Question

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. $50:61$
• C. $99;125$
• D. None of these

Answer 1

The correct option is A $45:56$

Let the cost price of the book $=Rs.100$

Selling price of the book $=100\times \frac{100+12}{100}=112$

Let the printed price $=Rs.x$

$90\%ofx=112$

$\Rightarrow x=112\times \frac{100}{90}=\frac{1120}{9}$

The required ratio $=100:\frac{1120}{9}=45:56\left[A\right]$