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Mathematics

How much should a man invest in ₹ 50 shares selling at ₹ 60 to obtain an income of ₹ 450, if the rate of dividend declared is 10%. Also find his yield percent, to the nearest whole number.

Shares & Dividends

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Answer

Let investment = ₹ x.

M.V. = ₹ 60

No. of shares = x60\dfrac{x}{60}

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

450 = x60×10100×50\dfrac{x}{60} \times \dfrac{10}{100} \times 50

x = 450 × 12 = 5,400

Yield % = IncomeInvestment×100=4505400×100\dfrac{\text{Income}}{\text{Investment}} \times 100 = \dfrac{450}{5400} \times 100 = 8.33% ≈ 8%.

Hence, investment = ₹ 5,400 and yield % = 8%.

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