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 per annum. The rate per annum is
The simple interest on a sum of money is

Let the annual rate of interest = r%
Time = r years
Let the principal be p .
∴ Interest = p/16
According to the question,

p	=	p × r × r
16	=	100

[∵ r = t]
⇒ 16r² = 100

⇒ r² =	100
	16

⇒ r² =	25
	4

∴ r = √25 / 4 =	5
	2

r = 2	1	%
	2

Second method to solve this question :

Here, n =	1	, R = T
	16

RT = n × 100

R² =	100
	16

∴ R = √100 / 16

⇒ R =	10
	4

R = 2	1	%
	2