Question 105

A shop-keeper sold a sewing machine for 1,080 at a loss of 10%. At what price should he have sold it so as to gain 10% on it ?

Solution

Original S.P. = 1080

Loss % = 10%

Let C.P. = $$x$$

=> $$\frac{x - 1080}{x} * 100 = 10$$

=> $$9x = 10800 => x = 1200$$

Profit % = 10%

=> Profit amount = $$\frac{10}{100}$$ * 1200 = 120

New S.P. = 1200+120 = 1320

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