If the markup percentage of an article is 50% and discount percentage is also 20%, then the profit percentage will be :

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Understand the Given Information
- Markup percentage = 50%
- Discount percentage = 20%
- Let's assume the Cost Price (CP) of the article = ₹100

**Hint:** Start by defining the cost price to make calculations easier.

### Step 2: Calculate the Marked Price (MP)
The Marked Price (MP) can be calculated using the formula:
\[ \text{MP} = \text{CP} + \left(\text{Markup Percentage} \times \text{CP}\right) \]
Substituting the values:
\[ \text{MP} = 100 + (50\% \times 100) = 100 + 50 = ₹150 \]

**Hint:** The marked price is the cost price plus the markup amount.

### Step 3: Calculate the Selling Price (SP)
To find the Selling Price (SP), we need to apply the discount on the Marked Price:
\[ \text{SP} = \text{MP} - \left(\text{Discount Percentage} \times \text{MP}\right) \]
Calculating the discount:
\[ \text{Discount} = 20\% \times 150 = 0.20 \times 150 = ₹30 \]
Now, calculate the Selling Price:
\[ \text{SP} = 150 - 30 = ₹120 \]

**Hint:** The selling price is the marked price minus the discount amount.

### Step 4: Calculate the Profit
Profit can be calculated using the formula:
\[ \text{Profit} = \text{SP} - \text{CP} \]
Substituting the values:
\[ \text{Profit} = 120 - 100 = ₹20 \]

**Hint:** Profit is the difference between the selling price and the cost price.

### Step 5: Calculate the Profit Percentage
Profit percentage can be calculated using the formula:
\[ \text{Profit Percentage} = \left(\frac{\text{Profit}}{\text{CP}}\right) \times 100 \]
Substituting the values:
\[ \text{Profit Percentage} = \left(\frac{20}{100}\right) \times 100 = 20\% \]

**Hint:** Profit percentage is calculated based on the cost price.

### Final Answer
The profit percentage is **20%**.

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