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Mathematics

Salman invests a sum of money in ₹ 50 shares, paying 15% dividend quoted at 20% premium. If his annual dividend is ₹ 600, calculate :

(i) the number of shares he bought.

(ii) his total investment.

(iii) the rate of return on his investment.

Shares & Dividends

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Answer

(i) Let no. of shares be x.

Annual income = No. of shares × Rate of div. × N.V. of 1 share

600 = x ×15100×50\times \dfrac{15}{100} \times 50

x = 120015\dfrac{1200}{15} = 80.

Hence, no. of shares = 80.

(ii) M.V. = ₹ 50 + 20100×50\dfrac{20}{100} \times 50 = ₹ 50 + ₹ 10 = ₹ 60

Total investment = 80 × ₹ 60 = ₹ 4,800.

Hence, total investment = ₹ 4,800.

(iii) Annual income = ₹ 600.

Return % = IncomeInvestment×100=6004800×100=12.5\dfrac{\text{Income}}{\text{Investment}} \times 100 = \dfrac{600}{4800} \times 100 = 12.5%

Hence return % = 12.5%.

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