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1. Which is better investment: 11% stock at 143 or $9 \frac{3}{4}$ % stock at 117?

A. 11% stock at 143

B. $9 \frac{3}{4}$ % stock at 117

C. Both are equally good

D. Cannot be compared, as the total amount of investment is not given.

Solution:

\begin{aligned} Let investment in each case be \\ R s . (143 \times 117) \\ Income in 1^{st} case \\ = R s . (\frac{11}{143} \times 143 \times 117) \\ = R s . 1287 \\ Income in 2^{nd} case \\ = R s . (\frac{39}{4 \times 117} \times 143 \times 117) \\ = R s . 1394.25 \\ Clearly, 9 \frac{3}{4} % stock at 117 is better \end{aligned}

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