A tradesman gives 4 % discount on the marked | vedclass

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(D) Let the $CP$ of each article be $Rs. 100$.Then the $CP$ of $16$ articles $= 16 	imes 100 = Rs. 1600$.Since the trader gains $35 \%$,the total $SP

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$50$

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(D) Let the $CP$ of each article be $Rs. 100$.Then the $CP$ of $16$ articles $= 16 	imes 100 = Rs. 1600$.Since the trader gains $35 \%$,the total $SP$ for $16$ articles is $1600 	imes 1.35 = Rs. 2160$.Since the customer gets $1$ article free for every $15$ bought,the customer receives $16$ articles for the price of $15$.Thus,the $SP$ of $15$ articles is $Rs. 2160$,which means the $SP$ of $1$ article is $2160 / 15 = Rs. 144$.Given a $4 \%$ discount on the marked price $(MP)$,we have $SP = MP 	imes (1 - 0.04) = 0.96 	imes MP$.$144 = 0.96 	imes MP \implies MP = 144 / 0.96 = Rs. 150$.The $MP$ is $Rs. 150$ and the $CP$ is $Rs. 100$.Therefore,the $MP$ is $(150 - 100) / 100 	imes 100 = 50 \%$ above the $CP$.

$A$ tradesman gives $4 \%$ discount on the marked price and gives one article free for buying every $15$ articles and thus gains $35 \%$. The marked price is approximately how much percent above the $CP$?

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