Percentage

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65. In a school with the same number of boys and girls

1/Sth of the girls and 5/6th of the boys are residing in the hostel. What percent of the students consists of boys who do not reside in the hostel?,(A) 1/12 (B) 1/6 (C) 7/48 (D)13/48 (E) None of these

13. Thirty percent of the members of a swimming club have passed the lifesaving test. Among the members who have not passed the test

12 have taken the preparatory course and 30 have not. How many members are there in the swimming club?,(A) 80 (B) 60 (C)100 (D) 120 (E) None of these

26. 40% of the students of a class passed the English test. Among the students who have not passed the test

15 have taken a preparatory course and 33 have not taken the course. How many students are there in the class?,(A) 60 (B) 70 (C) 80 (D) 81 (E) None of these

79. A room has 160 people

15% of whom are women. A group of people, 30% of whom are women leaves the room. If 10% of the people remaining in the room are women, how many people left the room?,(A) 10 (B) 20 (C) 30 (D) 40 (E) None of these

16. In a market survey

20% opted for product A whereas 60% opted for product B, The remaining individuals were not certain. If the difference between those who opted for product B and those who were uncertain was 720, how many individuals were covered in the survey?,(A) 1,200 (B) 1,800 (C) 3,600 (D) 1,440 (E) None of these

5. In a class

25% of the students voted for Mr. X. Two thirds of the remaining students voted for Mr. Y. The remaining 11 students didn't cast their votes, How many students are there in the class?,(A) 64 (B) 44 (C) 36 (D) 22 (E) 16

32. Of the 3

600 employees of Company X, 1/3 are clerical. If the clerical staff were to be reduced by 1/3, what percent of the total number of the remaining employees would then be clerical?,(A) 25% (B) 22.2% (C) 20% (D) 12.5% (E) None of these

20. There are 50 students enrolled in a business school. Of the enrolled students

90% took the final exam. 2/ 3rd of the students who took the final exam passed it. How many students passed the final exam?,(A) 45 (B) 35 (C) 34 (D) 33 (E) 30

96. Mathematically

Force (F) is proportionate to Mass (m) multiplied by Acceleration (a)

44. If the radius of a circle is increased by 100%

by what percent is the area of the circle increased?,(A) 500% (B) 400% (C) 300% (D) 200% (E) 100%

7. What is 10% of y/3

if 2y/3 is 10% of 600?,(A) 1 (B) 2 (C)3 (D) 4 (E) None of these

21. In the football league of 1998

Arambag won 50% of their games. In 1999, Arambag won 65% of their games. If there were twice as many games played in the second season as in the first, what percentage of the games did Arambag win in the 2 years?,(A) 115% (B) 60% (C) 57.5% (D) 55% (E) 40%

3. Three friends shared the cost of a tape recorder. If Andy

Barbara, and Donna each paid Tk. 12, Tk. 30 and Tk. 18 respectively, then Donna paid what percent of the cost of the tape recorder?,(A) 10% (B) 30% (C) 33.1/3% (D) 50% (E) 662/3%

82. What is 0.04 x 0.032 in terms of percent?

(A) 0.0036 (B) 0.036 (C) 0.36 (D) 0.00036 (E) 0.000036

51. Written as a percent 5 =?

(A) 0.50% (B) 500% (C) 5% (D) 50% (E) 5.00%

10. A jar contains marbles of 4 different colors. The number of blue marbles is three times as many as the yellow ones. The number of red marbles is half that of the yellow ones. The number of orange marbles is equal to the number of red ones. What percent of the marbles are orange colored?

(A) 10 (B) 15 (C) 20 (D) 21.5 (E) None of these

22. Mr. X bought a property for Tk. 100000 in 1995. In 1999 he sold the house for 25% more than he paid for it. But he had to pay 50% of his profit to the broker. What was the amount that he paid to the broker?

(A) 10000 (B) 12500 (C) 15000 (D) 17500 (E) None of these

49. A blanket is X meter long and Y meters wide. When washed it lost 12.5% of its length and 10% of its width. What is its percentage loss of area?

