Rajan sold an article for र 6000 at a loss of 25%. Find the cost price.

Options

A. र 7500
B. र 7200
C. र 8000
D. र 8500

Answer

To find the cost price (CP) of the article that Rajan sold for Rs. 6000 at a loss of 25%, we can follow these steps:

### Step 1: Understand the relationship between Selling Price (SP), Cost Price (CP), and Loss.
The relationship can be expressed as:
\[ SP = CP \times \left(1 - \frac{\text{Loss Percentage}}{100}\right) \]

### Step 2: Substitute the known values into the equation.
Given:
- Selling Price (SP) = Rs. 6000
- Loss Percentage = 25%

We can substitute these values into the equation:
\[ 6000 = CP \times \left(1 - \frac{25}{100}\right) \]

### Step 3: Simplify the equation.
Calculate \(1 - \frac{25}{100}\):
\[ 1 - \frac{25}{100} = 1 - 0.25 = 0.75 \]

Now, substitute this back into the equation:
\[ 6000 = CP \times 0.75 \]

### Step 4: Solve for the Cost Price (CP).
To find CP, divide both sides of the equation by 0.75:
\[ CP = \frac{6000}{0.75} \]

### Step 5: Calculate the value.
Now, perform the division:
\[ CP = \frac{6000}{0.75} = 6000 \times \frac{100}{75} = 6000 \times \frac{4}{3} = 8000 \]

### Conclusion:
The cost price (CP) of the article is Rs. 8000.

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