Practice Questions on Percentages
Aptitude Questions and Answers

Difficult Percentages Question - 1

Q1.

$B$ as a percentage of $A$ is equal to $A$ as a percentage of $(A + B)$. Find $B$ as a percentage of $A$.

A.

$62\%$

B.

$73\%$

C.

$41\%$

D.

$57\%$

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Difficult Percentages Question - 2

Q2.

If the price of petrol increases by $25%$ and Raj intends to spend only an additional $15%$ on petrol, by how much $%$ will he reduce the quantity of petrol purchased?

A.

$10\%$

B.

$12\%$

C.

$8\%$

D.

$6.67\%$

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Difficult Percentages Question - 3

Q3.

A shepherd has 1 million sheep at the beginning of Year  2000. The numbers grow by $x% (x > 0)$ during the year. A famine hits his village in the next year and many of his sheep die. The sheep population decreases by $y%$ during 2001 and at the beginning of 2002 the shepherd finds that he is left with 1 million sheep. Which of the following is correct?

A.

$x > y$

B.

$y > x$

C.

$x = y$

D.

Cannot be determined

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Difficult Percentages Question - 4

Q4.

A candidate who gets $20\%$ marks fails by 10 marks but another candidate who gets $42\%$ marks gets $12\%$ more than the passing marks.

Find the maximum marks.

A.

50

B.

100

C.

150

D.

200

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Difficult Percentages Question - 5

Q5.

Peter got $30%$ of the maximum marks in an examination and failed by 10 marks. However, Paul who took the same examination got $40%$ of the total marks and got 15 marks more than the passing marks. What were the passing marks in the examination?

A.

35

B.

250

C.

75

D.

85

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