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%?

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Answer 1 · 2018-06-18T10:34:52

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

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]