A company declares 8 percent dividend to the share holders. If a man receives `2840rs` as his dividend, find the nominal value of his shares.

Answer

To solve the problem step by step, we will follow the information given in the question and apply the relevant formulas.

### Step 1: Understand the Information Given
We know that:
- The rate of dividend is 8%.
- The total dividend received by the man is ₹2840.

### Step 2: Set Up the Formula
The formula for calculating the dividend is:
\[ \text{Dividend} = \left(\frac{\text{Rate of Dividend}}{100}\right) \times \text{Nominal Value of Shares} \]
Let the nominal value of the shares be \( x \).

### Step 3: Substitute the Known Values into the Formula
Substituting the known values into the formula, we have:
\[ 2840 = \left(\frac{8}{100}\right) \times x \]

### Step 4: Rearranging the Equation
To find \( x \), we can rearrange the equation:
\[ x = \frac{2840 \times 100}{8} \]

### Step 5: Calculate the Nominal Value
Now we perform the calculation:
\[ x = \frac{284000}{8} \]
\[ x = 35500 \]

### Conclusion
The nominal value of his shares is ₹35,500.

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