Suman sells a machine for $₹ 13500$ . She loses $10 %$ on it. What was the price at which she bought it?

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Solution

Selling price of the machine (S.P.) $= ₹ 13, 500$
Loss percentage (L%) $= 10 %$
Cost price of the machine (C.P.) $= (\frac{100}{100 - L o s s %}) \times S . P .$
Cost price of the machine (C.P.) $= (\frac{100}{100 - 10}) \times 13500 = \frac{10}{9} \times 13500$
Cost price of the machine (C.P.) $= 10 \times 1500 = R s . 15000$
Hence, the price at which she bought it is $R s . 15, 000$ .

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