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

A lent 5000 Rs. to B for 2 years and 3000 Rs. to C for 4 years on simple interest at the same rate of interest and received 2200 Rs. in all from both as interest. The rate of interest per annum is :
[A]$7\frac{1}{8}\%$
[B]10%
[C]7%
[D]5%

10%
Let the rate of the interest per annum be r%
According to the question,
$\frac{5000\times 2\times r}{100}+\frac{3000\times 4\times r}{100} = 2200$
$=> 100r +120r = 2200$
$=> 220r = 2200$
$=> r = \frac{2200}{220} = 10\%$
Hence option [B] is the right answer.