31 . A person makes a profit of 10% on 25% of the quantity and a loss of 20% on the rest. What is the percentage gain or loss on the whole?

A. 10%
B. 12.5%
C. -12%
D. 25%
E. None of these

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Answer: Option B

Explanation:

Suppose cost price  =  100 Tk.
Gain on 25Tk  =  2.50 Tk  =  Selling price  =  25   +  2.50  =  27.50 TK 
Loss on 75 Tk  =  15 Tk Selling price  =  75  -  15  =  60 Tk 
Total selling price  =  60   +   27.50  =  87.50 
Loss  =  100  -  87.50  =  12.50

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32 . A rectangle is 14 cm long and 10 cm wide . If the length is reduced by x cms and its width is increased also by x cms so as to make it a square, then its area changes by :

A. 4
B. 144
C. 12
D. 2
E. None of these

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Answer: Option A

Explanation:

Area = 14 × 10 = 140 sq.cm

New length = ( 14 - x)

New width = ( 10 + x)

14 - x = 10 + x

2x = 4

x = 2

New Area = ( 14 - 2) × ( 10 + 2) = 144

change is area = ( 144 - 140) sq.cm = 4 sq.cm

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Bangladesh Bank - Assistant Director - 2009

A. 17
B. 19
C. 20
D. 21

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Answer: Option B

Explanation:

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Bangladesh Bank - Assistant Director - 2006

A. 40%
B. 50%
C. 60%
D. 66.66%

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Answer: Option B

Explanation:

This can be done easily by the following way.

যেহেতু ফারুকের দুই. Assistant তার সমান কাজ করবে ( 1/2 each), so total কাজ করতে তিনজনের মোট 20/2 = 10 দিন লাগবে।

So 5 days এ 50% কাজ হবে।

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35 . For what percentage of profit per annum by which Tk. 12000 will be Tk. 17760 as profit-principal in 6 years?

A. 3%
B. 5%
C. 8%
D. 10%

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Answer: Option C

Explanation:

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A. 25%
B. 33.33%
C. 45%
D. 66.66%

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Answer: Option C

Explanation:

9x = 36

x = 4

So, 11x = 44

Percentage of female = 36/36 + 44 = 45%

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37 . If An organization increases its staff salary by 25% . By what percent must it now decrease the salary to return to the original amount ?

A. 15
B. 18
C. 20
D. None of these

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Answer: Option C

Explanation:

Let's consider the salary of an officer to be 100.
So, If the salary is increased by 25%, then the new salary - 100 + [100 × (25/100) ] = 100 + 25 = 125
So, his new salary is 125
To make his salary original 25 must be subtracted from 125, then his salary will be 125 - 25 = 100 or original salary.
So, To find the percentage of salary which must be decreased we must find that 25 is what percentage of 125.
So, decrease% = (25/125) × 100 = 1/5 × 100 = 20%
Answer) 20% of his new salary must be deducted so that his salary becomes Original.

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Bangladesh Bank - Assistant Director - 2001

A. unchanged
B. increases by 4%
C. increases by 5%
D. decreased by 4%

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Answer: Option D

Explanation:

Let's assume the length of the rectangle is L and the width is W.

Then the original area of the rectangle = L x W

After the increase in length by 20%, the new length = L + 0.2L = 1.2L
After the decrease in width by 20%, the new width = W - 0.2W = 0.8W

So, the new area of the rectangle = (1.2L) x (0.8W) = 0.96LW

Therefore, the new area of the rectangle is 96% of the original area.

Answer: 96% of the original area.

decreased by 4%

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Bangladesh bank - officer ( general) - 27.04.2018

A. 44%
B. 24%
C. 36%
D. 40%
E. None of these

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Answer: Option A

Explanation:

Short - cut Formula :

A + B + AB/100

20 + 20 ( 20× 20) / 100 = 44

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Bangladesh Bank - Assistant Director - 2009

A. 1.11
B. 101.1
C. 11.1
D. 111.1

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Answer: Option D

Explanation:

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41 . In a class 75% passed in English, 60% in Mathematics and 25% failed in both the subjects. What is the percentage who passed in both subjects?

