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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.
Solution
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
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