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1. If Rs. 10 be allowed as true discount on a bill of Rs. 110 due at the end of a certain time, then the discount allowed on the same sum due at the end of double the time is:

A. Rs. 20

B. Rs. 21.81

C. Rs. 22

D. Rs. 18.33

Solution:

S.I. on Rs. (110 - 10) for a certain time = Rs. 10.
S.I. on Rs. 100 for double the time = Rs. 20.
T.D. on Rs. 120 = Rs. (120 - 100) = Rs. 20.

\begin{aligned} T .D . on Rs . 110 \\ = R s . (\frac{20}{120} \times 110) \\ = R s . 18.33 \end{aligned}

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