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?  Choose the correct choice from the following options:
A) 37.5% B) 40% C) 41% D) 32.33% E) None of these
Explanation :   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).   =&gt;0.15C=0.1W.   =&gt;3C=2W.   Case II: Number of cotton trousers sold is 50% more than woollen trousers.   S.P=1.3C + 1.5 x (2W/3).   =&gt;S.P=1.3C+W=2.8C.   And, C.P.=C+(2W/3)=2C.   Profit :-   =&gt;(2.8C-2C)X100/2C.   =&gt;40%.   Answer : 40%
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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 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?