If the compound interest on a sum of money for 3 years at

If the compound interest on a sum of money for 3 years at the rate of 5% per annum is ₹ 252.20, the simple interest on the same sum at the same rate and for the same time is

Suppose principal be P .
Here , Principal ( P ) = ? , Compound Interest ( CI ) = ₹ 252.20 , Rate ( R ) = 5% , Time = 3 years

⇒ P			1 +	5		³	− 1		= 252.20
				100

⇒ P			21		³	− 1		= 252.20
			20

⇒ P			21 × 21 × 21 − 20 × 20 × 20		= 252.20
			20 × 20 × 20

⇒ P ×	1261	= 252.20
	8000

∴ P =	252.20 × 8000	= 1600
	1261

∴ SI =	P × R × T
	100

⇒ SI =	1600 × 5 × 3	= ₹ 240
	100