Question

A tradesman sells his goods at 10% discount. What Price should he mark on an article that costs him Rs. 2400, to gain 12.5%?

Answer 1

C.P. = Rs.2400, discount = 10%, profit % = 12.5%
profit % = `"profit"/"C.P." xx 100`

⇒ 12.5 = `"profit"/(2400) xx 100`

⇒ profit = `(12.5 xx 2400)/(100)`

⇒ profit = Rs.300
S.P. = Rs.2400 + Rs.300
= Rs.2700
S.P. = `(1 - "d"/100)` of M.P.

⇒ 2700 = `(1 - 10/100) xx M.P.`

⇒ 2700 = `(9)/(100) xx M.P.`

⇒ `(2700 xx 100)/(90)` = M.P.
⇒ M.P. = Rs.3000
Hence, the price he should mark the article at is Rs.3000.