(A) 11.50 (B) 22.5 (C)11.0 (D) 11.25 (E) None of these

17. Thirty prizes were distributed to five percent of the contestants. No contestants got more than one prize. The number of entrants in the contest was

(A) 150 (B) 600 (C) 300 (D) 15 (E) 60

92. The price of 1 kg. of sugar was Tk. 60 in April. The price of sugar was increased by 12% in May. The price was again increased by Tk. 3 in July. Calculate the percentage of total increase in the price compared to the price of April.

(A) 17% (B) 21% (C) 22% (D) 22.5% (E) none of these

46. The length and breadth of a room are increased by 20 percent and 25 percent respectively. What is the corresponding percentage increase in the floor area of the room?

(A) 20 (B) 25 (C) 45 (D) 50 (E) 60

38. A football team has won 40 games out of 60 played. It has 32 more games to play. How many of these must the team win to make it a record 75% win for the season?

(A) 20 (B) 25 (C) 29 (D) 32 (E) None of these

91. You can buy 16 pens for y Taka. How many pens can you buy for z Taka if the price of the pen is reduced by 20%?

(A) 20z/y (B) 80y/2 (C) 20y/z (D)(20yz)/16 (E) none of these

75. You can now purchase 5 more bananas with Tk. 75 due to a reduction in price by 20%. Calculate the current price of one dozen of Bananas.

(A) 24 (B) 30 (C) 32 (D) 36 (E) none of these

90. A candidate scoring 25% marks in an examination fails by 30 marks while another candidate who scores 50% marks gets 30 marks more than the pass mark. What is the pass mark?

(A) 33.33 (B) 50 (C) 66.66 (D)70 (E) None of these

41. The price of sugar in 1994 increased by 10% from that in 1993. In 1995 the price decreased by 5% from that in 1994. In 1995 what is the increase in price with respect to the price in 1993?

(A) 4% (B) 4.5% (C) 5% (D) 5.5% (E) 6%

48. The length of a rectangle is increased by 60%. By what percent would the width have to be decreased to maintain the same area?

(A) 40% (B) 50% (C) 60% (D)62.5% (E) None of these

6. Karim bought a ticket to a cricket match for Tk. 25 and later sold the ticket to Rahim for Tk. 75. What was the percent increase in the price of the ticket?

(A) 50% (B) 100% (C)200% (D) 300% (E)400%

15. A box. contains 24 red socks and 43 green socks. How many green socks must be removed from the box so that 60% of the socks in the box will be green?

(A) 6 (B) 7 (C) 8 (D) 9 (E) None of these

71. A litre of water is evaporated from 8 litres of salt solution containing 5% salt. What will be the Percentage of salt in the solution after evaporation?

(A) 6.2 (B) 5.7 (C) 7.2 (D) 4.6 (E) None of these

64. Hasib's weight is 140% of Shawkat's weight. Mowla's weight is 90% of Misha's weight. Misha weighs twice as much as Shawkat. What percent of Hasib's weight is Mowla's weight?

(A) 64|2/7 (B) 90 (C) 77|7/9 (D) 155|5/9 (E) 128|4/7

76. After X% of their games had been played. Abahani had won 40% of their games. They won 30% of the rest of the games. In terms of X which of the following expresses the percentage of games Abahani had won at the end of the season?

(A) 70x (B) (x/10)+30 (C) (x/10)+35 (D) 10x+30 (E) None of these

43. Which of these is NOT a correct way to find 75% of 35?

(A) 75.00 x 35 (B) (75 x 35 ) / 100 (C) (75/100) x 35 (D) (3/4) x 35 (E) .7500 x 35

47. Width of a rectangle is increased by 25% & length is decreased by 25%. New area is what percent of original area?

(A) 90% (B) 100% (C) 93.75% (D) 1.25% (E) None of these

59. An economist estimates that the cost of living will increase by 8.50 percent over the next three years. How much should a piece of candy cost in three years if it cost Tk. 1.50 today?

