Question 59

A shopkeeper by selling 17 Omega watches, earns a profit equal to the selling price of 7 Omega watches. What is his profit percentage?

Solution

Let Cost price of 1 watch = Rs. x

Let Selling price of 1 watch = Rs. y

Profit of 17 watches = Rs. 17 (y - x)

According to ques, => $$17(y - x) = 7y$$

=> $$17y - 17x = 7y$$

=> $$17x = 17y - 7y = 10y$$

=> $$\frac{x}{y} = \frac{10}{17}$$

$$\therefore$$ Profit % = $$\frac{y-x}{x} \times 100$$

= $$\frac{7}{10} \times 100 = 70\%$$

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