Question

12. Sumeet bought a plot of land for 2,25,000. He sold 1 rd3 of the plot at a loss of 8%. At what
per cent profit must he sell the remaining plot of land in order to get an overall profit of 12%?
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Answer 1

question

Sumeet bought a plot of land 2,25000 .He sold 1/3rd plot of land at a loss of 8%.At what percent profit must he sell the remaining plot of land in order to get an overall profit of 12%.

answer

Total cost price = Rs. 225000

1/3rd land cost = 225000/3 = 75000

8% of 75000 = 6000

Loss = Rs. 6000

land sell in loss 75000 - 6000 = 69000

Overall 12% profit = 225000 × 12/100 = Rs. 27000

Total amount in hand after selling land 225000 + 27000 = 252000

The remaining amount should be sold = 252000 - 69000 = 183000

The cost of remaining land = 225000 - 75000 = 150000

Profit % = (183000 - 150000)/150000  × 100 = 22% 

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