(A) Tk 12.75 (B) Tk 0.1275 (C) Tk 0.37 (D) Tk l.63 (E) None of these

50. The length of a rectangular plot is increased by 20% and the breadth is decreased by 20%. Then the area of the plot is-

(A) increased by 20% (B) decreased by 4% (C) same as before (D) decreased by 20% (E) increased by 4%

77. The length of a rectangular plot is increased by a certain percentage while the width is decreased by the same percentage. The area of the new plot will

(A) remain the same (B) increase (C) decrease (D) either increase or decrease (E) cannot be determined

83. A number is divided by 3/7and then multiplied by 5/8. The net effect (approx) is

(A) the number decreases by 22% (C) the number decreases by 33% (B) the number increases by 46% (D) the number increases by 33% (E) none of these

60. A colony of 15

000 ants increased by 50% after being fed. Then after 4 weeks without food, the number of ants dropped by 60%. What percentage decline did the original population undergo?,(A) 72.5 (B) 75 (C) 90 (D) 95.5 (E) None of these

36. A company pays a tax of 10% on its first Tk. 100

000 earnings and 15% on all earnings in excess of Tk. 100,000. What will be the amount of tax, in taka, if its earning is Tk. 275,000?,(A) 36,250 (B) 37,500 (C) 35,000 (D) 35,250 (E) None of these

4. If the population of a town was 20

000 in 1970 and 16,000 in 1980, what was the percent decline in the town's population?,(A) 50% (B) 25% (C) 20% (D) 10% (E) 5%

34. Mr. Asif is a potato seller in a local bazaar When he brings potatoes from the village market to his shop in the town he has to pay 7% toll on the portion of the total value of the potatoes in excess of taka 1

000 to the local mastaan. If the amount of toll he paid was taka 87.50 then what was the value of the potatoes that he brought to sell?,(A) Tk 1,250 (B) Tk 2,250 (C) Tk 2,500 (D) Tk 2,750 (E) Tk 2,333

56. This year the school allotted 60% of its budget for development of the computer center and its budget this year is 15% higher than that of the last year. If the last year's budget was Tk. 1

000,000 and the allocation to the computer center has increased by 20% compared that of the last year, calculate the allocation to the computer center last year (in taka).,(A) 500,000 (B) 525,000 (C) 550,000 (D) 575,000 (E) None of these

35. Of 400 students in a graduating class

30 percent were women and, of these, one-fifth became instructors. If the number of men who became instructors was twice the number of women who became instructors, how many of the men became instructors?,(A) 120 (B) 48 (C) 40 (D) 24 (E) None of these

62. In a shop

40% socks are white and rest are black. 60% socks are made of cotton & rest made of wool. 25% white socks are made of cotton and 20 black socks are made of wool. How many black socks are made of cotton?,(A) 100 (B) 80 (C) 60 (D) 50 (E) 25

68. In 1995

45% of a Data Analysis Company's 60 customers were banks, and in 1997, 25% of its 144 customers were banks. What was the percent increase from 1995 to 1997 in the number of bank customers the company had?,(A) 10.7% (B) 58.33% (C) 25% (D) 33.33% (E) None of these

80. Mr. Jaman is insured completely for Tk. 1

50,000 against damages to his machinery. For any damage over Tk 1,50,000, the insurance company will pay Tk 1,50,000 plus only 15% of the additional damage. For a recent accident, Mr. Jaman was paid Tk 1,56,000 by the insurance company. What was the total amount of the damage estimated?),(A) Tk 1,04,000 (B) Tk 90,000 (C) Tk 40,000 (D) Tk 80,000 (E) None of these

61. In January

55 percent of a hospital's 300 patients were women. In February, 30 percent of its 440 patients were women. What was the percent change in the number of women patients from January to February?,(A) Decrease of 20% (B) Increase of 20% (C) Decrease of 25% (D) Increase of 25% (E) Increase of 46.67%

28. At a club

70% of the members are women and 60% of the members are married. If 2/3 of the men is single, what fraction of the women is married?,(A) 5/7 (B) 7/10 (C) 1/3 (D) 7/30 (E) None of these

9. At a company

70% of this year's new employees are graduates of business school and the remainders are graduates of liberal arts colleges. If 550 new employees were hired this year, what is the difference between the number of new business school employees and the number of new liberal arts employees?,(A) 55 (B) 220 (C) 240 (D) 385 (E) None of these

33. In a class of 400 students

72 received A's. If 15% of the male students and 20% of the female students received 'A', then the number of male students in the class is,(A) 160 (B) 175 (C) 180 (D) 300 (E) None of these

