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 M.P. = $$100x$$

Discounted amount = $$\frac{10}{100} * 100x = 10x$$

=> S.P. = $$100x - 10x = 90x$$

Let C.P. = $$100y$$

Now, we need to find $$\frac{y}{x}$$

Profit % = 12%

=> $$\frac{90x - 100y}{100y}$$ * 100 = 12

=> $$2250x = 2800y$$

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

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