If A purchase 9 chairs for Rs. 5 and sells all the chairs at the rate of 5 chairs for Rs 9, then what will be the profit percentage?

Options

A. 212
B. 224
C. 248
D. 194

Answer

To solve the problem step by step, let's break it down:

### Step 1: Calculate the Cost Price (CP)
A purchases 9 chairs for Rs. 5. Therefore, the cost price (CP) for 9 chairs is Rs. 5.

### Step 2: Calculate the Selling Price (SP)
A sells the chairs at the rate of 5 chairs for Rs. 9. To find the selling price for all 9 chairs, we first need to determine how many sets of 5 chairs are in 9 chairs.

- Number of sets of 5 chairs in 9 chairs = 9 / 5 = 1.8 sets
- Selling price for 1 set of 5 chairs = Rs. 9
- Therefore, selling price for 1.8 sets = 1.8 * 9 = Rs. 16.2

### Step 3: Calculate the Profit
Profit is calculated as:
\[ \text{Profit} = \text{Selling Price} - \text{Cost Price} \]
\[ \text{Profit} = 16.2 - 5 = 11.2 \]

### Step 4: Calculate the Profit Percentage
Profit percentage is calculated using the formula:
\[ \text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{Cost Price}} \right) \times 100 \]
\[ \text{Profit Percentage} = \left( \frac{11.2}{5} \right) \times 100 = 224\% \]

### Final Answer
The profit percentage is **224%**.

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