A shopkeeper sold sarees at Rs. 266 each afte | vedclass

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Question

(C) Let the cost price of the saree be $Rs. x$.Given that the selling price after a $5\%$ discount is $Rs. 266$.Let the labelled price be $L$. Then,$L

Vedclass · Accepted Answer

$250$

Vedclass · Answer

(C) Let the cost price of the saree be $Rs. x$.Given that the selling price after a $5\%$ discount is $Rs. 266$.Let the labelled price be $L$. Then,$L 	imes (1 - 0.05) = 266$.$L 	imes 0.95 = 266 \implies L = \frac{266}{0.95} = Rs. 280$.If no discount were given,the selling price would be equal to the labelled price,which is $Rs. 280$.In this case,the profit earned is $12\%$ on the cost price $x$.Selling Price = Cost Price + Profit = $x + 0.12x = 1.12x$.Equating the selling price to the labelled price: $1.12x = 280$.$x = \frac{280}{1.12} = \frac{28000}{112} = Rs. 250$.Therefore,the cost price of each saree is $Rs. 250$.

$A$ shopkeeper sold sarees at $Rs. 266$ each after giving a $5\%$ discount on the labelled price. Had he not given the discount,he would have earned a profit of $12\%$ on the cost price. What was the cost price of each saree? (in $Rs.$)

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