87. You can now purchase 5 more bananas with Tk

75 because of reduction in price by 20%. Calculate the current price of one dozen of bananas.,(A) 24 (B) 30 (C) 32 (D) 36 (E) none of these

66. The import duty on a car is 50% of its cost. An additional supplementary tax of 30% is charged on the cost plus import duty. If the total of import duty and supplementary tax is Tk. 2

85,000, what is the cost of the car?,(A) 3, 00,000 (B) 3, 20,000 (C) 3,75,000 (D)4,00,000 (E) None of these

27. Last year 60 students enrolled in the Business communication course. Of the enrolled students

90% took the final exam. Two -thirds of the students who took the final exam passed the final exam. What percentage of the enrolled students did not pass in the exam?,(A) 4Q% (B) 45% (C) 60% (D) 75% (E) cannot be determined

i.e. symbolically

F a m * a. If an object increases its acceleration by 10%, and loses 5% of its mass, by how much will the resultant force change?,(A) Increase by 5% (B) Decrease by 5% (C) Increase by 4.5% (D) Decrease by 4.5% (E) No change

25. Last year

Mr. X saved 10% of his annual earnings. This year he earned more than last year and he saved 12% of his annual earnings. If the amount saved this year is 126% of the savings of previous year, how much more did he earn this year?,(A) 2% (B) 5% (C) 7.5% (D) 10% (E) None of these

73. Recently

Sohan's hourly wage has been increased by 10 percent. Before this increase, Sohan's total weekly age was Taka 1370. If his weekly hours 'were to decrease by 10 percent from last week's total hours, what would be the change in Taka, if any, in Sohan's total weekly wage?,(A) An increase of 13.70 (B) An increase of 5.5 (C) No Change (D) A decrease of 13.70 (E) None of these

89. Recently

Sohan's hourly wage has been increased by 10 percent. Before this increase, Sohan's total weekly wage was $ 137. if his weekly hours were to decrease by 10 percent from last week's total hours, what would be the change, if any, in Sohan's total weekly wage?,(A) An increase of $ 1.37 (B) An increase of $ 0.55 (C) No change (D) A decrease of $ 0.55 (E) A decrease of $ 1.37

67. This year

a city has allotted 60 percent of its budget for school expenditures, and its budget is 15 percent higher than last year's budget of n dollars. In terms of n, how many dollars of this year's budget has the city allotted for school expenditures?,(A) (0.6) (0.85n) (B) (0.6) (1.15n) (C) (0.6) / (1.15n) (D) 0.85n / 0.6 (E) (n /1.15) + 0.6n

40. Due to booming business

a company increased its staff salary by 25%. By what percent must it now decrease the salary to return to the original amount?,(A) 22.5 (B) 20 (C) 18 (D) 15 (E) None of these

37. In a season

a football team has won 30 games out of 50 played. It has 46 more games to play. How man of these must the team win to make its record of 75% wins of season?,(A) 24 (B) 32 (C) 36 (D) 42 (E) 46

86. In a sample of 900 university students

all students are either freshmen or sophomores or junior or seniors, 24 percent are juniors and 72 percent are not sophomores. If there are 144 seniors, how many more freshmen than sophomores are there among the sample of students?,(A) 252 (B) 36 (C) 48 (D) 288 (E) None of these

63. A sales person earns as commission 5% on all sales between Tk. 2000 and 6000

and 8% on all sales over Tk. 6000. If in a week his commission is Tk. 460, what were his total sales?,(A) 8000 (B) 9000 (C) 10000 (D) 12000 (E) None

30. A sales person earns a commission of 5% on all sales between Tk. 2000 and Tk. 6000

and 8% on all sales over Tk. 6000. What is his total commission in a week in which his sales total Tk. 10,000?,(A) 500 (B) 540 (C) 620 (D) 720 (E) None of these

55. The average price of a new car increased by 20% from 1990 to 1995

and again increased by 20% from 1995 to 2000. If the average price of a new car was Tk. 450,000 in 1995, what is the difference in average price of a car between year 1990 and 2000?,(A) Tk. 120,000 (B) Tk. 145,000 (C) Tk. 165,000 (D) Tk. 175,000 (E) None of these

