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%?

1 Answer
Jun 18, 2018

Remaining goods, Ram must sell at 78.75% profit.

Explanation:

Let the cost price for goods is $x,

13 part at 15% profit ,then ,sell price is 13x1.15

25 part at 40% loss ,then ,sell price is 25x0.6

Remaining part is 1(13+25)=11115=415

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

Total sell price of 1115part is (1.153+1.25)x=9.3515x

The remaining 415 to be sold at (1.19.3515)x=7.1515x

to earn overall profit of 10%

Profit % of remaining 415 th part should be

((7.1515154)1)100=78.75% [Ans]