In what time will ₹ 10,000 amount to ₹ 13310 at 20%

In what time will ₹ 10,000 amount to ₹ 13310 at 20% per annum compounded half yearly?

Here , A = ₹ 13310 , P = ₹ 10,000
The rate of interest is compounded half yearly,
∴ r = 10% per half year

Let time =	T	years = T half years
	2

According to the question,

Amount = P		1 +	R		^t
			100

⇒ 13310 = 10000		1 +	10		^T
			100

⇒	13310	=		11		^T
	10000			10

⇒		11		^T	=	1331	=		11		³
		10				1000			10

⇒ T = 3 half years =1	1	years
	2