Q.A person invests ₹24,000 in the shares of a company of face value ₹100, quoted at ₹120, paying a 9% dividend. Find

The number of shares purchasable is the investment divided by the market value; dividend and yield then follow from the face value and market value respectively.

(i) $n = 24000/120 = 200$ shares. (ii) Dividend per share $= 9\%$ of $100 = ₹9$; total $= 200\times9=₹1{,}800$. (iii) Yield $= (9/120)\times100 = 7.5\%$.

1. Number of shares purchased

   $n = \frac{\text{Investment}}{\text{Market Value}} = \frac{24{,}000}{120} = 200 \text{ shares}$

2. Annual dividend income Dividend per share (on FACE value ₹100, at 9%):

   $\frac{9}{100}\times100 = ₹9$

   Total dividend for 200 shares:

   $200 \times 9 = ₹1{,}800$

3. Yield percentage

   $\text{Yield \%} = \frac{9}{120}\times100 = \frac{900}{120} = 7.5\%$

   Check (independent recomputation): verify via total figures directly — total investment ₹24,000 earns total dividend ₹1,800, so yield $= \dfrac{1800}{24000}\times100 = 7.5\%$, exactly matching the per-share calculation.
   ✓Final answer

   (i) 200 shares (ii) ₹1,800 annual dividend (iii) Yield = 7.5%

Cross-check using totals directly: total dividend ÷ total investment × 100 = (200×9) ÷ 24000 × 100 = 1800/24000 × 100 = 7.5%, the same yield obtained per-share — confirming the per-share and total-based routes always agree.

Using the face value (₹100) instead of the market value (₹120) to find the number of shares purchased, which would wrongly give $24000/100=240$ shares. Also computing yield using the face value in the denominator instead of the market value, which would wrongly reproduce the dividend rate of 9% instead of the true 7.5% yield.