Question

The ratio of prices of two houses was 2:3. Two years later when price of first house has increased by 30% and that of second by Rs. 90,000, the ratio of prices becomes 5:7, find the original prices of two houses.

Answer 1

Let x be the proportionality constant.

Since, the ratio of prices of two houses was 2:3.

\(\therefore\) Price of the first house is Rs. 2x and that of the second house is Rs. 3x.

Given, two years later price of the first house increased by 30%.

\(\therefore\) price of first house becomes 2x + 30% of 2x

and price of second house increased by Rs. 90,000.

\(\therefore\) Price of second house becomes Rs. (3x + 90,000) Also, ratio of their new prices is given to be 5:7