An article is sold for Rs 8400 at a loss of `25%`, what is the cost price (in Rs) of the article

Options

A. 14400
B. 12400
C. 11200
D. 10800

Answer

To find the cost price of an article sold for Rs. 8400 at a loss of 25%, we can follow these steps:

### Step 1: Understand the relationship between Selling Price (SP), Cost Price (CP), and Loss Percentage
When an article is sold at a loss, the Selling Price is less than the Cost Price. 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 formula
In this case, we know:
- Selling Price (SP) = Rs. 8400
- Loss Percentage = 25%

Substituting these values into the formula gives:
\[ 8400 = CP \times \left(1 - \frac{25}{100}\right) \]
This simplifies to:
\[ 8400 = CP \times \left(1 - 0.25\right) \]
\[ 8400 = CP \times 0.75 \]

### Step 3: Solve for the Cost Price (CP)
To find the Cost Price (CP), we can rearrange the equation:
\[ CP = \frac{8400}{0.75} \]

### Step 4: Calculate the Cost Price
Now, perform the division:
\[ CP = \frac{8400}{0.75} = 11200 \]

Thus, the Cost Price of the article is Rs. 11,200.

### Summary
The cost price of the article is Rs. 11,200.

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