If the marked price of an article is Rs. 450 and markup percentage is 12.5%, what is the cost price ?

Answer

To find the cost price of the article given the marked price and markup percentage, we can follow these steps:

### Step 1: Understand the relationship between marked price, cost price, and markup percentage.
The marked price (MP) is given by the formula:
\[ \text{MP} = \text{CP} + \text{Markup} \]
Where:
- CP = Cost Price
- Markup = Markup Percentage × CP

### Step 2: Write the equation using the given values.
Given:
- Marked Price (MP) = Rs. 450
- Markup Percentage = 12.5% = 0.125 (as a decimal)

We can rewrite the equation as:
\[ 450 = \text{CP} + (0.125 \times \text{CP}) \]

### Step 3: Combine like terms.
This can be simplified to:
\[ 450 = \text{CP} + 0.125 \text{CP} \]
\[ 450 = 1.125 \text{CP} \]

### Step 4: Solve for the cost price (CP).
To find CP, we can rearrange the equation:
\[ \text{CP} = \frac{450}{1.125} \]

### Step 5: Calculate the cost price.
Now, we perform the division:
\[ \text{CP} = \frac{450}{1.125} = 400 \]

Thus, the cost price of the article is Rs. 400.

### Final Answer:
The cost price of the article is Rs. 400.

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