At some rate of simple interest, A lent 6,000 to B for 2

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At some rate of simple interest, A lent 6,000 to B for 2 years and 1,500 to C for 4 years and received 9,00 as interest from both of them together. The rate of interest per annum was

Here , P₁ = ₹ 6000 , P₂ = ₹ 1500 , T₁ = 2 years , T₂ = 4 years and SI = ₹ 900
If rate of interest be R% per annum then,

SI =	Principal × Time × Rate
	100

∴ 900 =	6000 × 2 × R	+	1500 × 4 × R
	100		100

⇒ 120R + 60R = 900
⇒ 180R = 900
⇒ R = 900 ÷ 180 = 5%