Sumeet bought a plot of land at Rs. 225000. He sold 1/3rd of the plot 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%.

Total cost price=Rs.225000
1/3rd Sold for 8%loss
1/3rd Land cost = 225000/3 = 75000
8% of 75000 = ( 1% of 75000 ) X 8 = 750 x 8 = 750 x 2 x 4 = 1500 x 4 = 6000
loss=Rs.6000
Land selled in loss for =Rs.75000 - 6000 = 69000

Overall 12 % Profit =225000 x 0.12 = 2250 x 2 x 2 x 3 = 4500 x 2 x 3 = 9000 x 3
= 27000
Total amount in ahnds after selling = Rs.225000 + 27000 =252000

The balance amount sholud be sold for = 252000 - 69000 = Rs.183000

The cost of balance land is 225000 - 75000 = 150000
So. Profit percentage balance land is ( ( 183000-150000 ) / 150000 ) x 100 = 0.22 =22% profit
Ans. {{ Profit percentage for balance land should be 22% }}