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Exercises · Q7

Q.A person invests in 300 shares of face value ₹10 each at a market price of ₹15 per share, with the company declaring a dividend of 20%. Find

(i) the total investment,
(ii) the annual dividend income, and
(iii) the rate of return on investment.
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✓ Free question

Step 1 — Find the total investment (uses market value). Investment=300×15=4,500\text{Investment} = 300\times15 = 4{,}500.

Step 2 — Find the annual dividend income (uses face value). Income=300×10×20100=3000×0.20=600\text{Income} = 300\times10\times\dfrac{20}{100} = 3000\times0.20=600.

Step 3 — Find the rate of return.

Rate of Return=6004500×100=600004500≈13.33%\text{Rate of Return} = \dfrac{600}{4500}\times100 = \dfrac{60000}{4500} \approx 13.33\%

Independent check. Since the share was bought at a premium (market price ₹15 is above the ₹10 face value), the chapter's rule predicts the actual return should fall below the nominal dividend rate of 20%20\%. The computed rate of return, 13.33%13.33\%, is indeed well below 20%20\% — confirming the premium-purchase reasoning.

✓Final answer

Total investment is ₹4,500; annual dividend income is ₹600; the rate of return is approximately 13.33%, well below the nominal 20% dividend rate because the shares were bought at a premium.

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