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

  • 3

Victor sold a watch to Alex at a gain of 12% and Alex had to sell it to Shelly at a loss of 5%. If Shelly paid $ 1330 for it, how much did Victor pay for the watch?

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5400
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