# Practice Questions on PercentagesAptitude 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. $57\%$

## 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. $6.67\%$

## 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

## 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

## 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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