Let after x years he will repayment the amount.

Interest of ₹ 240000 at 12% for x years

= \frac{240000 × 12 × x}{100}=28800 x

Amount = Principal + Interest

= ₹ (240000+28800x)

Now, house rent for 1 year 12m = ₹ 5200 × 12

\therefore House rent for (x – 1) yrs = ₹ 5200 × 12x(x – 1)

= 62400 (x – 1)

According to the problem,

62400 (x – 1) = 240000 + 28800 x

or, 62400 x – 62400 = 240000 + 28800 x

or, 62400 x – 28800 x = 240000+62400

or, 33600 x = 302400

∴ x =\frac{302400}{33600}=9

∴ After 9 years he will repay his loan with interest.