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1. Rs. 9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of incomes. The investment in 9% stock is:

A. Rs. 4800

B. Rs. 5000

C. Rs. 5400

D. Rs. 5600

Solution:

\begin{aligned} Let the ivestment in 9 % stock be R s . x \\ Then, investment in 10 % stock \\ = R s . (9800 - x) \\ \frac{9}{75} \times x = \frac{10}{80} \times (9800 - x) \\ \Rightarrow \frac{3 x}{25} = \frac{9800 - x}{8} \\ \Rightarrow 24 x = 9800 \times 25 - 25 x \\ \Rightarrow 49 x = 9800 \times 25 \\ \Rightarrow x = 5000 \end{aligned}

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