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 that cotton trousers, his overall profit will be 45%. However he ends up selling 50% more cotton trousers than woolen trousers. What will be his overall profit?a)37.5%b)40%c)41%d)42.33%e)None of theseCorrect answer is option 'B'. Can you explain this answer?

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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 that cotton trousers, his overall profit will be 45%. However he ends up selling 50% more cotton trousers than woolen trousers. What will be his overall profit?

a)
37.5%
b)
40%
c)
41%
d)
42.33%
e)
None of these

Correct answer is option 'B'. Can you explain this answer?

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A salesman sells two kinds of trousers: cotton and woollen. A pair of ...

Given information:
- A pair of cotton trousers is sold at 30% profit.
- A pair of woollen trousers is sold at 50% profit.
- The salesman plans to sell 100% more woollen trousers than cotton trousers to achieve 45% overall profit.
- However, he ends up selling 50% more cotton trousers than woollen trousers.

Approach:
Let's assume that he sells 100 pairs of cotton trousers and x pairs of woollen trousers. As per the given information, he sells 50% more cotton trousers than woollen trousers. Therefore, he sells 1.5x pairs of cotton trousers.

Now, the total profit earned by selling cotton trousers = 100 x 30% x cost price of a pair of cotton trousers x 1.5 (as he sells 1.5 times more cotton trousers)

The total profit earned by selling woollen trousers = x x 50% x cost price of a pair of woollen trousers

The total cost price of selling all the trousers = 100 x cost price of a pair of cotton trousers + x x cost price of a pair of woollen trousers

As per the given information, he plans to sell 100% more woollen trousers than cotton trousers to achieve 45% overall profit. Therefore, the total profit earned should be 45% of the total cost price. Hence, we can set up the following equation:

(100 x 30% x cost price of a pair of cotton trousers x 1.5) + (x x 50% x cost price of a pair of woollen trousers) = 45% x (100 x cost price of a pair of cotton trousers + x x cost price of a pair of woollen trousers)

Simplifying the above equation, we get:

45x = 25x + 135

20x = 135

x = 6.75

Therefore, he sells 6.75 pairs of woollen trousers. As he sells 1.5 times more cotton trousers, he sells 1.5 x 6.75 = 10.125 pairs of cotton trousers.

Now, let's calculate the overall profit:

Total profit earned by selling cotton trousers = 100 x 30% x cost price of a pair of cotton trousers x 1.5 = 45% x cost price of 100 pairs of cotton trousers

Total profit earned by selling woollen trousers = 6.75 x 50% x cost price of a pair of woollen trousers = 33.75% x cost price of 6.75 pairs of woollen trousers

Total cost price of selling all the trousers = cost price of 100 pairs of cotton trousers + cost price of 6.75 pairs of woollen trousers

Overall profit = (Total profit earned by selling cotton trousers + Total profit earned by selling woollen trousers) / Total cost price of selling all the trousers x 100

= (45% x cost price of 100 pairs of cotton trousers + 33.75% x cost price of 6.75 pairs of woollen trousers) / (cost price of 100 pairs of cotton trousers + cost price of 6.75 pairs of woollen trousers) x 100

= (45 x 100 + 33.75 x 6.75) / (100 + 6.75) = 40%

Hence, the overall

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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 that cotton trousers, his overall profit will be 45%. However he ends up selling 50% more cotton trousers than woolen trousers. What will be his overall profit?a)37.5%b)40%c)41%d)42.33%e)None of theseCorrect answer is option 'B'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 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 that cotton trousers, his overall profit will be 45%. However he ends up selling 50% more cotton trousers than woolen trousers. What will be his overall profit?a)37.5%b)40%c)41%d)42.33%e)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 that cotton trousers, his overall profit will be 45%. However he ends up selling 50% more cotton trousers than woolen trousers. What will be his overall profit?a)37.5%b)40%c)41%d)42.33%e)None of theseCorrect answer is option 'B'. Can you explain this answer?.

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