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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 as interest. The rate of interest per annum is =

a) 7%
b) 5%
c) $$7\frac{1}{8}$$ %
d) 10%

Answer: d
Explanation:
$$\eqalign{ & {\text{Let rate }}\% {\text{ = R}} \cr & \frac{{5000 \times 2 \times {\text{R}}}}{{100}} + \frac{{3000 \times 4 \times {\text{R}}}}{{100}} = 2200 \cr & 100{\text{R}} + 120{\text{R}} = 2200 \cr & 220{\text{R}} = 2200 \cr & {\text{R}} = 10\% \cr & {\text{Required rate}}\% \cr & = 10\% \cr} $$

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