On a 20% discount sale, an article costs 596. What was the original price of the article?

Options

A. 720
B. 735
C. 745
D. 775

Answer

To find the original price of an article that costs 596 after a 20% discount, we can follow these steps:

### Step 1: Understand the relationship between the original price and the selling price after discount.
The selling price (SP) after a discount can be expressed as:
\[ \text{SP} = \text{Original Price} - \text{Discount} \]

### Step 2: Express the discount in terms of the original price.
If the original price is denoted as \( P \), then the discount is 20% of \( P \):
\[ \text{Discount} = \frac{20}{100} \times P = 0.2P \]

### Step 3: Write the equation for the selling price.
Substituting the discount into the selling price equation gives:
\[ \text{SP} = P - 0.2P = 0.8P \]

### Step 4: Set up the equation with the given selling price.
We know the selling price is 596, so we can set up the equation:
\[ 0.8P = 596 \]

### Step 5: Solve for the original price \( P \).
To find \( P \), divide both sides of the equation by 0.8:
\[ P = \frac{596}{0.8} \]

### Step 6: Calculate the value.
Now, perform the division:
\[ P = 745 \]

### Conclusion:
The original price of the article is **745**.

---