Ram lent ₹ 1200 to Shyam for 5 years and ₹ 1500

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Ram lent ₹ 1200 to Shyam for 5 years and ₹ 1500 to Mohan for 2 years received altogether ₹ 900 as interest. Find the rate per annum.

As per the given in question ,
SI = SI₁ + SI₂

SI =	P₁RT₁	+	P₂RT₂
	100		100

SI =	R	(P₁T₁ + P₂T₂)
	100

or, R =	100 × I
	P₁T₁ + P₂T₂

Here, SI = ₹ 900 , P₁ = ₹ 1200 , T₁ = 5 years , P₂ = ₹ 1500 , T₂ = 2 years

Rate =	100 × 900
	(1200 × 5) + (1500 × 2)

Rate =	90000
	9000

R = 10%.
Note : In case of more than two investment, sum the products of principal and time of each case.