Mathematics

A boy buys an old bicycle for ₹ 162 and spends ₹ 18 on its repairs before selling the bicycle for ₹ 207. Find his gain or loss as percent.

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C.P. of bicycle = ₹ 162

Amount spent on its repair = ₹ 18

Final C.P. = ₹ 162 + ₹ 18 = ₹ 180

S.P. of bicycle = ₹ 207

(∵ S.P. is greater than C.P., means bicycle is sold at a gain.)

Gain = S.P. - C.P.

= ₹ 207 - ₹ 180

= ₹ 27

$\text{Gain \%} = \dfrac{\text{Gain}}{\text{C.P.}} \times 100\%\\[1em] = \dfrac{27}{180} \times 100\%\\[1em] = \dfrac{2700}{180}\%\\[1em] = 15\%$

Hence, bicycle is sold at a gain of 15%.

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