The simple interest on a sum of money at 4% per annum for

The simple interest on a sum of money at 4% per annum for 2 years is ₹ 80. The compound interest in the same sum for the same period is

Given that , S.I. = ₹ 80 , Time = 2 years , Rate = 4%
We know that ,

Principal =	S.I. × 100
	Time × Rate

Principal =	80 × 100	= 1000
	2 × 4

∴ C.I. = P			1 +	R		^T	− 1
				100

C.I. = 1000			1 +	4		²	− 1
				100

C.I. = 1000			26		²	− 1
			25

C.I. = 1000		676	− 1
		625

C.I. = 1000		676 − 625
		625

C.I. =	1000 × 51	= ₹ 81.60
	625

We can find required answer with the help of given formula :
Here, S.I. = ₹ 80, R = 4%, C.I. = ?

C.I. = S.I.		1 +	R
			200

C.I. = 80		1 +	4
			200

C.I. = 80		1 +	1
			50

C.I. = 80 ×	51	= ₹ 81.60
	50