Sohan purchased an old scooter, and sold it for ₹ 28,000 thus gaining a 12% profit on the cost price. The cost price of the scooter is:

Options

A. ₹27,000
B. ₹30,000
C. ₹25,000
D. ₹26,000

Answer

To find the cost price of the scooter, we can follow these steps:

### Step 1: Understand the relationship between Selling Price, Cost Price, and Profit
We know that:
- Selling Price (SP) = Cost Price (CP) + Profit
- Profit = 12% of Cost Price

### Step 2: Set up the equations
Let the Cost Price be represented as \( CP \).

From the problem, we know that:
- Selling Price (SP) = ₹ 28,000
- Profit = 12% of \( CP \)

So, we can express the Selling Price as:
\[ SP = CP + (12\% \text{ of } CP) \]
\[ SP = CP + \frac{12}{100} \times CP \]
\[ SP = CP + 0.12 \times CP \]
\[ SP = 1.12 \times CP \]

### Step 3: Substitute the Selling Price into the equation
Now we substitute the Selling Price into the equation:
\[ 28,000 = 1.12 \times CP \]

### Step 4: Solve for Cost Price
To find \( CP \), we can rearrange the equation:
\[ CP = \frac{28,000}{1.12} \]

### Step 5: Calculate the Cost Price
Now, we perform the division:
\[ CP = \frac{28,000}{1.12} = 25,000 \]

### Conclusion
The Cost Price of the scooter is ₹ 25,000.

---