A shop sells 2 typesof shirts: cotton and woolen. A pair of cottonshirts is sold at 30% profit and a pair of woolen shirts is sold at 50%50% profit. The salesman has calculated that if he sells 100% more woolen shirts than cottonshirts, his overall profit will be 45%. However, he ends up selling 50%50% more cotton trousers than woolen trousers. What will be his overall profit?  Choose the correct option:	A) 20%	B) 30%	C) 40%	D) 50%	E) 65%
Let the cost price of 1 cotton trouser and 1 woollen trouser be ‘CC’ and ‘WW’ respectively.   Case I: Number of woollen trousers sold is 100%100% more than cotton trousers.   Let us calculate profit keeping one unit of a cotton trouser.   1.3C+1.5×2×W=1.45(C+2W)1.3C+1.5×2×W=1.45(C+2W)   ⇒0.15C=0.1W⇒0.15C=0.1W   ⇒3C=2W⇒3C=2W   Case II: Number of cotton trousers sold is 50%50% more than woollen trousers.   Here, we will calculate sales price keeping one unit of a cotton trouser as we did in the case I. Now as per the condition given, cotton trousers sold is 50%50% more than woollen trousers.   ⇒⇒ for every woollen trouser 1.51.5 (=32)(=32) cotton trousers are being sold.   ⇒⇒ for every cotton trouser 2323 (=13/2)(=13/2) woollen trousers are being sold.   S.P.=1.340%+1.5×2W3S.P.=1.340%+1.5×2W3   ⇒S.P.=1.340%+W=2.840%⇒S.P.=1.340%+W=2.840%   ⇒40%P=40%+23×W⇒40%P=40%+23×W   =240%=240%   Profit   =2.840%−240%240%×100=2.840%−240%240%×100   =40%   40%
<result>C</result>
A shop sells 2 typesof shirts: cotton and woolen. A pair of cottonshirts is sold at 30% profit and a pair of woolen shirts is sold at 50%50% profit. The salesman has calculated that if he sells 100% more woolen shirts than cottonshirts, his overall profit will be 45%. However, he ends up selling 50%50% more cotton trousers than woolen trousers. What will be his overall profit?