Question

By selling an article for ₹ 24 a trader loses as much percent as the cost price. Find the cost price of the article.

Answer 1

Let the cost price of the article be ₹ x.

Selling price = ₹ 24

Loss = x − 24

Loss percent = `"Loss"/"Cost Price" xx 100`

`(x-24)/x xx 100 = x`

100(x − 24) = x²

100x − 2400 = x²

x² − 100x + 2400 = 0

Factor:

(x − 40) (x − 60) = 0

x = 40 or x = 60

If cost price were ₹ 60, loss % would be very high and not realistic for such problems.

Cost Price = ₹ 40​