24. The salary of Mr. X is 33.33% more than that of Mr. Y

and the salary of Mr. Y is 25% less than that of Mr. Z. If the salary of Mr. Z is Tk. 20000, what is the salary of Mr. X?,(A) 20000 (B) 18000 (C) 17500 (D) 15000 (E) None of these

39. If the price of onion goes up by 25%

by how much should usage be reduced in order to keep the total expense for onion as before?,(A) 33 ^ % (B) 25% (C) 20% (D) 24% (E) 17 ^ %

94. If the length of each sides of three square garden plots is increased by 50%

by what percent is the sum of the areas Of the three plots increased?,(A) 375% (B) 200% (C) 150% (D) 125% (E) 50%

14. In a certain shipment 2% of the boxes shipped were damaged. If the loss per damaged box was Tk. 35 and the total loss due to damage was Tk. 700

how many boxes were shipped?,(A) 20 (B) 100 (C) 200 (D) 1000 (E)2000

23. A trader purchased some pens for Tk. 8 and some pencils for Tk. 4.5 a piece respectively. If he purchased a total of 12 pens and pencils for Tk. 82

how many pens did he purchase?,(A) 6 (B) 7 (C) 8 (D) 9 (E) None of these

18. A machine is producing 800 units per minute. If its productivity fall by a half percent

how many units will it produce now?,(A) 4 (B) 40 (C)400 (D) 800 (E) None of these

74. The price of a pen is twice that of a pencil. If the price of the pen is increased by 5% and that of the pencil is decreased by 4%

how much more or less (in percentage) will it cost to buy 5 pens and 5 pencils?,(A) 2% less (B) 2.5% less (C) 2.5% more (D) 2% more (E) None of these

52. Price of a hammer is twice that of a screwdriver. If price of a hammer is raised by 5% & the price of a screwdriver is decreased by 4%

how much more or less will it cost to buy 3 screwdriver & 3 hammers?,(A) 2% more (B) 2% less (C) 4% more (D) 4% less (E) None of these

88. Jalal started work 2 years ago. His starting salary was xh of Millat's salary at that time. Each year since then Jalal has received a raise of 5% in his salary and Millat has received a raise

of 10% in his salary. What percentage (to the nearest percent) of Millat's current salary is Jalal's current salary?,(A) 45 (B) 46 (C) 48 (D) 50 (E) 220

53. In a store

the 53. ratio of red socks to green socks is 3:2. The socks are made of either cotton or wool. If 60% of the red socks are made of cotton and 80% of the green socks are made of wool, what percentages of socks are made of cotton?,(A) 44 (B) 48 (C) 50 (D) 52 (E) None of these

97. A store charges Tk 52 for a video game. This price is 30% greater than the store's cost to buy the game from its supplier. As an incentive to the store's clerks

the manager allows a clerk to purchase the video game for 10% less than the store's cost. How much would a store clerk have to pay for this video game?,(A) Tk 15.60 (B)Tk 20.80 (C)Tk 31.20 (D) Tk 32.76 (E) Tk 36.00

12. If the price of a product is increased by 15% then the seller would get Tk 450 more. If instead

the price were increased by 10% then how much more would he get?,(A) 150 (B) 200 (C) 300 (D) 325 (E) None of these

93. Kalim is asked to write a study guide for a textbook. For his work

the publishing company is giving him a choice of a one-time payment of Tk 13,375 or Tk 2,000 plus 10% royalties per copy sold. If the proposed royalty rate results in a royalty of Tk 3.25 per study guide sold, how many study guides need to be sold for the total income received by Kalim to be the same from either choice?,(A) 3,250 (B) 3,437 (C) 3,500 (D) 3,550 (E) none of these

54. The total price for a watch and a chain is Tk. 500. If the price of the watch increases by 10% and that of the chain by 5%

the total price becomes Tk. 545. What is the price of the chain?,(A) 75 (B)80 (C)100 (D)120 (E)125

