# Practice Questions on PercentagesAptitude Questions and Answers

## Difficult Percentages Question - 11

 Q11. Each person in a group of 110 investors has investments in either equities or securities or both. Exactly  $25%$  of  the  investors  in  equities  have  investments  in  securities,  and  exactly  $40%$  of  the investors in securities have investments in equities. How many have investments in equities?
 A. 60 B. 80 C. 70 D. 90

## Difficult Percentages Question - 12

 Q12. A Techno company has 14 machines of equal efficiency in its factory. The annual manufacturing costs are Rs 42,000 and establishment charges are Rs 12,000. The annual output of the company is Rs 70,000. The annual output and manufacturing costs are directly proportional to the number of machines. The shareholders get $12.5%$ profit, which is directly proportional to the annual output of the company. If $7.14%$ machines remain closed throughout the year, then the percentage decrease in the amount of profit of the shareholders would be:
 A. $12\%$ B. $12.5\%$ C. $13.5\%$ D. None of these

## Difficult Percentages Question - 13

 Q13. A shopkeeper sells three items $P$, $Q$ and $R$ and incurs a loss of $21%$, $11%$ and $10%$ respectively. The overall loss percentage on selling $P$ and $Q$ items is $14.33%$ and that of $Q$ and $R$ items is $10.4%$. Find the overall loss percentage on selling the three items?
 A. $15\%$ B. $12.16\%$ C. $13.4\%$ D. $12.5\%$

## Difficult Percentages Question - 14

 Q14. A salesman sells two kinds of trousers: cotton and woollen. A pair of cotton trousers is sold at $30\%$ profit and a pair of woollen trousers is sold at $50\%$ profit. The salesman has calculated that if he sells $100\%$ more woollen trousers than cotton trousers, his overall profit will be $45\%$. However, he ends up selling $50\%$ more cotton trousers than woollen trousers. What will be his overall profit?
 A. $37.5\%$ B. $40\%$ C. $41\%$ D. $42.33\%$

## Difficult Percentages Question - 15

 Q15. A textile manufacturing firm employees 50 looms. It makes fabrics for a branded company. The aggregate sales value of the output of the 50 looms is Rs 5,00,000 and the monthly manufacturing expenses is Rs 1,50,000. Assume that each loom contributes equally to the sales and manufacturing expenses are evenly spread over the number of looms. Monthly establishment charges are Rs 75000. If one loom breaks down and remains idle for one month, the decrease in profit is:
 A. Rs 13,000 B. Rs 10,000 C. Rs 7,000 D. Rs 5,500
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