by 10%. Then the area is increased by what percent?
a. 100% b. 20% c. 21% d. 10% e. None of these
09. A shirt was marked down 20% the first week and another 20% the next week. What percent of the
regular price was the final cost of the shirt after the two markdowns?
a. 30% b. 36% c. 40% d. 64% e. None of these
10. In one year, the population of a city increased by 20%. The next year, it decreased by 10%. What was
the percentage increase in the population over the two years?
a. 8 b. 10 c. 15 d. 20 e. None of these
11. Shuma receives 10% raise each year for three consecutive years. What was her salary after three raises
if her salary was Tk. 10000 per month?
a. 13105 b. 13310 c. 14520 d. 14109 e. None of these
Category-03: Expense Constant
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12. If oil price increases 25%. Then what will be percentage of reducing oil consumption without
increasing fuel cost?
a. 20% b. 11% c. 16% d. 9% e. None of these
13. After the increase of price of oil by 40%, a family decided to reduce its oil consumption so that the
expenditure for oil goes up by 26% only. If the consumption of oil before the price rise was 10kg per
month, then what is the current consumption of oil per month(in kg)?
a. 8 b. 8.50 c. 9 d. 7.50 e. None of these
Category-04: More/Less (Difference)
14. In a two-candidate election, a candidate who gets 84% of the votes is elected by a majority of 476
votes. What is the total number of votes polled?
a. 848 b. 749 c. 700 d. 672 e. 452
Category-05: Pass Mark
15. In an examination, it is required to get 36% of maximum marks to pass. A student got 113 marks and
declared failed by 85 marks. The examination marks are:
a. 500 b. 550 c. 640 d. 1008 e. None of these
16. In an examination it is required to get 40% of the aggregate marks to pass. A student get 261 marks and
is declared failed by 4% marks. What are the maximum aggregate marks a student can get?
a. 700 b. 730 c. 745 d. 765 e. None
Category-06: Comparison
17. A’s income is 25% more than B’s. B’s income in terms of A’s income is:
a. 33% b. 80% c. 75% d. 86% e. None of these
Category-07: Percentage Equation
18. Mr. X invests Tk. 2,400 in Alamin Bank at 5%. How much additional money must Mr. X invest at 8%
so that the total annual income will be equal to 6% of his/her entire investment?
a. Tk. 1,000 b. Tk. 1,200 c. Tk, 2,400 d. Tk. 3,000 e. Tk. 3,600
19. A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he
make by running between the wickets?
5 6
a. 45% b. 45 % c. 54 % d. 55% e. None of these
11 11
20. You can buy 20 pens for x taka. How many pen can you buy for y taka if the price of the pen is reduced by
20%?
20 y 22 y 25 y
a. b. c. d. None of these
x x x
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HOMEWORK
01. Which of the numbers below is not equivalent to 4%? [Sonali Bank, SO-18]
a. 1/25 b. 4/100 c. 0.40* d. 0.04
02. If the length of a rectangle is increased by 20% and width is decreased by 20%, what is the
change in area of the rectangle? [BB, Officer-19]
a. unchanged b. decreases by 4%* c. increases by 4% d. increases by 5%
03. The length of a rectangle is increased by 25%. By what percentage should the width be
decreased so that the area of the rectangle remains unchanged? [BB, AD-12]
a. 30% b. 25% c. 20%* d. 35% e. None of them
04. Riaz spent 20% of his income on taxes and 20% of the remainder on rent. What percent of his
income has he spent on rent? [BB, AD-11]
a. 12 b. 14 c. 16* d. 18 e. 15
05. The organizers of a fair projected 25% increase of visitors this year over that of the last year
but the actual turnover was 20% less than that of the last year. What percent of projected
visitors attended the fair? [BB, AD-11]
a. 25% b. 45% c. 55% d. 64%* e. 67%
06. On decreasing the price of T.V. sets by 30%, its sale is increased by 20%. What is the effect on the
revenue received by the shopkeeper?
a. 10% increase b. 10% decrease
c. 16% increase d. 16% decrease* e. None of these
07. A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The
percentage of decrease in area is:
a. 10% b. 10.08% c. 28% d. 20%
08. If 1500 is increase by 20% and then reduced by y%, yielding 1080, what is the value of y?
a. 20 b. 30 c. 40 d. 44 e. None of these
09. A retail store regularly sells all stock at a discount of 25% to 40%. If an additional 25% were deducted from
the discount price during a special sale, what would be the lowest possible price of an item costing Tk. 140
before any discount?
a. Tk. 63 b. Tk. 84 c. Tk. 78.75 d. Tk. 49 e. None
10. The edge of a cube increased 10%. What will be the increase on volume?
a. 30% b. 33.10% c. 28% d. 18% e. None of these
11. The price of sugar increases by 20%. By what percent must a housewife reduce the consumption of sugar
so that the expenditure on sugar is the same as before?
a. 80 b. 20 c. 16.66 d. 83.33 e. 15
12. In order to pass an examination, a student is required to get 35% of the maximum marks. If a student
scored a total of 381 marks and failed by 144 marks, determine the maximum marks for the examination.
a. 1350 b. 1500* c. 1750 d. 2000
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13. A candidate scoring 25% marks in an examination fails by 30 marks while another candidate who score
50% marks gets 20 marks more than the minimum pass marks. What is the minimum pass mark?
a. 60 b. 80 c. 200 d. None of these
14. A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains
14% on the whole. The quantity sold at 18% profit is :
a. 400 kg b. 560 kg c. 600 kg d. 640 kg e. None of these
15. If w is 10% less than x, and y is 30% less than z, then wy is what percent less than xz?
a. 25% b. 30% c. 37% d. 39% e. 41%
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) 9% (D) 10%*
17. A man’s basic pay for a 40 hours week is Tk. 20. Overtime is paid for at 25% above the basic rate. In a
certain week he worked overtime and his total wage was Tk. 25. He therefore worked for a total of:
a. 45 b. 47 c. 48 d. 40 e. None
31. In a college, 45% of the students are boys. If 40% of the boys and 20% of the girls went on a picnic, what
percent of the total students went to the picnic?
a. 18% b. 24% c. 29% d. 30% e. None of these
19. Fresh grapes contain 80 percent water while dry grapes contain 10 percent water. If the weight of dry
grapes is 250 kg what was its total weight when it. was fresh?
a. 1000 kg b. 1100 kg c. 1125 kg d. 1225 kg. e. None
20. 60% of the students of a college are male. 60% of the male in the college speak French and 40% of the
students of the college speak French. What percent of the female in the college do not speak French?
a. 40% b. 90% c. 10% d. 36% e. None of these
21. Bus fares were recently increased from Taka 1.70 to Taka 2.00. What was the approximate percentage of
increase? [BB Officer-19]
a. 18% * b. 15% c. 0.15% d. 0.18%
22. Which of the numbers below is not equivalent to 20%? [BB Officer-19]
1 20
a. b. c. 0.5 * d. 0.2
5 100
23. If the length of a rectangle is increased by 20% and width is decreased by 20%, what is the change in area
of the rectangle? [BB Officer-19]
a. unchanged b. decreases by 4%* c. increases by 4% d. increases by 5%
24. Every 3 minutes, 4 litres of water are poured into a 2,000-litre tank, After 2 hours, what percent of the tank
will be full? [BB Officer-19]
a. 0.4% b. 4% c. 8% * d. 12%
25. The percentage increase in the area of a rectangle, If each of its sides is increased by 20%, is: [BB AD-16]
a. 40% b. 42% c. 44%* d. 46%
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