A grocer purchased 200kg of rice at Rs.25 per kg. He sold 80 kg of it at a gain of 10% and 40 kg at a loss of 4%. At what rate per kg should he sell the remainder to gain 8% on his total investment?
a grocer purchased 1kg = rs25
200kg=200*25
=5000(rs)
80kg = 25*80
= rs2000
40kg =25*40
=rs 1000
10% gain on rs2000
=sp-110/100*2000
=2200
and 4% loss on rs 1000
96100*1000=rs960
8% gain in total investment
=108/100*5000
=5400
remaining=( 200-80+40)kg
=80kg
to gain 8% he should sell it to
=rs(5400-{2200+960})
=rs2240
rate per kg =2240/80
=rs28per kg (ans)
gain 8% on total investment
=108/100*5000