Ever wondered why companies hand out cash to shareholders? It’s not magic – it’s just maths!

💡 In Simple Words: A share is a tiny piece of a company that you can own. When the company makes profit, it may give some of that money back to you – that’s called a dividend.

What are Shares?

A share (also called a stock) represents a unit of ownership in a business. If a company has 1,000 shares and you own 10 of them, you own 1% of that company. Think of it like a pizza cut into slices – each slice is a share.

Types of Shares

In commercial maths you usually meet two kinds:

  • Equity shares – give you voting rights and a claim on profits after all other obligations are met.
  • Preference shares – usually don’t let you vote, but you get a fixed dividend before equity shareholders.
FeatureEquity SharesPreference Shares
Voting RightYesNo
DividendVariable, depends on profitFixed, set percentage
RiskHigher – gets profit after preferencesLower – gets dividend first
ConversionCan be converted to preference in some companiesUsually cannot be converted

Dividends – The Cash Bonus

A dividend is the share of profit that a company decides to give its shareholders. It’s like a thank‑you gift for investing your money.

How Dividend is Declared

The board of directors meets, looks at the profit, and announces a dividend rate (the percentage of profit to be paid). This decision is recorded in a dividend warrant – a formal notice.

Dividend per Share Formula

The key formula you’ll use in exams is:

Dividend per Share = Total Dividend ÷ Number of Shares

Where Total Dividend = (Dividend Rate % × Net Profit). Let’s walk through an example.

Worked Example

ABC Ltd. earned a net profit of ₹5,00,000 for the year. The board declares a dividend of 8 %. The company has issued 25,000 equity shares. Find the dividend per share.

  1. Calculate total dividend: 8 % of ₹5,00,000 = 0.08 × 5,00,000 = ₹40,000.
  2. Divide by number of shares: ₹40,000 ÷ 25,000 = ₹1.60 per share.

So each shareholder receives ₹1.60 for every share they own.

graph TD A[Start] --> B[Determine Net Profit] B --> C[Decide Dividend Rate] C --> D[Compute Total Dividend] D --> E[Count Total Shares] E --> F[Divide to get Dividend per Share] F --> G[End]

Quick Tips & Common Mistakes

  • Always convert the dividend rate to a decimal before multiplying (8 % → 0.08).
  • Use the same units for profit and dividend – don’t mix rupees with thousands.
  • If the question mentions “pre‑emptive right”, remember it only affects the number of shares, not the dividend formula.
  • Check whether the dividend is on equity shares only; preference shares have a fixed rate that is usually given separately.
  • Round off only at the final step, not after each intermediate calculation.

📝 Likely Exam Questions

  1. Question: A company has a net profit of ₹12 lakhs and declares a 5 % dividend. It has 60,000 equity shares. Find the dividend per share.
    Answer: Total dividend = 0.05 × 12,00,000 = ₹60,000. Dividend per share = 60,000 ÷ 60,000 = ₹1.
  2. Question: Explain the difference between equity shares and preference shares in two points each.
    Answer: Equity shares give voting rights and variable dividend; preference shares have no voting rights and a fixed dividend.
  3. Question: If a firm pays a dividend of ₹2 per share on 15,000 shares, what is the total dividend paid?
    Answer: Total dividend = ₹2 × 15,000 = ₹30,000.
  4. Question: A company’s board decides to retain 70 % of profit and distribute the rest as dividend. Net profit is ₹8 lakhs and there are 40,000 shares. Find the dividend per share.
    Answer: Dividend portion = 30 % of 8,00,000 = ₹2,40,000. Dividend per share = 2,40,000 ÷ 40,000 = ₹6.
  5. Question: List three reasons why a company might choose not to pay any dividend in a particular year.
    Answer: (i) To reinvest profit for expansion, (ii) to strengthen reserves for future uncertainties, (iii) because the profit is insufficient to meet a reasonable dividend.
#ICSE#Class 10#Mathematics#Commercial Mathematics#Shares#Dividends