A certain sum of money amounts to 756 in 2 years and to

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A certain sum of money amounts to 756 in 2 years and to 873 in 3 1
3
years at a certain rate of simple interest. The rate of interest per annum is

SI for 1	1	yrs = ₹(873 – 756) = ₹117
	2

S.I. for 2 years = ₹		117 ×	2	× 2		= ₹156
			3

∴ Principal = 756 – 156 = ₹600
Now, P = ₹ 600, T = 2 years , S.I. = ₹ 156

∴ R =	100 × S.I
	P × T

R =	100 × 156	= 13%
	600 × 2

Second method to solve this question :
Here , A₂ = ₹ 873 , T₁ = 2 years , A₁ = ₹ 756 , T₂ = 3.5 years = 7 / 2 years

Rate of interest =		A₁ - A₂		× 100
		A₂T₁ - A₁T₂

Rate of interest =		- 117		× 100
		1746 - 2646

Rate of interest =		- 117		× 100 = 13%
		- 900