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Percentage (Moderate)

Description: BANK PO PERCENTAGE
Number of Questions: 15
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Tags: BANK PO PERCENTAGE Percentages Percentage
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A’s salary increased by 35% and subsequently, decreased by 35%. How much percentage loss is there in his salary?

  1. 10%

  2. 12%

  3. 12.25%

  4. 0%

  5. None of these


Correct Option: C
Explanation:

Using trick,

Percentage loss in his salary = 35 x 35/100

= 12.25%

If A’s age is 15% less than B, then B’s age is how much percentage more than A?

  1. 15%

  2. 15.65%

  3. 17%

  4. 17.65%

  5. None of these


Correct Option: D
Explanation:

By using the formula,

B's age is more than A's age by P/(100 - P) x 100.

 = 15/(100 - 15) x 100 = 17.65%

If P's earning is 40% more than Q, then Q's earning is how much percentage less than P?

  1. 28.6%

  2. 28%

  3. 60%

  4. 60.6%

  5. None of these


Correct Option: A
Explanation:

By using trick,

Q is less than by P = P/(100+P)x100  

Q’s earning is less than P = 40/(100 + 40) x 100

= 28.6%

If 65% of a number is 114 more than 35% of the same number, what will be 20% of that number?

  1. 70

  2. 72

  3. 76

  4. 75

  5. None of these


Correct Option: C
Explanation:

Let the required number be x. Then, 

X x 30/100 = 114 = 380

Now, 20% of 380 = (380x20)/100 = 76

The price of eggs is decreased by 35%. By how much should a person increase his consumption, so that his expenditure on it remains the same?

  1. 53.85%

  2. 50.85%

  3. 40.85%

  4. 45.85%

  5. None of these


Correct Option: A
Explanation:

Increase in consumption = P/(100-P)x100

Increment in consumption = 35/(100 - 35) x 100 = 53.85%

The price of petrol increases by 12.5%. By how much percentage must a person reduce his consumption so that his expenditure on it does not increase?

  1. 10.11%

  2. 11.11%

  3. 12.11%

  4. 12.21%

  5. None of these


Correct Option: B
Explanation:

Let original consumption = c Let initial price = p Let Initial expenditure = e e = pc...(i) Let final consumption = k New price = 1.1.25p e = 1.125 pk....(ii) Equating (i) and (ii), we get pc = 1.125pk or k = c/1.125 = 0.8888c Thus, reduction = (100 - 88.88)5 = 11.11 % Hence, option 2 is correct.

Deepak needs a minimum of 34% marks to pass an exam, but he scores 30% marks and fails by 18 marks. What are the total marks?

  1. 400

  2. 450

  3. 500

  4. 550

  5. None of these


Correct Option: B
Explanation:

Difference in % = Difference in marks

34% - 30% = 4%

4% = 18 marks

So, total marks = (18 x 100)/4 = 450

The price of a chair is reduced by 5%. The number of chairs sold increases by 12%. What is the effect on the sales?

  1. 8% increase

  2. 6.4% increase

  3. 8.4% decrease

  4. 6% decrease

  5. None of these


Correct Option: B
Explanation:

Let the original selling price of each chair = Rs. X and number of chairs = y

Then, original selling price of y chairs = xy

So, x*y = xy

On reducing price by 5% and increasing number of chairs by 12%,

(95x/100)*(112y/100) = 1064xy/1000,

So, increase in selling price = 1064xy/1000 – xy

= 64xy/100

Percentage increase in selling price = 64xy*100/1000*xy

= 6.4%

If 30% of a number is equal to 31% of another number, what is the ratio of the first number to the second number?

  1. 30 : 31

  2. 31 : 30

  3. 61 : 30

  4. 30 : 61

  5. None of these


Correct Option: B
Explanation:

Let the first number = x and other number = y

So, x*30/100 = y*31/100

x/y = 31/30 

x : y = 31 : 30

So, the required ratio is 31 : 30.

A fruit seller has some apples. He sells 75% apples and still has 225 apples. Find the total number of apples that he had.

  1. 900 apples

  2. 600 apples

  3. 800 apples

  4. 700 apples

  5. None of these


Correct Option: A
Explanation:

Let the original number of apples = x

Number of sold apples = 75x/100 

Now, the remaining number of apples = x – 75x/100 = 25x/100

So, 25x/100 = 225 

X = 900

So, the original number of apples is 900.

The difference between 25% of a number and 20% of the same number is 26. What is 3/4 of that number?

  1. 390

  2. 510

  3. 300

  4. 360

  5. None of these


Correct Option: A
Explanation:

Let the number = x, then

25% of x - 20% of x = 26

5% of x = 26

x*5/100 = 26

x = 520

Now, 3/4 of 520 = 520*3/4 = 390

A shopkeeper announces successive discounts of 34% and 35%. Find the equivalent percent discount.

  1. 57.1%

  2. 69%

  3. 57%

  4. 69.1%

  5. None of these


Correct Option: A
Explanation:

For two successive changes of x% and y%, net change = {x + y +xy/100}%

= {- 34 – 35 + (- 34)(- 35)/100}%

=(- 69 + 11.9) % = - 57.1%

So, equivalent discount is 57.1%.

Two students appeared in an examination. One of them secured 24 marks more than the other and his marks were 55% of the sum of their marks. Find the respective marks obtained by them.

  1. 138, 102

  2. 128, 112

  3. 132, 108

  4. 130, 110

  5. None of these


Correct Option: C
Explanation:

If marks of both students are 130 and 110,

Then, difference of marks = 130 - 110 = 20

But required difference is 24, so it is a wrong answer.

A gave 55% of his money to his wife and 32% of his money to his sons. He kept the remaining Rs. 3315 with himself. What was the total money A had?

  1. Rs. 20500

  2. Rs. 25000

  3. Rs. 25500

  4. Rs. 35,000

  5. None of these


Correct Option: C
Explanation:

Let the total amount A had be Rs. x.

Then, remaining amount = x - (55% + 32%) of x

= 13x/100 

So, 13x/100 = 3315 

x = 25500

So, the total amount A had was Rs. 25500.

The price of a car was Rs. 435000. It was insured to 80% of its price. The car was damaged completely in an accident and the insurance company paid 95% of the insurance. What is the difference between the price of the car and the amount received?

  1. Rs. 17400

  2. Rs. 17500

  3. Rs. 18500

  4. Rs. 20400

  5. None of these


Correct Option: A
Explanation:

Price of the car = Rs. 435000

Car is insured to 80% of its price.

Insured price = 435000 × 80/100 = Rs. 348000

Insurance company paid 95% of the insurance. 

Amount paid by insurance company = Insured price × 95/100

= 348000*95/100

= 330600

Difference between the price of the car and the amount received = Rs. 348000 - Rs. 330600 = Rs. 17400

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