A cloth merchant sold half of his cloth at 20 | vedclass

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(C) Let the total cost price $(C.P.)$ of the cloth be $100$ units.$1$. Half of the cloth ($50$ units) is sold at $20 \%$ profit:$S.P._1 = 50 	imes 1.

Vedclass · Accepted Answer

$5 \%$ gain

Vedclass · Answer

(C) Let the total cost price $(C.P.)$ of the cloth be $100$ units.$1$. Half of the cloth ($50$ units) is sold at $20 \%$ profit:$S.P._1 = 50 	imes 1.20 = 60$ units.$2$. Half of the remaining cloth ($25$ units) is sold at $20 \%$ loss:$S.P._2 = 25 	imes 0.80 = 20$ units.$3$. The rest of the cloth ($25$ units) is sold at cost price:$S.P._3 = 25 	imes 1.00 = 25$ units.Total Selling Price $(S.P.)$ $= 60 + 20 + 25 = 105$ units.Since the total $S.P.$ $(105)$ is greater than the total $C.P.$ $(100)$,there is a profit.Profit $\% = \frac{S.P. - C.P.}{C.P.} 	imes 100 = \frac{105 - 100}{100} 	imes 100 = 5 \%$ gain.

$A$ cloth merchant sold half of his cloth at $20 \%$ profit,half of the remaining at $20 \%$ loss,and the rest was sold at the cost price. In the total transaction,his gain or loss will be

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