ICSEClass XMathematicsShares And Dividends03 Mark2025 Moderate

QQuestion

A man bought ₹200 shares of a company at 25% premium. He received a return of 5% on his investment. Find:

(a) the market value of one share.

(b) the dividend percentage declared.

(c) the number of shares purchased if the annual dividend is ₹1,000.

Exam-ready answer 03 Mark

Answer

Face value of one share = ₹200

Premium = 25% of ₹200

⇒ Premium = \frac{25}{100} × ₹200

⇒ Premium = ₹50

(a) Market value = Face value + Premium

⇒ Market value = ₹200 + ₹50

⇒ Market value = ₹250

(b) Return on one share = 5% of ₹250

⇒ Return = \frac{5}{100} × ₹250

⇒ Return = ₹12.50

Let the dividend rate be r%.

₹12.50 = r% of ₹200

⇒ 12.50 = \frac{\mathrm{r}}{100} × 200

⇒ r = 6.25%

(c) Dividend on one share = ₹12.50

Number of shares = \frac{₹1,000}{₹12.50}

⇒ Number of shares = 80

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