A man invests `800rs` in buying `5rs` shares and when they are selling at a premium of `1.15rs`, he sells all the shares. Find his profit and profit percent.

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Determine the nominal value of one share
The nominal value of one share is given as ₹5.

### Step 2: Calculate the market value of one share
The market value of one share is calculated by adding the nominal value and the premium:
\[ \text{Market Value} = \text{Nominal Value} + \text{Premium} = 5 + 1.15 = 6.15 \text{ Rs} \]

### Step 3: Calculate the total number of shares purchased
The total investment is ₹800. To find the number of shares purchased, we divide the total investment by the nominal value of one share:
\[ \text{Number of Shares} = \frac{\text{Total Investment}}{\text{Nominal Value}} = \frac{800}{5} = 160 \]

### Step 4: Calculate the market value of all shares
Now, we calculate the total market value of the shares purchased:
\[ \text{Market Value of 160 Shares} = \text{Number of Shares} \times \text{Market Value} = 160 \times 6.15 = 984 \text{ Rs} \]

### Step 5: Calculate the profit
Profit is calculated by subtracting the total investment from the market value of the shares:
\[ \text{Profit} = \text{Market Value} - \text{Total Investment} = 984 - 800 = 184 \text{ Rs} \]

### Step 6: Calculate the profit percentage
Profit percentage is calculated based on the total investment:
\[ \text{Profit Percentage} = \left(\frac{\text{Profit}}{\text{Total Investment}}\right) \times 100 = \left(\frac{184}{800}\right) \times 100 = 23\% \]

### Final Results
- Profit: ₹184
- Profit Percentage: 23%

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