After spending Rupees sixty thousand for remodelling a house, Amla sold a house at a profit of $20$%. If the selling price was Rupees forty two lakhs, how much did she spend to buy the house?

Let the cost price of house be $x$.

Money spent for remodelling $=Rs.60,000$

$⟹$ Net price$=60000+x$

$SP=Rs.42,00,000$

Profit$=20\%$

$SP=120\%\times (60,000+x)=42,00,000⟹x=34,40,000$

Hence Amla spent $Rs.34,40,000$ to buy the house.