Question

A trader allows a discount of 15% on the marked price of the goods in his shop. However, he still makes a gross profit of 36% on the cost price. Find the profit percent, he would have made, had he sold the goods at the market price.

Answer 1

Let the cost price of the goods = Rs.100
Profit
= 36% of Rs.100
= Rs.36
∴ S.P.
= C.P. + Profit
= Rs. (100 + 36)
= Rs.136
Discount = 15%
`"S.P."/"M.P." = 1 - "D"/(100)`

⇒ `(136)/"M.P." = 1 - (15)/(100)`

⇒ `(136)/"M.P." = (85)/(100)`

⇒ M.P. = `(100 xx 136)/(85)`
= Rs.160
Profit
= M.P. - C.P.
= Rs.(160 - 100)
= Rs.60
Profit % = 60%
He would have made a profit of 60% by selling at the market price.