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Rs. 20 is the true discount on Rs. 260 due after a certain time. What will be the true discount on the same sum due after half of the former time, the rate of interest being the same?

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1. 

Rs. 20 is the true discount on Rs. 260 due after a certain time. What will be the true discount on the same sum due after half of the former time, the rate of interest being the same?

[A]. Rs. 10
[B]. Rs. 10.40
[C]. Rs. 15.20
[D]. Rs. 13

Answer: Option B

Explanation:

S.I. on Rs. (260 - 20) for a given time = Rs. 20.

S.I. on Rs. 240 for half the time = Rs. 10.

T.D. on Rs. 250 = Rs. 10.

 T.D. on Rs. 260 = Rs. 1-sym-oparen-h1 10 x 260 1-sym-cparen-h1 = Rs. 10.40
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