If the compound interest on a certain sum for 2 years at

If the compound interest on a certain sum for 2 years at 3% per annum is ₹ 101.50, then the simple interest on the same sum at the same rate and for the same time will be

Let the sum be P.
Given Here , Compound Interest ( CI ) = ₹ 101.50 , Rate ( R ) = 3% , Time = 2 years
Using the given formula ,

C.I. = P			1 +	r		ⁿ	− 1
				100

101.50 = P			1 +	3		²	− 1
				100

⇒ 101.50 = P			103		²	− 1
			100

⇒ 101.50 = P		10609 - 10000
		10000

⇒ P = ₹	101.50 × 10000
	609

P = ₹	1015000
	609

∴ S.I. =	P × R × T
	100

⇒ S.I. =	1015000 × 2 × 3	= ₹ 100
	609 × 100

We can find required answer with the help of given formula :
Here, C.I. = Rs 101.50 , R = 3% , S.I. = ?

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

101.50 = S.I.		1 +	3
			200

S.I. =	101.50 × 200	= ₹ 100
	203