Discussion
By investing in 16% stock at 64, one earns Rs. 1500. The investment made is:
Answer: B
In stock problems, a "\( r\% \) stock at \( m \)" means Rs. 100 of face value costs Rs. \( m \) and pays Rs. \( r \) a year, so the yield on money invested is \( \tfrac{r}{m} \).
\[ \text{yield} = \frac{16}{64} = 25\% \]
\[ \text{investment} = \frac{1500}{0.25} = \text{Rs. } 6000 \]
Equivalently, every Rs. 64 invested returns Rs. 16, so \( 1500 \times \tfrac{64}{16} = 6000 \).
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