ICSEClass XMathematicsShares And Dividends03 Mark2024 Moderate

QQuestion

Mr Gupta invested ₹33,000 in buying ₹100 shares of a company at 10% premium. The dividend declared by the company is 12%.

Find:

(a) the number of shares purchased by him.

(b) his annual dividend.

Exam-ready answer 03 Mark

Answer

Money invested = ₹33,000

Nominal value of each share = ₹100

Premium = 10%

Premium on each share = \frac{10}{100} × ₹100

⇒ Premium on each share = ₹10

Market value of each share = Nominal value + Premium

⇒ Market value = ₹100 + ₹10

⇒ Market value = ₹110

(a) Number of shares = Money invested/Market value per share

⇒ Number of shares = \frac{33000}{110}

⇒ Number of shares = 300

(b) Dividend on one share = \frac{12}{100} × ₹100

⇒ Dividend on one share = ₹12

Annual dividend = 300 × ₹12

⇒ Annual dividend = ₹3,600

Therefore, 300 shares were purchased and the annual dividend is ₹3,600.

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