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1. Sakshi invests a part of Rs. 12,000 in 12% stock at Rs. 120 and the remainder in 15% stock at Rs. 125. If his total dividend per annum is Rs. 1360, how much does he invest in 12% stock at Rs. 120?

A. Rs. 4000

B. Rs. 4500

C. Rs. 5500

D. Rs. 6000

Solution:

\begin{aligned} Let investment in 12 % stock be R s . x \\ Then, investment in 15 % stock \\ = R s . (12000 - x) \\ ∴ \frac{12}{120} \times x + \frac{15}{125} \times (12000 - x) \\ = 1360 \\ \Rightarrow \frac{x}{10} + \frac{3}{25} (12000 - x) = 1360 \\ \Rightarrow 5 x + 72000 - 6 x = 1360 \times 50 \\ \Rightarrow x = 4000 \end{aligned}

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