Discussion
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?
Answer: D
\[ \text{SI} = \frac{P \times R \times T}{100} \]
Both loans share one rate \( R \), so add the two interests.
\[ \frac{5000 \times R \times 2}{100} + \frac{3000 \times R \times 4}{100} = 2200 \]
\[ 100R + 120R = 2200 \quad\Longrightarrow\quad 220R = 2200 \]
\[ R = 10\% \]
Checking: Rs. 1000 from B and Rs. 1200 from C.
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