Question

The true discount on $Rs.1760$ due after a certain time at $12$% per annum is $Rs.160$. The time after which it is due is:

• A. $6$ months
• B. $8$ months
• C. $9$ months
• D. $10$ months

Answer 1

The correct option is D $10$ months

$\text{Principal}=Rs.(1760-160)=Rs.1600$.

$\therefore S.I.$ on $Rs.1600$ at $12\%$ is $Rs.160$.

$\text{Time}=\frac{I\times 100}{P\times R}$

$\therefore Time=\left(\frac{100\times 160}{1600\times 12}\right)=\frac{5}{6}years=(\frac{5}{6}\times 12)months=10months$.