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.

Answer 1

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`

x² – 10x = 5200 – 100x

x² + 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