At what percent above the cost price must a p | vedclass

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(B) Let the Cost Price $(C.P)$ be $Rs. 100$.To gain a profit of $20 \%$,the Selling Price $(S.P)$ must be $Rs. 100 + 20 = Rs. 120$.Let the Marked Pric

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$50$

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(B) Let the Cost Price $(C.P)$ be $Rs. 100$.To gain a profit of $20 \%$,the Selling Price $(S.P)$ must be $Rs. 100 + 20 = Rs. 120$.Let the Marked Price be $M.P$.Since a discount of $20 \%$ is allowed on the $M.P$,the $S.P$ is $80 \%$ of $M.P$.Therefore,$0.80 	imes M.P = 120$.$M.P = \frac{120}{0.80} = Rs. 150$.The mark-up percentage above the cost price is $\frac{M.P - C.P}{C.P} 	imes 100$.Mark-up $\% = \frac{150 - 100}{100} 	imes 100 = 50 \%$.

At what percent above the cost price must a person mark the price of an article so that he can enjoy $20 \%$ profit after allowing $20 \%$ discount?

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