What is Finding Original Price Before Discount? | Simple Explanation for Class 5

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What is Finding the Original Price Before Discount?

Grade Level:

Class 5

Finance, Economics, Maths, Computing, AI

Definition

What is it?

Finding the original price before discount means calculating the actual price of an item was before any price reduction or offer was applied. It helps us understand how much money we saved and what the item truly cost initially.

Simple Example

Quick Example

Imagine you bought a cricket bat for ₹800 after a 20% discount. To find its original price, you need to figure out what price, when reduced by 20%, becomes ₹800. This original price would be higher than ₹800.

Worked Example

Step-by-Step

Rohan bought a new mobile cover for ₹180. He knows he got a 10% discount on it. What was the original price of the mobile cover?
Step 1: Understand that the discounted price (₹180) is 100% - 10% = 90% of the original price.
---Step 2: So, 90% of the Original Price = ₹180.
---Step 3: To find 1% of the Original Price, divide the discounted price by 90. So, 1% = ₹180 / 90 = ₹2.
---Step 4: To find 100% (the Original Price), multiply 1% by 100. So, Original Price = ₹2 * 100.
---Step 5: Original Price = ₹200.
---Answer: The original price of the mobile cover was ₹200.

Why It Matters

Understanding original prices helps you make smart financial decisions, like knowing if a sale is truly good. This skill is vital in retail, e-commerce, and even personal finance management. People working in business analysis or marketing use this daily to price products correctly.

Common Mistakes

MISTAKE: Subtracting the discount percentage directly from the discounted price. E.g., if an item is ₹90 after a 10% discount, students might think the original price is ₹90 + 10% of ₹90 = ₹90 + ₹9 = ₹99. | CORRECTION: The discount percentage is always applied to the ORIGINAL price, not the discounted price. The discounted price is a percentage of the original price.

MISTAKE: Confusing the discounted price with the original price when setting up the equation. | CORRECTION: Always remember that the discounted price is the result of applying the discount to the original (unknown) price. Let the original price be 'x' and set up the equation correctly.

MISTAKE: Calculating the discount amount based on the sale price and adding it. E.g., for ₹180 with 10% discount, calculating 10% of ₹180 = ₹18, then adding ₹180 + ₹18 = ₹198. | CORRECTION: The discount percentage is of the ORIGINAL price. The ₹180 is 90% of the original price, not 100%. You need to find the value that 180 represents 90% of.

Practice Questions

Try It Yourself

QUESTION: A pair of shoes is sold for ₹600 after a 25% discount. What was its original price? | ANSWER: ₹800

QUESTION: During a festive sale, a bicycle was bought for ₹4,500, which was 10% less than its original price. What was the original price of the bicycle? | ANSWER: ₹5,000

QUESTION: A shopkeeper sold a box of laddoos for ₹380, making a profit of 20% on the discounted price. If the original price of the laddoos had a 5% discount to reach this selling price, what was the actual original price before any discount? | ANSWER: ₹400

MCQ

Quick Quiz

A book is sold for ₹240 after a 20% discount. What was its original price?

₹260

₹300

₹288

₹200

The Correct Answer Is:

If the book is sold for ₹240 after a 20% discount, it means ₹240 is 80% of the original price. So, Original Price = ₹240 / 0.80 = ₹300.

Real World Connection

In the Real World

Whenever you see a 'Sale' sign at a clothing store like Lifestyle or on an e-commerce app like Myntra, you're looking at discounted prices. Knowing how to find the original price helps you compare deals and understand how much you're truly saving, making you a smart shopper.

Key Vocabulary

Key Terms

ORIGINAL PRICE: The price of an item before any discount is applied. | DISCOUNT: A reduction in the usual price of something. | DISCOUNT PERCENTAGE: The percentage by which the original price is reduced. | SALE PRICE: The price of an item after the discount has been applied.

What's Next

What to Learn Next

Now that you understand finding the original price, next you can learn about 'Calculating Profit and Loss Percentages'. This will help you understand how businesses price their products and how much they earn or lose after discounts.