At some rate of simple interest, A lent Rs. 6000 to B for 2 years and Rs. 1500 to C for 4 years and received Rs. 900 as interest from both of them together. The rate of interest per annum was:

At some rate of simple interest, A lent Rs. 6000 to B for 2 years and Rs. 1500 to C for 4 years and received Rs. 900 as interest from both of them together. The rate of interest per annum was:
[A]5%
[B]10%
[C]6%
[D]8%

5%
If rate of interest be R% p.a. then,
S.I. = \frac{Principal\times Time\times Rate}{100}
\therefore \frac{6000\times 2\times R}{100}+\frac{1500\times 4\times R}{100}=900
=>120R+60R=900
=>180R=900
=>R=\frac{900}{180}= 5%
Hence option [A] is the right answer.

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