Chapter 3 · ICSE Class 10 Mathematics (Selina Concise)

Shares & Dividends

Understand the relationship between nominal value, market value, and dividends, and calculate returns on share investments.

📈 Chapter 3

How buying shares and receiving dividends works A person invests money to buy shares of a company, and in return receives a dividend, a portion of the company's profit, paid out each year Buy Shares Invest ₹ → Own Shares in the company → Dividend each year
3.1

Calculating Dividend Income

Dividend is always calculated on the nominal (face) value of shares, not the market value at which they're bought or sold.

1

A person owns 100 shares of nominal value ₹10 each, with a dividend rate of 8%. Find the annual dividend.

Total nominal value=1000; dividend=1000×0.08=₹80

2

If the market value of each share is ₹15, does this affect the dividend calculation?

No, dividend is calculated only on nominal value, so the dividend remains ₹80 regardless of market price

3.2

Return on Investment

Return on investment is calculated as (annual dividend / amount invested at market value) × 100, showing the effective yield.

1

A person invests ₹15,000 buying shares of nominal value ₹100 at a market price of ₹150 each, with 10% dividend rate. Find the number of shares and annual dividend.

Shares=15000/150=100; dividend=100×100×0.10=₹1,000

2

Find the rate of return on the investment above.

(1000/15000)×100≈6.67%

Practice

Exercises

1. A person owns 200 shares of nominal value ₹10, dividend rate 12%. Find the annual dividend.

2. A person invests ₹20,000 in shares of nominal value ₹100 at market price ₹200, dividend rate 8%. Find the number of shares.

3. Find the annual dividend for the shares above.

4. Find the rate of return on investment for the case above.

5. A person buys shares worth ₹100 nominal at a premium of ₹20 (i.e., market price ₹120). If dividend rate is 15%, find the return on investment.