A shopkeeper buys an article for Rs 450. He marks it at 20% above the cost price. Find :
the percentage discount given by him, if he sells the article forRs 496.80.

Answer

To solve the problem step by step, we will follow the outlined process to find the percentage discount given by the shopkeeper.

### Step 1: Calculate the Marked Price
The shopkeeper marks the article at 20% above the cost price.

- Cost Price (CP) = Rs 450
- Marked Price (MP) = Cost Price + 20% of Cost Price

Calculating 20% of the cost price:
\[ 20\% \text{ of } 450 = \frac{20}{100} \times 450 = 90 \]

Now, we can find the marked price:
\[ MP = 450 + 90 = 540 \text{ Rs} \]

### Step 2: Identify the Selling Price
The selling price (SP) of the article is given as Rs 496.80.

### Step 3: Calculate the Discount
The discount can be calculated using the formula:
\[ \text{Discount} = \text{Marked Price} - \text{Selling Price} \]
Substituting the values we have:
\[ \text{Discount} = 540 - 496.80 = 43.20 \text{ Rs} \]

### Step 4: Calculate the Percentage Discount
The percentage discount can be calculated using the formula:
\[ \text{Percentage Discount} = \left( \frac{\text{Discount}}{\text{Marked Price}} \right) \times 100 \]
Substituting the values:
\[ \text{Percentage Discount} = \left( \frac{43.20}{540} \right) \times 100 \]

Calculating the fraction:
\[ \frac{43.20}{540} = 0.08 \]

Now, multiplying by 100 to get the percentage:
\[ \text{Percentage Discount} = 0.08 \times 100 = 8\% \]

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

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