The compound interest on a certain sum of money for 2 years

The compound interest on a certain sum of money for 2 years at 5% per annum is ₹ 410. The simple interest on the same sum at the same rate and for the same time is

Here , Compound Interest ( CI ) = ₹ 410 , Rate ( R ) = 5% , Time = 2 years

Compound interest = P			1 +	R		^T	− 1
				100

⇒ 410 = P			1 +	5		²	− 1
				100

⇒ 410 = P			1 +	1		²	− 1
				20

⇒ 410 = P			21		²	− 1
			20

⇒ 410 = P		441	− 1
		400

⇒ 410 = P		41
		400

⇒ P =	410 × 400	= ₹ 4000
	41

∴ S.I.=	Principal × Time × Rate
	100

S.I. =	4000 × 2 × 5	= ₹ 400
	100

We can find required answer with the help of given formula :
Here, C.I. = Rs. 410 , R = 5% , S.I. = ?

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

410 = S.I.		1 +	5
			200

410 = S.I.		205
		200

S.I. =	410 × 200	= Rs.400
	205