An item is sold for 680 by allowing a discount of 15% on its marked price. The marked price of item is

Answer

To find the marked price of an item sold for 680 with a discount of 15%, we can follow these steps:

### Step 1: Understand the relationship between Selling Price (SP), Marked Price (MP), and Discount
The relationship can be expressed as:
\[ \text{SP} = \text{MP} - \text{Discount} \]

Where:
- SP is the Selling Price
- MP is the Marked Price
- Discount = (Discount Percentage × MP)

### Step 2: Express the Discount in terms of Marked Price
Given that the discount is 15%, we can express the discount as:
\[ \text{Discount} = \frac{15}{100} \times \text{MP} = 0.15 \times \text{MP} \]

### Step 3: Substitute the Discount into the Selling Price formula
Now, substituting the discount into the SP formula:
\[ \text{SP} = \text{MP} - 0.15 \times \text{MP} \]
This simplifies to:
\[ \text{SP} = 0.85 \times \text{MP} \]

### Step 4: Substitute the Selling Price
We know the Selling Price (SP) is 680, so we can write:
\[ 680 = 0.85 \times \text{MP} \]

### Step 5: Solve for Marked Price
To find the Marked Price (MP), we can rearrange the equation:
\[ \text{MP} = \frac{680}{0.85} \]

### Step 6: Calculate the Marked Price
Now, performing the division:
\[ \text{MP} = 800 \]

### Conclusion
The marked price of the item is **800**.

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