Discussion
Rs.2500 is divided into two parts such that if one part be put out at 5% simple interest and the other at 6%, the yearly annual income may be Rs.140. How much was lent at 5%?
Answer: D
Let \( p \) be the part at 5%; the rest, \( 2500 - p \), earns 6%.
\[ 0.05p + 0.06(2500 - p) = 140 \]
\[ 0.05p + 150 - 0.06p = 140 \quad\Longrightarrow\quad -0.01p = -10 \]
\[ p = \text{Rs. } 1000 \]
Checking: Rs. 50 from the 5% part and Rs. 90 from the Rs. 1500 at 6%.
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