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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
