A shopkeeper sold chairs at Rs. 2139 each aft | vedclass

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(C) Step $1$: Calculate the labelled price (marked price) of the chair.Given selling price $(SP)$ = $Rs. 2139$ and discount = $7 \%$.Labelled Price $(

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$2000$

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(C) Step $1$: Calculate the labelled price (marked price) of the chair.Given selling price $(SP)$ = $Rs. 2139$ and discount = $7 \%$.Labelled Price $(LP)$ = $\frac{SP 	imes 100}{100 - 	ext{Discount } \%} = \frac{2139 	imes 100}{93} = Rs. 2300$.Step $2$: Calculate the cost price $(CP)$.Let the cost price be $x$.If no discount is given, the selling price would be equal to the labelled price, i.e., $Rs. 2300$.Profit percentage = $15 \%$.We know that $SP = CP 	imes (1 + \frac{	ext{Profit } \%}{100})$.$2300 = x 	imes (1 + \frac{15}{100}) = x 	imes 1.15$.$x = \frac{2300}{1.15} = 2000$.Therefore, the cost price of each chair is $Rs. 2000$.

$A$ shopkeeper sold chairs at $Rs. 2139$ each after giving a $7 \%$ discount on the labelled price. Had he not given the discount, he would have earned a profit of $15 \%$ on the cost price. What was the cost price of each chair? (in $Rs.$)

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