Question discussion

A certain sum becomes four times itself at simple interest in eight years. In how many years does it become ten times itself?

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A certain sum becomes four times itself at simple interest in eight years. In how many years does it become ten times itself?
  • A21
  • B25
  • C23
  • DNone of these
Correct answer: D

Discussion 1

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CCommunity
None of these

Let the sum be Rs. x, then it becomes Rs. 4x in eight years Rs. 3x is the interest on x for eight years.
R = (100 * 3x)/(x * 8) = 300/8 %
If the sum becomes ten times itself, then interest is 9x.
The required time period = (100 * 9x)/(x * 300/8) = (100 * 9x * 8)/(x * 300) = 24 years.