Question

a grocer purchased 200 kg 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

Answer 1

Purchase cost = 200 * 25 = Rs 5,000 

Selling price of 80 kg rice - at 10% gain => 110% of price  => (110/100) * Rs 25.

So money earned by selling 80 kg rice = 80 * 110/100 * 25 = Rs 2,200

Selling price of 40 kg rice -- at a loss of 4% => 96% of price => 96/100 *Rs 25

Money earned by selling 40 kg = 40 * 96/100 * 25 = Rs 960

Remaining quantity = 200 - 40 -80 = 80 kg

Total gain required = 8%  =>

Overall money to be earned thru sales = 108/100 * cost = 108/100 * 5,000

           = Rs 5,400

Money to be earned through sale of remaining 80 kg

      = Rs 5,400 - Rs 2,200 - Rs 960 = Rs 2,240

Selling price of the remainder rice = Rs 2,240 / 80 kg = Rs 28/kg

Answer 2

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*500