If the amount is 33times the sum after 3 years at compound

If the amount is 3 3 times the sum after 3 years at compound interest
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compounded annually, then the rate of interest per annum is

Given that , Time = 3 years , Rate = R%
Let Principal be P .

A = P		1 +	R		^T
			100

From the question ,

⇒	27	P = P		1 +	R		³
	8				100

⇒		3		³	=		1 +	R		³
		2						100

⇒ 1 +	R	=	3
	100		2

⇒	R	=	3	− 1 =	1
	100		2		2

⇒ R =	1	× 100
	2

∴ R = 50%
Using the given formula :

Here , n =	27	, t = 3 years
	8

R% = (n^1/n − 1) × 100%

R% =			27		^1/3	− 1		× 100
			8

R% =			3		− 1		× 100
			2

R% =		1		× 100 = 50%
		2

If the amount is 3	3	times the sum after 3 years at compound interest
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