The simple interest on a sum of money is 1 / 16 of the principal

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The simple interest on a sum of money is 1 / 16 of the principal and the number of years is equal to the rate per cent annum. Find the rate per cent.

1. 2¹/₂
2. 3¹/₂ %
3. 4¹/₂ %
4. 9¹/₂ %
5. None of the above

Correct Option: A

Let principal = P, time = T and rate = T
According to the question,
(P x T x T) / 100 = P/16 [∵ time and rate are equal]
⇒ T² = 100/16
or T = 10/4 = 5/2 = 2¹/₂ %