Multiple choice

The simple interest on a sum for a certain number of years, where the rate percentage of the interest is equal to the sum itself. The number of years is equal to?

  1. 5

  2. 10

  3. 8

  4. 1
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

When Principal = P and Rate = P%, using SI = (P×R×T)/100 = (P×P×T)/100, if SI = P, then P²T/100 = P, giving PT/100 = 1, so T = 100/P. For the given options, only when P = 10 and T = 10 does this relationship hold consistently (10 = 100/10).

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