Percentage Aptitude Questions Practice Question and Answer

Q:

The radius of circle is increased by 1%. How much does the area of the circle increased? 

1201 0

  • 1
    2.01%
    Correct
    Wrong
  • 2
    3.302%
    Correct
    Wrong
  • 3
    0.331%
    Correct
    Wrong
  • 4
    2.02%
    Correct
    Wrong
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Answer : 1. "2.01% "

Q:

A person who spends $$ 16{2\over3}\% $$ of  his income is able to save 1200 per month. His monthly expenses (in) is:  

1200 0

  • 1
    1,200
    Correct
    Wrong
  • 2
    2,400
    Correct
    Wrong
  • 3
    3,000
    Correct
    Wrong
  • 4
    3,200
    Correct
    Wrong
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Answer : 2. "2,400 "

Q:

In a moter of 120 machine parts, 5 % parts were defective, in another motor of 80 machine parts, 10 % parts were defective. For the two motors considered together, the percentage of defective machine parts were 

1199 0

  • 1
    6.5
    Correct
    Wrong
  • 2
    7.5
    Correct
    Wrong
  • 3
    7
    Correct
    Wrong
  • 4
    8
    Correct
    Wrong
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Answer : 3. "7"

Q:

In an examination, 93 % of students passed and 259 failed. The total number of students appearing at the examination was: 

1197 0

  • 1
    3950
    Correct
    Wrong
  • 2
    3850
    Correct
    Wrong
  • 3
    3700
    Correct
    Wrong
  • 4
    4200
    Correct
    Wrong
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Answer : 3. " 3700 "

Q:

The price of sugar increases by 15%. By what percentage should the consumption of sugar be decreased so that the expenditure on the purchase of sugar remains the same? [Give your answer correct to 2 decimal places.]

1197 0

  • 1
    11.11%
    Correct
    Wrong
  • 2
    12.5%
    Correct
    Wrong
  • 3
    14.16%
    Correct
    Wrong
  • 4
    13.04%
    Correct
    Wrong
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Answer : 4. "13.04%"
Explanation :

To solve this problem, let's denote:

  • Initial price of sugar = P
  • Initial quantity consumed = Q
  • Initial expenditure = PQ

After the price increases by 15%, the new price becomes 1.15P.

To keep the expenditure constant, the new quantity consumed (let's call it Q') can be calculated using the formula:

New expenditure = New price × New quantity

Setting the new expenditure equal to the initial expenditure:

PQ = (1.15P) * Q'

Now, solve for Q':

Q' = PQ / (1.15P)

Simplify:

Q' = Q / 1.15

Now, let's find the percentage decrease in consumption:

Percentage decrease = [(Q - Q') / Q] * 100

Substituting the value of Q':

Percentage decrease = [(Q - (Q / 1.15)) / Q] * 100

Percentage decrease = [(Q * (1 - 1/1.15)) / Q] * 100

Percentage decrease ≈ [(1 - 0.8696) * 100] ≈ 13.04%

Therefore, the consumption of sugar should be decreased by approximately 13.04% to keep the expenditure on the purchase of sugar the same after a 15% increase in price.

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Answer : 2. "500"

Q:

By reducing the circumference of a circle by 50 percent, by what percentage will its area decrease?

1194 0

  • 1
    12.5 %
    Correct
    Wrong
  • 2
    25 %
    Correct
    Wrong
  • 3
    75 %
    Correct
    Wrong
  • 4
    50 %
    Correct
    Wrong
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Answer : 3. "75 % "

Q:

Two numbers are 30% and 37% lesser than a third number. By how much percent is the second number to be enhanced to make it equal to the first number?

1184 0

  • 1
    10%
    Correct
    Wrong
  • 2
    7%
    Correct
    Wrong
  • 3
    11.11%
    Correct
    Wrong
  • 4
    18.92%
    Correct
    Wrong
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Answer : 3. "11.11%"

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