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# By Selling a Chair for Rs 75, Mohan Gained as Much per Cent as Its Cost. Calculate the Cost of the Chair. - ICSE Class 10 - Mathematics

#### Question

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

#### Solution

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

x^2 = 7500 - 100x

x^2 + 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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#### APPEARS IN

Selina Solution for Selina ICSE Concise Mathematics for Class 10 (2018-2019) (2017 to Current)
Chapter 6: Solving (simple) Problems (Based on Quadratic Equations)
Ex.6C | Q: 10

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Solution By Selling a Chair for Rs 75, Mohan Gained as Much per Cent as Its Cost. Calculate the Cost of the Chair. Concept: Quadratic Equations.
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