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In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of:

  • A.Rs. 3100
  • B.Rs. 6240
  • C.Rs. 6500
  • D.Rs. 9600

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 \( \tfrac{r}{m} \).

\[ \text{yield} = \frac{10}{96} \]

\[ \text{investment} = 650 \times \frac{96}{10} = \text{Rs. } 6240 \]

Each Rs. 96 invested returns Rs. 10, so the investment is the income scaled by \( \tfrac{96}{10} \).

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