A shopkeeper marks his goods at 40 % above th | vedclass

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Question

(C) Let the total cost price $(C.P.)$ of $100$ articles be $₹ 100$. Each article costs $₹ 1$. The marked price $(M.P.)$ of each article is $100 \% + 4

Vedclass · Accepted Answer

$26 \% 	ext{ gain}$

Vedclass · Answer

(C) Let the total cost price $(C.P.)$ of $100$ articles be $₹ 100$. Each article costs $₹ 1$. The marked price $(M.P.)$ of each article is $100 \% + 40 \% = 140 \%$ of $C.P. = ₹ 1.40$. He sells $\frac{3}{4}$ of the goods (i.e.,$75$ articles) at the marked price: $S.P._1 = 75 	imes 1.40 = ₹ 105$. He sells the remaining $\frac{1}{4}$ of the goods (i.e.,$25$ articles) at a $40 \%$ discount on the marked price: Discounted price per article $= 1.40 	imes (100 \% - 40 \%) = 1.40 	imes 0.60 = ₹ 0.84$. $S.P._2 = 25 	imes 0.84 = ₹ 21$. Total selling price $(S.P.)$ $= 105 + 21 = ₹ 126$. Since $S.P. > C.P.$,there is a gain. Gain $= S.P. - C.P. = 126 - 100 = ₹ 26$. Gain percentage $= (	ext{Gain} / C.P.) 	imes 100 = (26 / 100) 	imes 100 = 26 \%.$

$A$ shopkeeper marks his goods at $40 \%$ above their cost price. He is able to sell $\frac{3}{4}$ of his goods at this price,and the remaining at $40 \%$ discount. Assuming that the shopkeeper is able to sell all the goods he buys,find his overall gain or loss percentage.

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