Question

24. A grocer purchased 200 kg of rice at * 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?
6. If the selling price of a TV set is equal to of its cost price, find the gain per cent.​

Answer 1

24. First,

Price per kg of rice = 25 Rs

Total cost price of rice = 25 * 200 = 5000 Rs

Cost price of 80 kg = 25*80 = 2000 Rs

Selling Price of 80 kg = (110/100)*2000

= 2200 Rs

Cost price of 40 kg = 25*40

= 1000 Rs

Selling Price of 40 kg = (96/100)*1000

= 960 Rs

Total Selling price of both portions = 1000 + 2200

= 3200 Rs

Required Selling price including remaining portion of rice = (108/100)*5000 Rs

= 5400 Rs

So selling price of remaining portion of rice

= 5400-3200

= 2200 Rs

Amount of rice.left = 200 -(80+40)

= 80 kg

So required rate per kg for remaining portion

=2200 / 80

= 27.5 Rs per kg

Hope it helps you this took a while to type.....