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# A Trader Bought an Article for Rs X and Sold It for Rs 52, Thereby Making a Profit of (X – 10) per Cent on His Outlay. Calculate the Cost Price. - ICSE Class 10 - Mathematics

#### Question

A trader bought an article for Rs x and sold it for Rs 52, thereby making a profit of (x – 10) per cent on his outlay. Calculate the cost price.

#### Solution

C.P. of the article = Rs x

S.P. of the article = Rs 52

Profit = Rs (52 – x)

We know:

Profit% = "Profit"/"C.P." xx 100

∴ x - 10 = (52 - x)/x xx 100

x^2 - 10x = 5200 - 100x

x^2 + 90x - 5200 = 0

(x + 130)(x - 40) = 0

x = -130, 40

Since, C.P. cannot be negative. So, x = 40.

Thus, the cost price of the article is Rs 40.

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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: 9

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Solution A Trader Bought an Article for Rs X and Sold It for Rs 52, Thereby Making a Profit of (X – 10) per Cent on His Outlay. Calculate the Cost Price. Concept: Quadratic Equations.
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