In how many years will a sum of ₹ 800 at 10% per annum

In how many years will a sum of ₹ 800 at 10% per annum compound interest, compounded semi-annually becomes ₹ 926.10 ?

Here , P = ₹ 800 , A = ₹ 926.10 , Rate = 10% per annum = 5% half yearly
As we know that ,

A = P		1 +	R		^T
			100

⇒ 926.10 = 800		1 +	5		^T
			100

⇒	9261	=		21		^T
	8000			20

⇒		21		³	=		21		^T
		20					20

∴ Time = 3 half years = 1	1	years
	2