Question

$Rs.20$ is the true discount on $Rs.260$ due after a certain time. What will be the true discount on the same sum due after half of the former time, the rate of interest being the same?

• A. $Rs.10$
• B. $Rs.10.40$
• C. $Rs.15.20$
• D. $Rs.13$

Answer 1

Answer: (B)

$Rs.10.40$

S.I. on $Rs.(260-20)$ for a given time $=Rs.20$.
S.I. of $Rs.240$ for half the time $=Rs.10$.
T.D. on $Rs.250=Rs.10$.
$\therefore T.D.$ on $Rs.260=Rs.(\frac{10}{250}\times 260)=Rs.10.40$