An article is sold for Rs 4800 at a loss of 20%. What is the cost price (in Rs) of the article?

Options

A. 5500
B. 6000
C. 7200
D. 5800

Answer

To find the cost price of the article sold for Rs 4800 at a loss of 20%, we can follow these steps:

### Step 1: Understand the relationship between cost price, selling price, and loss percentage.
Let the cost price (CP) of the article be represented as \( CP = 100x \).

### Step 2: Calculate the loss.
Since there is a loss of 20%, the loss can be calculated as:
\[ \text{Loss} = \frac{20}{100} \times CP = \frac{20}{100} \times 100x = 20x \]

### Step 3: Determine the selling price (SP).
The selling price is calculated by subtracting the loss from the cost price:
\[ SP = CP - \text{Loss} = 100x - 20x = 80x \]

### Step 4: Set up the equation with the given selling price.
We know that the selling price is Rs 4800:
\[ 80x = 4800 \]

### Step 5: Solve for \( x \).
To find \( x \), divide both sides of the equation by 80:
\[ x = \frac{4800}{80} = 60 \]

### Step 6: Calculate the cost price.
Now, substitute \( x \) back into the equation for cost price:
\[ CP = 100x = 100 \times 60 = 6000 \]

### Final Answer:
The cost price of the article is Rs 6000.

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