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प्रश्न
By selling a chair for ₹ 1440, a shopkeeper loses 10%. At what price, did he buy it?
उत्तर
Given, S.P. = ₹ 1440 and loss = 10%
We know that, Loss% = `"Loss"/"C.P." xx 100%`
⇒ Loss% = `("C.P." - "S.P.")/"C.P." xx 100%` ......[∵ Loss = C.P. – S.P.]
⇒ 10 = `("C.P." - 1440)/"C.P." xx 100`
⇒ `10/100` C.P. = C.P. – 1440
⇒ C.P. – `10/100`C.P. = 1440
⇒ `9/10`C.P. = 1440
⇒ C.P. = `(1440 xx 10)/9`
∴ C.P. = ₹ 1600
Hence, the cost price of chair is ₹ 1600.
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