A. 60%
B. 55%
C. 50%
D. 45%

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Answer: Option A

Explanation:

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জনতা ব্যাংক || অফিসার (আরসি) (28-06-2024) || 2024

A. 60
B. 50
C. 40
D. 30

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Answer: Option C

Explanation:

Promoted = 60 × (2/5) = 24
Terminated = 12
Remain = 60 - 36 = 24
Percentage = 24 × 100/60 = 24 × (5/3) = 40%[Answer]

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Bangladesh Bank - Assistant Director - 2001

A. 80
B. 75
C. 70
D. 65

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Answer: Option A

Explanation:

The percentage of male employees = ( 4/5 )x100 = 80.

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Bangladesh Bank - Assistant Director - 2001

A. 4.4% increase
B. 3.2%decrease
C. 3.5% decrease
D. None of these

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Answer: Option B

Explanation:

±a±b+(ab)/100

=10-20-(10×20)/100

=-12%

Again,

±a±b+(ab)/100

=-12+10-(12×10)/100

=-3.2% [- means decrease]

(ans).

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Three Combined Bank Recruitment - Senior Officer 03 .08.2018 ||

A. 22.5%
B. 20.5%
C. 25.2%
D. 25%

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Answer: Option D

Explanation:

1/3th of 3600 = 3600 × 1/3 = 1200 জন

এখন, 1200 জনের 1/3 অংশ = 400 জন

এই 400 জন চাকরিচ্যূত করা হলে অফিসে কর্মকর্তা কর্মচারী থাকে ( 3600 - 400) বা 3200 জন।

অপরদিকে করণিক সেকশনে থাকে ( 1200 - 400) বা 800 জন।

তাদের % = 800/3200 × 100% = 25%.

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Bangladesh Bank - Assistant Director - 2010

31 . A person makes a profit of 10% on 25% of the quantity and a loss of 20% on the rest. What is the percentage gain or loss on the whole?

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32 . A rectangle is 14 cm long and 10 cm wide . If the length is reduced by x cms and its width is increased also by x cms so as to make it a square, then its area changes by :

33 . Due to reduction in the bus fare by 15%, the number of passengers on a certain route increased by 40% then what will be the percentage increase in revenue?

34 . Faruk can complete a task in 20 days. He gets 2 assistants- each of whome can work as fast as he does. If all of them work together for 5 days, what percentage of the task will be complete?

35 . For what percentage of profit per annum by which Tk. 12000 will be Tk. 17760 as profit-principal in 6 years?

36 . If 36 students in a class are female and the ratio of female students to male students is 9 : 11, what percentage of the class is female?

37 . If An organization increases its staff salary by 25% . By what percent must it now decrease the salary to return to the original amount ?

38 . If the langth of a rectangle is increased by 20% and width is decreased by 20% what is the change in area of rectangle ?

39 . If the length and width of a rectangular garden plot were each increased by 20 percent. What would be the percent increase in the area of the plot ?

40 . If x is 90% of y then what percent of x is y?

41 . In a class 75% passed in English, 60% in Mathematics and 25% failed in both the subjects. What is the percentage who passed in both subjects?

42 . In a group of 60 probationary officers, 40% of them were promoted, 12 of them were terminated and rest to them were placed on probation for the second time. What percent of the probationary officers were placed on probation for the second time ?

43 . In an office, the ratio of female to male employees is 1:4 . What percentage of the employees are male ?

44 . Increasing the original price of an item by 10% , then decreasing by 20% and then again increasing the price by 10% is equivalent.

45 . Of the 3,600 employees of ABC Ltd, 1/3 are clerical . If clerical staff were to be reduced by 1/3,what percent of the total number of the remaining employees would then be clerical ?

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