Question 110

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

Solution

Let the printed price be $$100x$$ and the cost price be $$100y$$

After discount of 10%, selling price of the book = $$100x - \frac{10}{100} * 100x$$

= $$90x$$

After earning a profit of 12%, selling price = $$100y + \frac{12}{100} * 100y$$

= $$112y$$

Now, equating above equations, we get :

=> $$90x = 112y$$

=> $$\frac{y}{x} = \frac{45}{56}$$

To find : $$\frac{100y}{100x} = \frac{y}{x}$$

= 45 : 56

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