(C) Let the labelled price be $L$ and the cost price be $CP$.Given that the selling price $SP = Rs. 166$ after a $17\%$ discount.$SP = L \times (1 - 0

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(C) Let the labelled price be $L$ and the cost price be $CP$.Given that the selling price $SP = Rs. 166$ after a $17\%$ discount.$SP = L \times (1 - 0.17) = 0.83L = 166$.$L = 166 / 0.83 = Rs. 200$.If no discount was given,the selling price would be equal to the labelled price,i.e.,$Rs. 200$.In this case,the profit is $25\%$,so $SP = CP \times (1 + 0.25) = 1.25 \times CP$.$200 = 1.25 \times CP$.$CP = 200 / 1.25 = Rs. 160$.Therefore,the cost price of each deck is $Rs. 160$.

Competitive Quantitative Aptitude Profit and Loss Profit and Loss

Medium

$A$ shopkeeper sold decks at $Rs. 166$ each after giving $17\%$ discount on the labelled price. Had he not given the discount,he would have earned a profit of $25\%$ on the cost price. What was the cost price of each deck? (in $Rs.$)

A
$165$
B
$155$
C
$160$
D
$164$

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Profit and Loss

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Profit and Loss

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$A$ shopkeeper sold decks at $Rs. 166$ each after giving $17\%$ discount on the labelled price. Had he not given the discount,he would have earned a profit of $25\%$ on the cost price. What was the cost price of each deck? (in $Rs.$)

Similar Questions

$A$ 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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