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Mathematics

A man invests ₹ 24,000 on ₹ 60 shares at a discount of 20%. If the dividend declared by the company is 10%, then his annual income is :

  1. ₹ 2,880

  2. ₹ 1,500

  3. ₹ 3,000

  4. None of these

Shares & Dividends

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Answer

Given,

Investment = ₹ 24,000

Face Value = ₹ 60

Dividend rate = 10%

Discount = 20% of 60 = 20100×60\dfrac{20}{100} \times 60 = ₹ 12

Market Value = Face Value - Discount = 60 - 12 = ₹ 48.

By formula,

Number of shares= Investment  Market value of each share=2400048=500.Annual dividend=No. of shares×Rate of div.× N.V. of 1 share=500×10100×60=₹ 3,000.\text{Number of shares} = \dfrac{\text{ Investment }}{\text{ Market value of each share}}\\[1em] = \dfrac{24000}{48} \\[1em] = 500. \\[1em] \text{Annual dividend} = \text{No. of shares} \times \text{Rate of div.} \times \text{ N.V. of 1 share}\\[1em] = 500 \times \dfrac{10}{100} \times 60 \\[1em] = ₹\ 3,000.

Hence, Option 3 is the correct option.

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