A trader marks the price of his goods 25 % ab | vedclass

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Question

(A) Let the cost price $(CP)$ be $x$.The marked price $(MP)$ is $25 \%$ above the cost price,so $MP = x 	imes (1 + 0.25) = 1.25x$.$A$ discount of $12

Vedclass · Accepted Answer

$800$

Vedclass · Answer

(A) Let the cost price $(CP)$ be $x$.The marked price $(MP)$ is $25 \%$ above the cost price,so $MP = x 	imes (1 + 0.25) = 1.25x$.$A$ discount of $12.5 \%$ is allowed on the marked price,so the selling price $(SP)$ is $MP 	imes (1 - 0.125) = 1.25x 	imes 0.875$.Given that $SP = Rs. 875$,we have:$1.25x 	imes 0.875 = 875$$x = \frac{875}{1.25 	imes 0.875}$$x = \frac{875}{1.09375} = 800$Alternatively,calculating $MP$ first:$MP = 875 	imes \left(\frac{100}{100 - 12.5}ight) = 875 	imes \left(\frac{100}{87.5}ight) = 1000$.Now,$CP = MP 	imes \left(\frac{100}{100 + 25}ight) = 1000 	imes \left(\frac{100}{125}ight) = 800$.

$A$ trader marks the price of his goods $25 \%$ above the cost price but allows a $12.5 \%$ discount for cash payment. If he sells the goods for $Rs. 875$,find the cost price of the goods (in $Rs.$).

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