Question

By selling two houses for $Rs.246400$ each a man gained $12\%$ on one house and lost $12\%$ on the other. Find his total gain or loss.

Answer 1

Selling Price of each house $=Rs.246400$
Gain $=12\%$ on one house
Loss $=12\%$ on other house
CP of the house with gain $=SP-Profit=246400-\frac{12}{100}\times CP$
CP of the house with gain $=\frac{246400\times 100}{112}=220000$
CP of the house with loss $=SP+Loss=246400+\frac{12}{100}\times CP$
CP of the house with loss $=\frac{246400\times 100}{88}=280000$
Total CP $=220000+280000=Rs.500000$
Total SP $=2\times 246400=492800$
Thus, $loss=CP-SP=500000-492800=Rs.7200$