A cloth dealer professes to sell cotton at co | vedclass

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(A) Let the cost price of $1 \, cm$ of cloth be $1$ unit.The dealer charges for $100 \, cm$ but actually gives only $80 \, cm$.Cost price $(CP)$ for t

Vedclass · Accepted Answer

$25 \%$

Vedclass · Answer

(A) Let the cost price of $1 \, cm$ of cloth be $1$ unit.The dealer charges for $100 \, cm$ but actually gives only $80 \, cm$.Cost price $(CP)$ for the dealer $= 80 \, 	ext{units}$.Selling price $(SP)$ for the dealer $= 100 \, 	ext{units}$.Profit $= SP - CP = 100 - 80 = 20 \, 	ext{units}$.Gain percent $= \left( \frac{	ext{Profit}}{CP} ight) 	imes 100 = \left( \frac{20}{80} ight) 	imes 100 = \frac{1}{4} 	imes 100 = 25 \%.$

$A$ cloth dealer professes to sell cotton at cost price, but uses a meter scale having a length of $80 \, cm$ only and charges for a full meter. Find his gain percent.

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