Question

a man sold an article for Rs 88 at a loss but if he sells it for rupees 112 then he would gain an amount thrice the loss. find the cp of the article.

Answer 1

Let when article was sold for Rs. 88 the loss was Rs. x

∴ CP = SP + Loss

CP = 88 + x ----- ( i )

Also,

When SP = 112

Profit = 3 times the loss

Profit = 3x ------ ( ii )

Also,

Profit + CP = SP

3x + 88 + x = 112   [ from eq ( i ) and ( ii ) ]

4x = 24

x = 6

∴ CP of the article = 88 + 6 = 94     [ ∵ CP = 88 + x]