Question 123

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

Solution

Given: Profit = 12%
Discount on printed price = 10%
Let's say cost price is $$x$$ and printed price is $$y$$
hence sold price will be $$x$$ + $$\frac{12x}{100}$$ and $$y$$ - $$\frac{10y}{100}$$
Both should be equal:
hence $$x$$ + $$\frac{12x}{100}$$ = $$y$$ - $$\frac{10y}{100}$$
$$\frac{x}{y}$$ = $$\frac{45}{56}$$

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