If a shopkeeper buys a dozen chair for Rs 7200 and sells each chair for Rs 708, what will be his profit percentage?

Options

A. `18%`
B. `16%`
C. `14%`
D. `12%`

Answer

To solve the problem of finding the profit percentage for the shopkeeper, we can follow these steps:

### Step 1: Determine the Cost Price (CP) of one chair.
The shopkeeper buys a dozen chairs (12 chairs) for Rs 7200.
To find the cost price of one chair, we divide the total cost by the number of chairs.

\[ \text{Cost Price of one chair} = \frac{\text{Total Cost}}{\text{Number of Chairs}} = \frac{7200}{12} = 600 \text{ Rs} \]

### Step 2: Determine the Selling Price (SP) of one chair.
The selling price of one chair is given as Rs 708.

### Step 3: Calculate the Total Selling Price (TSP) for 12 chairs.
To find the total selling price for all 12 chairs, we multiply the selling price of one chair by the number of chairs.

\[ \text{Total Selling Price} = \text{Selling Price of one chair} \times \text{Number of Chairs} = 708 \times 12 = 8496 \text{ Rs} \]

### Step 4: Calculate the Profit.
Profit can be calculated by subtracting the total cost price from the total selling price.

\[ \text{Profit} = \text{Total Selling Price} - \text{Total Cost Price} = 8496 - 7200 = 1296 \text{ Rs} \]

### Step 5: Calculate the Profit Percentage.
The profit percentage is calculated using the formula:

\[ \text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{Cost Price}} \right) \times 100 \]

Substituting the values we have:

\[ \text{Profit Percentage} = \left( \frac{1296}{7200} \right) \times 100 \]

Calculating this gives:

\[ \text{Profit Percentage} = \left( 0.18 \right) \times 100 = 18\% \]

Thus, the profit percentage is **18%**.

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