rs 20 is the true discount on rs 260 due after..., Discount, General Mathematics

Question:Rs. `20` is the true discount on `Rs. 260` due after a certain times. 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`

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+ AnswerB

+ ExplanationS.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. (10/250 xx 260)`

`= Rs. 10. 40.`

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