A scooter was bought for Rs. 30000 and a repair charge of Rs. 3000 was incurred. It was sold for Rs. 39600. What was the profit percentage ?

Options

A. 10
B. 20
C. 25
D. 15

Answer

To find the profit percentage from the given information, we will follow these steps:

### Step 1: Calculate the Total Cost Price (CP)
The total cost price includes the purchase price of the scooter and the repair charges.

\[ \text{Total CP} = \text{Cost Price of Scooter} + \text{Repair Charges} \]
\[ \text{Total CP} = 30000 + 3000 = 33000 \]

### Step 2: Identify the Selling Price (SP)
The selling price of the scooter is given as:

\[ \text{SP} = 39600 \]

### Step 3: Calculate the Profit
Profit is calculated by subtracting the total cost price from the selling price.

\[ \text{Profit} = \text{SP} - \text{CP} \]
\[ \text{Profit} = 39600 - 33000 = 6600 \]

### Step 4: Calculate the Profit Percentage
The profit percentage is calculated using the formula:

\[ \text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{CP}} \right) \times 100 \]
\[ \text{Profit Percentage} = \left( \frac{6600}{33000} \right) \times 100 \]

### Step 5: Simplify the Calculation
Now, we simplify the fraction:

\[ \text{Profit Percentage} = \left( \frac{6600 \div 3300}{33000 \div 3300} \right) \times 100 = \left( \frac{2}{10} \right) \times 100 = 20\% \]

### Final Answer
The profit percentage is **20%**.

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