Question

Man singh bought a sugar for ₹1000 .He spent 50 and ₹70 on packing .He sold three fourth of it at loss of 10% At what profit%should he sell the remaining sugar so that he earns an overall profit of 10%?

Answer 1

Total money spent = 1000 + 70 + 50 = 1120

CP of 3/4 of total sum is 3/4 * 1120 = 840

Sold 3/4 of 1120 at a loss of 10%

SP of 3/4 of total sum = 840 - 10% of 840 = 840 - 84 = 756

Over all profit = 10% on whole sugar

CP = 1120

SP = 1120 + 10% of 1120 = 1120 + 112 = 1232

CP of Remaining 1/4 sugar = 1120 - 840 = 280

SP of remaining 1/4 sugar = total SP - SP of 3/4 of the sum

= 1232 - 756 = 476

Profit = SP of 1/4 part of sugar - CP of 1/4 part of sugar

Profit = 476 - 280 = 196

Profit % = 196/280 * 100 = 19600/280 = 70%

He should sell remaning 1/4th part sugar at 70 % to make an overall profit of 10%