Discussion
What is the investment made if one invests in 15% stock at 50 and earns Rs.2000?
Answer: C
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 \( \tfrac{r}{m} \).
\[ \text{yield} = \frac{15}{50} = 30\% \]
\[ \text{investment} = \frac{\text{income}}{\text{yield}} = \frac{2000}{0.30} \]
\[ = \text{Rs. } 6666.67 \]
Equivalently, every Rs. 50 invested earns Rs. 15, so \( 2000 \times \tfrac{50}{15} = 6666.67 \).
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