Mr. Tiwari invested `29040rs` in `15%` `100rs` shares quoted at a premium of `20%`. Calculate
(i) the number of shares bought by Mr. Tiwari
(ii) Mr. Tiwari income from the investment
(iii) the percentage return on his investment

Answer

Let's solve the problem step by step.

### Given:
- Total investment = ₹29,040
- Nominal value of each share = ₹100
- Premium on shares = 20%
- Dividend rate = 15%

### Step 1: Calculate the Market Value of Each Share
The market value of each share can be calculated as follows:

\[ \text{Market Value} = \text{Nominal Value} + \text{Premium} \]

The premium is 20% of the nominal value:

\[ \text{Premium} = 20\% \text{ of } 100 = \frac{20}{100} \times 100 = ₹20 \]

Thus, the market value of each share is:

\[ \text{Market Value} = 100 + 20 = ₹120 \]

### Step 2: Calculate the Number of Shares Bought by Mr. Tiwari
To find the number of shares bought, we use the formula:

\[ \text{Number of Shares} = \frac{\text{Total Investment}}{\text{Market Value of Each Share}} \]

Substituting the values:

\[ \text{Number of Shares} = \frac{29,040}{120} = 242 \]

### Step 3: Calculate Mr. Tiwari's Income from the Investment
The nominal value of the shares bought is:

\[ \text{Nominal Value of 242 Shares} = 242 \times 100 = ₹24,200 \]

Now, we calculate the income (dividend) from the investment:

\[ \text{Income} = \text{Dividend Rate} \times \text{Nominal Value of Shares} \]

Substituting the values:

\[ \text{Income} = 15\% \text{ of } 24,200 = \frac{15}{100} \times 24,200 = ₹3,630 \]

### Step 4: Calculate the Percentage Return on His Investment
The percentage return can be calculated using the formula:

\[ \text{Percentage Return} = \left( \frac{\text{Income}}{\text{Total Investment}} \right) \times 100 \]

Substituting the values:

\[ \text{Percentage Return} = \left( \frac{3,630}{29,040} \right) \times 100 \approx 12.5\% \]

### Summary of Results:
(i) The number of shares bought by Mr. Tiwari = **242 shares**
(ii) Mr. Tiwari's income from the investment = **₹3,630**
(iii) The percentage return on his investment = **12.5%**

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