Class 8 Exam > Class 8 Questions > 11.The price of sugar has been increased by 4...
Start Learning for Free
11.The price of sugar has been increased by 40%. By how much percent must
this new price be decreased to retain its former price.?
this new price be decreased to retain its former price.?
Most Upvoted Answer
11.The price of sugar has been increased by 40%. By how much percent m...
Understanding Price Increase and Decrease
When the price of sugar is increased by 40%, we need to calculate the percentage decrease required to bring it back to its original price.
Original Price Calculation
- Let's assume the original price of sugar is \( P \).
- After a 40% increase, the new price can be calculated as:
- New Price = \( P + (0.4 \times P) \)
- New Price = \( 1.4P \)
Finding the Required Decrease
- To find the percentage decrease needed to return to the original price, we want to reduce \( 1.4P \) back to \( P \).
- The amount of decrease needed is:
- Decrease = New Price - Original Price
- Decrease = \( 1.4P - P = 0.4P \)
Calculating the Percentage Decrease
- To find the percentage decrease, we use the formula:
- Percentage Decrease = \( \frac{\text{Decrease}}{\text{New Price}} \times 100 \)
- Substituting the values we have:
- Percentage Decrease = \( \frac{0.4P}{1.4P} \times 100 \)
- Simplifying this:
- Percentage Decrease = \( \frac{0.4}{1.4} \times 100 = \frac{40}{14} \approx 2.857 \)
Final Result
- Therefore, the new price must be decreased by approximately 28.57% to retain its former price.
This calculation shows how percentages work in real-life scenarios, such as price adjustments in the market.
When the price of sugar is increased by 40%, we need to calculate the percentage decrease required to bring it back to its original price.
Original Price Calculation
- Let's assume the original price of sugar is \( P \).
- After a 40% increase, the new price can be calculated as:
- New Price = \( P + (0.4 \times P) \)
- New Price = \( 1.4P \)
Finding the Required Decrease
- To find the percentage decrease needed to return to the original price, we want to reduce \( 1.4P \) back to \( P \).
- The amount of decrease needed is:
- Decrease = New Price - Original Price
- Decrease = \( 1.4P - P = 0.4P \)
Calculating the Percentage Decrease
- To find the percentage decrease, we use the formula:
- Percentage Decrease = \( \frac{\text{Decrease}}{\text{New Price}} \times 100 \)
- Substituting the values we have:
- Percentage Decrease = \( \frac{0.4P}{1.4P} \times 100 \)
- Simplifying this:
- Percentage Decrease = \( \frac{0.4}{1.4} \times 100 = \frac{40}{14} \approx 2.857 \)
Final Result
- Therefore, the new price must be decreased by approximately 28.57% to retain its former price.
This calculation shows how percentages work in real-life scenarios, such as price adjustments in the market.
Attention Class 8 Students!
To make sure you are not studying endlessly, EduRev has designed Class 8 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 8.
|
Explore Courses for Class 8 exam
|
|
Similar Class 8 Doubts
Top Courses for Class 8View all
11.The price of sugar has been increased by 40%. By how much percent must this new price be decreased to retain its former price.?
Question Description
11.The price of sugar has been increased by 40%. By how much percent must this new price be decreased to retain its former price.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about 11.The price of sugar has been increased by 40%. By how much percent must this new price be decreased to retain its former price.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 11.The price of sugar has been increased by 40%. By how much percent must this new price be decreased to retain its former price.?.
11.The price of sugar has been increased by 40%. By how much percent must this new price be decreased to retain its former price.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about 11.The price of sugar has been increased by 40%. By how much percent must this new price be decreased to retain its former price.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 11.The price of sugar has been increased by 40%. By how much percent must this new price be decreased to retain its former price.?.
Solutions for 11.The price of sugar has been increased by 40%. By how much percent must this new price be decreased to retain its former price.? in English & in Hindi are available as part of our courses for Class 8.
Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free.
Here you can find the meaning of 11.The price of sugar has been increased by 40%. By how much percent must this new price be decreased to retain its former price.? defined & explained in the simplest way possible. Besides giving the explanation of
11.The price of sugar has been increased by 40%. By how much percent must this new price be decreased to retain its former price.?, a detailed solution for 11.The price of sugar has been increased by 40%. By how much percent must this new price be decreased to retain its former price.? has been provided alongside types of 11.The price of sugar has been increased by 40%. By how much percent must this new price be decreased to retain its former price.? theory, EduRev gives you an
ample number of questions to practice 11.The price of sugar has been increased by 40%. By how much percent must this new price be decreased to retain its former price.? tests, examples and also practice Class 8 tests.
|
|
Explore Courses for Class 8 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup