Sale prices: find the original price

Key notes:

🏷️ Sale Prices: Find the Original Price

🔑 Key Points

✨ Sale Price

• The price paid after a discount is called the sale price.

✨ Original Price

• The price before the discount is called the original (marked) price.

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💯 Understanding Discount

• Discount (%) means how much is taken off the original price.
• Example:
  • 20% discount = 20 out of 100 parts are reduced.

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🧮 Formula to Find Original Price

👉 Original Price = Sale Price ÷ (1 − Discount Rate)

📌 Discount rate must be written as a decimal.

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🔄 Convert Percentage to Decimal

• 10% = 0.10
• 20% = 0.20
• 25% = 0.25
• 40% = 0.40

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✏️ Step-by-Step Method

1️⃣ Convert the discount percent into a decimal
2️⃣ Subtract it from 1
3️⃣ Divide the sale price by the result

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🧠 Example

🛍️ A bag is sold for ₹600 after a 25% discount.

• Discount = 25% = 0.25
• 1 − 0.25 = 0.75
• Original Price = 600 ÷ 0.75 = ₹800

✅ Original Price = ₹800

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⚠️ Common Mistakes to Avoid

❌ Subtracting discount directly from sale price
❌ Forgetting to convert % into decimal
❌ Using discount amount instead of discount rate

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🌟 Tip for Students

• Always ask: “What part of the original price is left after discount?”
• Sale price is a fraction of the original price, not the full amount!

Learn with an example

let’s practice!