The owner of a furniture shop charges his customer 18% more than the CP.If a customer paid र10207 for a dining table, then find its original price.

Options

A. र 9240
B. र 8650
C. र 9840
D. र 7670

Answer

To find the original price (cost price) of the dining table, we can follow these steps:

### Step 1: Understand the given information
The selling price (SP) of the dining table is given as ₹10,207. The owner charges 18% more than the cost price (CP).

### Step 2: Set up the relationship between SP and CP
Since the owner charges 18% more than the cost price, we can express the selling price in terms of the cost price:
\[ SP = CP + 18\% \text{ of } CP \]
This can be rewritten as:
\[ SP = CP \times \left(1 + \frac{18}{100}\right) \]
\[ SP = CP \times \frac{118}{100} \]

### Step 3: Substitute the known value of SP
We know that the selling price (SP) is ₹10,207. Therefore, we can set up the equation:
\[ 10,207 = CP \times \frac{118}{100} \]

### Step 4: Solve for CP
To find the cost price (CP), we rearrange the equation:
\[ CP = \frac{10,207 \times 100}{118} \]

### Step 5: Calculate the value
Now, we will perform the calculation:
\[ CP = \frac{10,207 \times 100}{118} = \frac{1,020,700}{118} \approx 8650 \]

### Step 6: Conclusion
The original price (cost price) of the dining table is ₹8,650.