A shopkeeper earns a profit of 12 % on selling a book at 10 % discount on printed price. ratio of co

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7.Profit and Loss

medium

A shopkeeper earns a profit of $12 \%$ on selling a book at $10 \%$ discount on the printed price. The ratio of the cost price and the printed price of the book is

A

$45:56$

B

$45:51$

C

$47:56$

D

$47:51$

Solution

Let, the printed price be $₹ 100$ Selling price $=₹ 90$

Selling price $=₹ 90$

cost price $=\frac{100}{112} \times 90$

Required ratio $=\frac{100 \times 90}{112} \times \frac{1}{100}$

$=\frac{45}{56}=45: 56$

Standard 13

Quantitative Aptitude

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