Percentage Q70

70.

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%

Answer – (B)
Solution:
Let the cost price of 1 cotton trouser and 1 woollen trouser be ‘C’ and ‘W’ respectively.
Case I: Number of woollen trousers sold is 100% more than cotton trousers.
1.3C+1.5*2*W=1.45(C+2W)
=> 0.15C=0.1W
=> 3C=2W
Case II: Number of cotton trousers sold is 50% more than woollen trousers.
S.P.=1.3C+1.5*2W3
=> S.P.=1.3C+W=2.8C
=> CP=C+(23)*W=2C
Profit =(2.8C−2C2C)*100= 40%