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If a sum doubles in four years at the ra...

If a sum doubles in four years at the rate of `R%` per annum simple interest, then `3R=____________.`

A

30

B

45

C

75

D

90

Text Solution

Verified by Experts

The correct Answer is:
C

Let the sum be P=Rs. 100.
As given, P=Rs. 100, A=Rs. 200, T = 4 years.
Then, `SI=A-P=Rs. 200-Rs.100=Rs.100`
We have `SI=(PTR)/(100)`
`implies100=(100xx4xxR)/(100)impliesR=(100)/(4)=25implies3R=75`
Hence, the correct option is ( c ).
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