हिंदी

By selling a chair for Rs. 75, Mohan gained as much per cent as its cost. Calculate the cost of the chair. - Mathematics

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प्रश्न

By selling a chair for Rs. 75, Mohan gained as much per cent as its cost. Calculate the cost of the chair.

योग
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उत्तर

Let the C.P. of the chair be Rs. x

S.P. of chair = Rs. 75

Profit = Rs. (75 – x)

We know:

Profit% = `"Profit"/("C.P.") xx 100`

∴ `x = (75 - x)/x xx 100`

x2 = 7500 – 100x

x2 + 100x – 7500 = 0

(x + 150)(x – 50) = 0

x = –150, 50

But, C.P. cannot be negative.

So, x = 50.

Hence, the cost of the chair is Rs. 50

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