Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Financial Mathematics

Question:

Mukul invests Rs 9000 in a company paying a dividend of 6% per annum when a share of face value Rs 100 stands at Rs 150. What is his annual income? He sells 50% of his shares when the price rises to Rs 200. What is his gain on his transaction?

Options:

₹1700

₹1600

₹1400

₹1500

Correct Answer:

₹1500

Explanation:

The correct answer is option (4) : ₹1500

Total investment = $₹9000$

Market price of 1 share $= ₹ 150$

∴ No. of shares bought $=\frac{9000}{150}= 60$

Dividend on 1 share = 6% of $₹100 = ₹6$

∴ Dividend on 60 shares $= ₹ (6×60) = ₹360$

He sold 50% i.e 30 shares at ₹ 200

Selling value of 30 shares at ₹200

$= ₹ (30 ×200)$

$=₹600$

Purchasing value of 30 shares $=₹(150×30)$

$=₹4500$

Gain on this transaction $= ₹ 6000- ₹4500$

$= ₹ 1500$