Ashish bought an article with 20% discount on the labelled price. He sold the article with 30% profit on the labelled price. What was his percent profit on the price he bought?

Answer

To find Ashish's percent profit on the price he bought the article for, we can follow these steps:

### Step 1: Assume the Labelled Price
Let's assume the labelled price (marked price) of the article is \(100\).

### Step 2: Calculate the Cost Price
Since Ashish bought the article with a 20% discount, we can calculate the cost price (CP) as follows:
- Discount = 20% of \(100\) = \(20\)
- Therefore, Cost Price (CP) = Labelled Price - Discount = \(100 - 20 = 80\)

### Step 3: Calculate the Selling Price
Ashish sold the article with a 30% profit on the labelled price. We can calculate the selling price (SP) as follows:
- Profit = 30% of \(100\) = \(30\)
- Therefore, Selling Price (SP) = Labelled Price + Profit = \(100 + 30 = 130\)

### Step 4: Calculate the Profit
Now, we can find the actual profit made by Ashish:
- Profit = Selling Price - Cost Price = \(130 - 80 = 50\)

### Step 5: Calculate the Percent Profit
To find the percent profit based on the cost price, we use the formula:
\[ \text{Percent Profit} = \left(\frac{\text{Profit}}{\text{Cost Price}}\right) \times 100 \]
Substituting the values we have:
\[ \text{Percent Profit} = \left(\frac{50}{80}\right) \times 100 = \frac{5000}{80} = 62.5\% \]

### Final Answer
Ashish's percent profit on the price he bought the article for is **62.5%**.

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