A shopkeeper marks his goods at 25% above his | vedclass

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(D) Let the cost price $(CP)$ be $Rs. 100$.The marked price $(MP)$ is $25\%$ above the $CP$, so $MP = 100 + 25 = Rs. 125$.The discount offered is $12

Vedclass · Accepted Answer

$9 \frac{3}{8}\%$

Vedclass · Answer

(D) Let the cost price $(CP)$ be $Rs. 100$.The marked price $(MP)$ is $25\%$ above the $CP$, so $MP = 100 + 25 = Rs. 125$.The discount offered is $12 \frac{1}{2}\%$ of the $MP$, which is $\frac{25}{2} \% = 0.125$.Discount amount $= 125 	imes \frac{25}{2 	imes 100} = 125 	imes \frac{1}{8} = Rs. 15.625$ or $Rs. 15 \frac{5}{8}$.The selling price $(SP)$ is $MP - 	ext{Discount} = 125 - 15.625 = Rs. 109.375$ or $Rs. 109 \frac{3}{8}$.Profit $= SP - CP = 109.375 - 100 = Rs. 9.375$.Profit percentage $= \frac{	ext{Profit}}{CP} 	imes 100 = \frac{9.375}{100} 	imes 100 = 9.375\%$, which is $9 \frac{3}{8}\%$.

$A$ shopkeeper marks his goods at $25\%$ above his cost price and allows customers a discount of $12 \frac{1}{2}\%$ for cash. Find his $\%$ profit?

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