If Rs. 10 be allowed as true discount on a bill of Rs. 110

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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 ?

1. Rs. 20
2. Rs. 21.81
3. Rs. 22
4. Rs. 18.33

Correct Option: D

S.I on Rs. (110 - 10) for a given time = Rs. 10
S.I. on Rs. 100 for double the time = Rs. 20
Sum = Rs. (100 + 20) = Rs. 120
T.D. on Rs. 110 = Rs. (20/120) x 110 = Rs. 18.33