In what time ₹ 8,000 will amount to ₹ 9,261 at 10% per

In what time ₹ 8,000 will amount to ₹ 9,261 at 10% per annum compound interest, when the interest is compounded half yearly ?

Interest is compounded half yearly.
Given that , P = ₹ 8000 , A = ₹ 9261 , Rate of interest = 5%

Let Time =	n	years or n half-years
	2

Using the given formula ,

A = P		1 +	R		^T
			100

⇒ 9261 = 8000		1 +	5		ⁿ
			100

⇒	9261	=		21		ⁿ
	8000			20

⇒		21		³	=		21		ⁿ
		20					20

⇒ n = 3 half years =	3	years = 1	1	years
	2		2