Discussion
A lends Rs. 2500 to B and a certain to C at the same time at 7% p.a. simple interest. If after 4 years, A altogether receives Rs. 1120 as interest from B and C, then the sum lent to C is?
Answer: B
\[ \text{SI} = \frac{P \times R \times T}{100} \]
Work out B's share of the interest first.
\[ \frac{2500 \times 7 \times 4}{100} = \text{Rs. } 700 \]
\[ \text{from C} = 1120 - 700 = \text{Rs. } 420 \]
\[ 420 = \frac{C \times 7 \times 4}{100} = 0.28C \quad\Longrightarrow\quad C = \text{Rs. } 1500 \]
Both loans run at the same rate for the same time, so their interests are in proportion to the sums.
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