Question

Gita buys a plot of land for Rs 36000. She sells 2/5 of it at a loss of 6%. She wants to make a profit of 10% on the whole transaction by selling the remaining land. The gain % on the remaining land is

Answer 1

Solution :-

Cost price of 2/5th part of land = (36000*2)/5

= Rs. 14400

Loss of sale of 2/5th part of land = 6 %

Loss = (14400*6)/100

Loss = Rs. 864

Selling price of 2/5th part of land = 14400 - 864

= Rs. 13536

Cost of remaining 3/5th part of land = (36000*3)/5

= Rs. 21600

Profit required on whole transaction = 10 %

10 % of 36000

= Rs. 3600

Total profit = Rs.3600 + Rs. 864 (6 % loss to be recovered)

= Rs. 4464

Total profit to be earned to make it 10 % on the whole transaction = Rs. 4464

Profit % = (Profit*100)/Cost price of the remaining land

Profit % = (4464*100)/21600

= 20.67 %

Answer.