57. If 20% of x is 30% of y and xy * 0

then percent of y is x?,(A) 10% (B) 6% (C) 90% (D) 150% (E) None of these

84. The price of sugar increases by 32%. A family reduces its consumption so that expenditure of the sugar is up by 10% only. If the total consumption of sugar before the price rise was 10 kg per month

then the consumption of sugar per month is approximately?,(A) 8.33 kg (B) 8.5 kg (C) 8.35 kg (D) 8.75 kg (E) None of these

31. If the sales tax on an appliance priced at 300 is between 5 percent and 8 percent

then the cost (price plus sales tax) of the appliance is-,(A) 310 (B) 312 (C) 314 (D) 318 (E) 325

70. You have to pay 15% tax on a Mercedes car and 20% tax on a BMW car. If the price of BMW is 20% more than that of the Mercedes

then the tax paid for a BMW is what percent of the tax paid for Mercedes?,(A) 120 (B) 133.33 (C) 145 (D) 160 (E) None of these

95. A restaurant meal had cost Tk 35.50 and there was no tax. If the service charge was more than 10 percent but less than 15 percent of the cost of the meal

then the total amount paid must have been between Tk -,(A) 40 and 42 (B) 39 and 41 (C) 36 and 42 (D) 37 and 39 (E) 36 and 37

2. If a jar contains 24 white marbles and 48 black marbles

then what percent of all the marbles in the jar are black?,(A) 20% (B) 25% (C) 33.1/3 % (D) 60% (E)66.2/3%

69. Last year

there were 1172 students at Beaton High School. This year there are 15 percent more students than last year. Approximately how many students are at Beaton High School this year?,(A)1800 (B)1600 (C)1500 (D)1400 (E)2000

58. A union contract specifies a 6% salary increase plus a Tk 450 bonus for each employee. For a certain employee

this is equivalent to an 8 percent increase in total salary. What was the employee's salary in taka before the new contract?,(A) 21500 (B) 22500 (C) 23500 (D) 24000 (E) None of these

19. Mr. X bought 400 shares of Tk. 25 each at Tk. 32.5. If the dividend declared is 4%

what is his income on the shares?,(A) 1000 (B) 400 (C) 800 (D) 200 (E) None of these

45. The length and width of a rectangle are 15 meters and y meters respectively. If the length is reduced by 10% and the width is increased by 10%

what is the change in area of the rectangle?,(A) Increase by 1% (B) Remains the same (C) Decrease by 10% (D) Decrease by 1% (E) Cannot be determined

11. The cost of a pen is 20% more than that of a book and the cost of a CD is 3/4 as much as the cost of the pen. If the cost of the pen is Tk. 90 more than that of the CD

what is the cost of the book in taka?,(A) 120 (B) 126 (C) 192 (D) 200 (E) none of these

8. If 55 percent of the people who purchase a certain product is female

what is the ratio of the number of females who purchase the product to the number of males who purchase the product?,(A) 11/9 (B) 10/9 (C) 9/10 (D) 9/11 (E) 5/9

85. The surface of a certain planet reflects 80 percent of the light that strikes it. If the clouds around the planet absorb 40 percent of the reflected light

what percent of the light that strikes the planet is reflected from the surface that passes through the clouds without being absorbed?,(A) 32% (B) 40% (C) 48% (D) 60% (E) None of these

72. If x is 30% greater than y

what percent of y is x?,(A) 70 (B) 77 (C)120 (D) 130 (E) None of these

29. Karim received a 10% raise each month for 3 consecutive months. If his salary after the 3 raises is 13310

what was his starting salary?,(A) 9000 (B) 10000 (C) 11000 (D) 12000 (E) None of these

42. The price of sugar in the year 1995 increased by 10% from that of the previous year. In 1996 the price decreased by 5%. In 1996

what was the increase in price with respect to that of 1994?,(A) 5.5% (B) 5% (C) 4.5% (D) 4% (E) None of these

78. In a factory X out of every Y items produced were found to be defective. If 5% of the items produced during a day were found to be defective

what was the total number of items produced that day?,(A) x/.05 (B) 95x (C) 20x/y (D)20y (E) None of these

81. If m>0 and x is m percent of y

y is what percent of x? (Wrong ans. In answer sheet),(A) 100m (B) l/100m (C) 1/m (D) 10/m (E) None of these


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