Rahul bought a sweater and saved ₹200 when a discount of 25% was given. What was the price of the sweater before the discount?

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Points to Remember:

  • This is a mathematical word problem requiring the calculation of the original price given a discount percentage and the amount saved.
  • The core concept is understanding the relationship between the discount percentage, the amount saved, and the original price.

Introduction:

This question is a simple percentage problem. It tests the ability to work backwards from a discounted price to find the original price. Understanding percentage calculations is crucial in various aspects of daily life, from shopping and budgeting to analyzing financial data. The problem states that Rahul saved ₹200 due to a 25% discount on a sweater. We need to determine the sweater’s original price before the discount was applied.

Body:

Understanding the Discount:

A 25% discount means that Rahul paid 75% (100% – 25%) of the original price. The ₹200 he saved represents the 25% discount.

Calculating the Original Price:

We can set up a simple equation to solve for the original price (let’s call it ‘x’):

25% of x = ₹200

This can be written as:

(25/100) * x = 200

Simplifying the equation:

0.25x = 200

To solve for x, we divide both sides by 0.25:

x = 200 / 0.25

x = ₹800

Therefore, the original price of the sweater was ₹800.

Verification:

To verify our answer, we can calculate the discount amount:

25% of ₹800 = (25/100) * 800 = ₹200

This matches the amount Rahul saved, confirming our calculation.

Conclusion:

The original price of the sweater before the 25% discount was ₹800. This problem highlights the importance of understanding percentage calculations in everyday financial transactions. By applying basic algebraic principles, we can easily solve such problems and make informed decisions regarding purchases and discounts. This simple example demonstrates the practical application of mathematics in real-life scenarios, promoting financial literacy and responsible consumer behavior.

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