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

Explanation:

Let the rate be R% p.a.

Then, $\frac{\left(5000\times R\times 2\right)}{100}+\frac{3000\times R\times 4}{100}=2200$

⇒ 100R + 120R = 2200

⇒ R = 2200/220 = 10.

∴ Rate = 10%.

Hence, option (d).

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