If Rs. 10 be allowed as true discount on a bill of Rs. 110 due at the end of a c

Question

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:

Options:

A . Rs. 20

B . Rs. 21.81

C . Rs. 22

D . Rs. 18.33

Answer: Option D

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.

T.D. on Rs. 110 = Rs. \(\left(\frac{20}{120}\times110\right)\) = Rs. 18.33

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