What is Loss Percentage? | Simple Explanation for Class 5

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What is Loss Percentage (simple)?

Grade Level:

Class 5

Maths, Finance, Economics, Business, AI

Definition

What is it?

Loss percentage tells us what fraction of the original price was lost when an item was sold. It shows how much money was lost, compared to the cost price, expressed as a percentage. We calculate it only when the selling price is less than the cost price.

Simple Example

Quick Example

Imagine you bought a cricket bat for ₹1000. If you later sold it for ₹800, you made a loss of ₹200. To find the loss percentage, we compare this ₹200 loss to the original ₹1000 cost.

Worked Example

Step-by-Step

Sita bought a beautiful saree for ₹1500. After a few months, she sold it for ₹1200 because she needed money urgently. What is her loss percentage?

Step 1: Find the Cost Price (CP) and Selling Price (SP).
CP = ₹1500
SP = ₹1200
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Step 2: Calculate the Loss.
Loss = CP - SP
Loss = ₹1500 - ₹1200 = ₹300
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Step 3: Use the formula for Loss Percentage.
Loss Percentage = (Loss / CP) * 100
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Step 4: Substitute the values.
Loss Percentage = (300 / 1500) * 100
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Step 5: Simplify the fraction.
Loss Percentage = (1 / 5) * 100
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Step 6: Calculate the percentage.
Loss Percentage = 20%

Answer: Sita's loss percentage is 20%.

Why It Matters

Understanding loss percentage helps shopkeepers, small business owners, and even big companies like Flipkart or Reliance Smart make smart decisions. It's important in finance and economics to see if a business is making a profit or a loss, guiding future investments and pricing strategies.

Common Mistakes

MISTAKE: Calculating loss percentage based on the Selling Price (SP) instead of the Cost Price (CP). | CORRECTION: Always remember that loss percentage is calculated on the original Cost Price (CP).

MISTAKE: Forgetting to multiply by 100 at the end. | CORRECTION: After dividing Loss by CP, always multiply the result by 100 to convert it into a percentage.

MISTAKE: Confusing Loss Percentage with Profit Percentage. | CORRECTION: Loss happens when SP < CP. Profit happens when SP > CP. The formulas are similar, but you must use Loss for loss percentage and Profit for profit percentage.

Practice Questions

Try It Yourself

QUESTION: A bookseller bought a book for ₹250 and sold it for ₹200. What is the loss percentage? | ANSWER: 20%

QUESTION: A mobile phone was purchased for ₹8000. Due to a small scratch, it was sold for ₹7600. Calculate the loss percentage. | ANSWER: 5%

QUESTION: A vegetable vendor bought 50 kg of potatoes for ₹1000. Due to some potatoes spoiling, he could only sell 45 kg for ₹20 per kg. What is his overall loss percentage? | ANSWER: 10%

MCQ

Quick Quiz

If a cycle bought for ₹3000 is sold for ₹2700, what is the loss percentage?

10%

11.11%

30%

The Correct Answer Is:

Loss = ₹3000 - ₹2700 = ₹300. Loss Percentage = (Loss / CP) * 100 = (300 / 3000) * 100 = (1/10) * 100 = 10%.

Real World Connection

In the Real World

Small businesses, like your local kirana store or a clothing shop, use loss percentage to check if they are selling items below their purchase price. If a shopkeeper buys a packet of biscuits for ₹10 and has to sell it for ₹8 because it's expiring, they calculate the loss percentage to understand the impact on their earnings.

Key Vocabulary

Key Terms

COST PRICE (CP): The original price at which an item is bought. | SELLING PRICE (SP): The price at which an item is sold. | LOSS: When the Selling Price is less than the Cost Price (CP - SP). | PERCENTAGE: A way to express a number as a fraction of 100.

What's Next

What to Learn Next

Great job understanding loss percentage! Next, you should learn about 'Profit Percentage'. It's the opposite of loss percentage and helps you understand how much money is gained when an item is sold for more than its cost price. This will complete your understanding of basic profit and loss calculations!