Question

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 woolen trousers. What will be his overall profit?

Answer 1

Answer:

40%

Step-by-step explanation:

Let the cost price of cotton trouser be 'x', and the cost price of woolen trouser be 'y'.

It is given that:

• A pair of cotton trousers is sold at 30% profit.
• A pair of woolen trousers is sold at 50% profit.

If he sells 100% more woolen trousers than cotton trousers:

Selling Price = 1.3x + 1.5*2y = 1.45 (x+2y)

Therefore, 0.15x = 0.1y

y = 3/2 x.

If Number of cotton trousers sold is 50% more than woolen trousers:

Selling Price = 1.3x + 1.5*(2/3)y = 1.3x + 1.5(2/3)(3/2) = 2.8x

Cost price = x + 2/3 y = 2x.

Therefore, Profit = $\frac{2.8x-2x}{2x}*100\%=40\%$