The owner of a shop marked his good 15% more than the cost price. If a customer paid Rs 7889/- for a sofa. What is the cost price of Sofa ?

Options

A. Rs 6680/-
B. Rs 6860/-
C. Rs. 6480/-
D. Rs. 6280/-

Answer

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

### Step 1: Define the Cost Price
Let the cost price (CP) of the sofa be represented as \( CP = x \).

### Step 2: Calculate the Marked Price
The owner marked the sofa 15% more than the cost price. Therefore, the marked price (MP) can be calculated as:
\[ MP = CP + 15\% \text{ of } CP = x + 0.15x = 1.15x \]

### Step 3: Set Up the Equation
According to the problem, the customer paid Rs 7889 for the sofa, which is equal to the marked price. So, we can set up the equation:
\[ 1.15x = 7889 \]

### Step 4: Solve for Cost Price
To find the cost price \( x \), we can rearrange the equation:
\[ x = \frac{7889}{1.15} \]

### Step 5: Calculate the Value
Now, we will perform the division:
\[ x = \frac{7889}{1.15} \approx 6860 \]

### Conclusion
Thus, the cost price of the sofa is approximately Rs 6860.

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