Discussion
Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.85. How much was lent at 5%?
Answer: D
Let \( p \) be the part at 6%; the rest, \( 1500 - p \), earns 5%.
\[ 0.06p + 0.05(1500 - p) = 85 \]
\[ 0.06p + 75 - 0.05p = 85 \quad\Longrightarrow\quad 0.01p = 10 \]
\[ p = \text{Rs. } 1000 \text{ at } 6\% \]
\[ \text{lent at } 5\% = 1500 - 1000 = \text{Rs. } 500 \]
The question asks for the 5% part, so the Rs. 1000 found first is not the answer.
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