Question

Anoop borrowed Rs. $800$ at $6$ % p.a. and Rs. $1200$ at $7$ % p.a. for the same duration. He had to pay Rs. $1584$ in all as interest. Find the time period.

• A. $10$ years
• B. $11$ years
• C. $12$ years
• D. $13$ years

Answer 1

The correct option is C $12$ years

We know, Interest $=\frac{PRT}{100}$

Interest at 1st rate for $1$ year = $800\times \frac{6\times 1}{100}=Rs.48$

Interest for $1$ year at $2$nd rate = $1200\times \frac{7\times 1}{100}=Rs.84$

Therefore, the total interest for $1$ year = Rs. $132$

Hence, the required time = $\frac{1584}{132}=12years$