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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:

Option :

Explanation:

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.
$\begin{array}{rl}& \text{T}\text{.D}\text{.}\phantom{\rule{thinmathspace}{0ex}}\text{on}\phantom{\rule{thinmathspace}{0ex}}\text{Rs}\text{.}\phantom{\rule{thinmathspace}{0ex}}\text{110}\\ & =Rs.\phantom{\rule{thinmathspace}{0ex}}\left(\frac{20}{120}×110\right)\\ & =Rs.\phantom{\rule{thinmathspace}{0ex}}18.33\end{array}$