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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:

Rs. 20
Rs. 21.81
Rs. 22
Rs. 18.33
Explanation:

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.$(\dfrac{20}{120} \times 110)=Rs.18.33$
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