A shopkeeper buys an article for Rs 450. He marks it at the 20% above the cost price. Find the percentage discount given by him if he sells the article for Rs 496.80
एक दुकानदार कोई वस्तु र 450 में खरीदता है। वह उस पर क्रय मूल्य से 20% अधिक अंकित करता है। उस द्वारा दी गई प्रतिशत छूट ज्ञात कीजिए यदि वह वस्तु को Rs496.80 में बेचे।

Options

A. 0.08
B. 0.09
C. 0.1
D. 0.12

Explanation

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

### Step 1: Identify the given data
- Cost Price (CP) = Rs 450
- Selling Price (SP) = Rs 496.80

### Step 2: Calculate the Marked Price (MP)
The Marked Price is calculated as 20% above the Cost Price.

\[ \text{Marked Price (MP)} = \text{CP} + 20\% \text{ of CP} \]

Calculating 20% of CP:

\[ 20\% \text{ of } 450 = \frac{20}{100} \times 450 = 90 \]

Now, adding this to the Cost Price:

\[ \text{MP} = 450 + 90 = 540 \]

### Step 3: Calculate the Discount
The discount can be calculated using the formula:

\[ \text{Discount} = \text{MP} - \text{SP} \]

Substituting the values we found:

\[ \text{Discount} = 540 - 496.80 = 43.20 \]

### Step 4: Calculate the Discount Percentage
The discount percentage is calculated using the formula:

\[ \text{Discount Percentage} = \left( \frac{\text{Discount}}{\text{MP}} \right) \times 100 \]

Substituting the values:

\[ \text{Discount Percentage} = \left( \frac{43.20}{540} \right) \times 100 \]

Calculating the fraction:

\[ \frac{43.20}{540} = 0.08 \]

Now, multiplying by 100 to get the percentage:

\[ \text{Discount Percentage} = 0.08 \times 100 = 8\% \]

### Conclusion
The percentage discount given by the shopkeeper is **8%**.

---