A lent 5000 to B for 2 years and 3000 to C for 4 years on

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A lent 5000 to B for 2 years and 3000 to C for 4 years on simple interest at the same rate of interest and received 2200 in all from both as interest. The rate of interest per annum is

Here , P₁ = ₹ 5000 , P₂ = ₹ 3000 , T₁ = 2 years , T₂ = 4 years and SI = ₹ 2200
Let the rate of interest per annum be r% .
According to the question,

⇒	5000 × 2 × R	+	3000 × 4 × R	= 2200
	100		100

⇒ 100r + 120r = 2200
⇒ 220 r = 2200
⇒ r = 2200 ÷ 220 = 10%