A shopkeeper sold decks at Rs., 166 each after giving 17 % discount on labelled price. Had he not gi

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7.Profit and Loss

medium

A shopkeeper sold decks at $Rs.\, 166$ each after giving $17 \%$ discount on 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

$164$

Solution

Here, the labelled price of decks is defined as:

$\Rightarrow \frac{S P \times 100}{(100-D) \%}=\frac{166 \times 100}{100-17}=R s .200$

Let $C P$ of deck be $p$

According to the question:

$\frac{25}{100}=\frac{200- p }{ p } \Rightarrow P = Rs .160$

Standard 13

Quantitative Aptitude

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