Question

Ram sold 1/3 of goods at profit of 15% and 2/5 of goods at 40% loss.At what price he must sell the remaining goods to make overall profit of 10%?

Answer 1

Remaining goods, Ram must sell at `78.75%` profit.

Explanation:

Let the cost price for goods is `$x`,

`1/3` part at `15%` profit ,then ,sell price is `1/3x*1.15`

`2/5` part at `40%` loss ,then ,sell price is `2/5x*0.6`

Remaining part is `1-(1/3+2/5)=1-11/15= 4/15`

Sell price for `10%`overall profit should be `$1.1x`.

Total sell price of `11/15`part is `(1.15/3+1.2/5)x=9.35/15 x`

The remaining `4/15` to be sold at `(1.1-9.35/15)x=7.15/15x`

to earn overall profit of `10%`

Profit `%` of remaining `4/15` th part should be

`((7.15/15*15/4)-1)*100=78.75%` [Ans]