The selling and cost price of an article are Rs. 3960 and Rs. 3600 respectively. If 12% discount was given, then what is the percentage mark up ?

Options

A. 25
B. 30
C. 35
D. 20

Answer

To solve the problem step by step, we can follow these steps:

### Step 1: Identify the given values
- Selling Price (SP) = Rs. 3960
- Cost Price (CP) = Rs. 3600
- Discount = 12%

### Step 2: Calculate the Marked Price (MP)
Since we know the Selling Price after a discount, we can express the Selling Price in terms of the Marked Price:
\[ SP = MP - (Discount \% \times MP) \]
Given that the discount is 12%, we can rewrite this as:
\[ SP = MP \times (1 - 0.12) \]
\[ SP = MP \times 0.88 \]

Now, substituting the Selling Price into the equation:
\[ 3960 = MP \times 0.88 \]

To find the Marked Price (MP), we rearrange the equation:
\[ MP = \frac{3960}{0.88} \]

Calculating this gives:
\[ MP = 4500 \]

### Step 3: Calculate the Markup
Now, we can find the markup, which is the difference between the Marked Price and the Cost Price:
\[ Markup = MP - CP \]
\[ Markup = 4500 - 3600 \]
\[ Markup = 900 \]

### Step 4: Calculate the Percentage Markup
The percentage markup is calculated based on the Cost Price:
\[ \text{Percentage Markup} = \left( \frac{Markup}{CP} \right) \times 100 \]
Substituting the values we have:
\[ \text{Percentage Markup} = \left( \frac{900}{3600} \right) \times 100 \]

Calculating this gives:
\[ \text{Percentage Markup} = 25\% \]

### Final Answer
The percentage markup is **25%**.

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