Calculate Sweater's Original Price Before Discount

The problem asks for the original price of a sweater given the amount saved (discount) and the discount percentage.

Understanding Discount Calculation

The discount amount is a percentage of the original price. We can express this relationship using a formula:

Discount Amount = Discount Percentage × Original Price

Finding the Original Price

We are given:

• Discount Amount = ₹200
• Discount Percentage = 25%

Let the Original Price be P.

We can write the equation as:

₹200 = 25% of P

Converting the percentage to a decimal:

₹200 = $0.25 \times P$

To find the Original Price (P), we rearrange the equation:

$P = \frac{\text{Discount Amount}}{\text{Discount Percentage (as decimal)}}$

$P = \frac{200}{0.25}$

Since $0.25$ is equal to $\frac{1}{4}$:

$P = \frac{200}{1/4}$

$P = 200 \times 4$

$P = 800$

Therefore, the price of the sweater before the discount was ₹800.