Question

A man bought an article for Rs. x and sold it for Rs. 16. If his loss was x per cent, find the cost price of the article.

Answer 1

C.P. of the article = Rs. x

S.P. of the article = Rs. 16

Loss = Rs. (x – 16)

We know:

Loss% = `"Loss"/"C.P." xx 100`

∴ `x = (x - 16)/x xx 100`

x² = 100x – 1600

x² – 100x + 1600 = 0

(x – 80)(x – 20) = 0

x = 80, 20

Thus, the cost price of the article is Rs. 20 or Rs. 80