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How to Solve Direct and Inverse Proportion Problems: Easy Guid
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Welcome to Wit Reach! In today’s lesson, we dive deep into the concepts of direct and inverse proportion using easy-to-understand examples from real life.
📘 What You Will Learn in This Video:
In this video, you’ll learn how to solve problems involving direct proportion and inverse proportion step by step. We use practical examples, such as calculating the cost of onions based on weight and determining the time required for workers to complete a job. This video is perfect for students studying mathematics as well as learners looking to refresh their knowledge on proportional relationships.
📝 Example 1: Direct Proportion – Buying Onions
We’ll start with a scenario where 7 kg of onions cost ₹140. The problem asks us to find the cost of 12 kg of onions. Since the cost increases as the weight increases, this is an example of direct proportion. We’ll use simple mathematical steps to find the solution, ensuring you can follow along easily.
📝 Example 2: Inverse Proportion – Workers and Time
Next, we explore a situation where 5 workers complete a job in 12 days. We need to figure out how many days it would take for 6 workers to do the same task. Since more workers reduce the time needed to finish the job, this is an example of inverse proportion. We’ll guide you through the multiplication method to solve this problem.
✅ Key Takeaways:
Direct Proportion: As one quantity increases, the other also increases.
Inverse Proportion: As one quantity increases, the other decreases.
How to solve direct and inverse proportion problems using division and multiplication.
Cross-multiplication techniques for direct proportion.
Real-life applications of proportion in daily life and work scenarios.
🎯 Why Watch This Video?
This video is designed for students from various educational boards, teachers, and anyone interested in mathematics. Whether you’re preparing for exams or simply want to strengthen your understanding of these fundamental math concepts, this tutorial provides clear explanations, practical examples, and step-by-step solutions.
📺 More Learning Content from Wit Reach:
We offer a wide range of learning materials that go beyond mathematics. Subscribe to our channel for videos on academic and non-academic topics. Our content is suitable for students of all grades and subjects. Stay tuned for regular updates!
🔔 Subscribe & Join the Learning Community:
Don’t forget to hit the subscribe button to get instant updates whenever we post a new video. Join the growing Wit Reach community for free academic and non-academic learning content. If you found this video helpful, give it a thumbs up and share it with your friends!
🔗 Useful Links:
Follow us on social media to stay updated with the latest content:
Video Chapters:
0:00 - Introduction to Direct and Inverse Proportion
0:22 - Example 1: 7 kg of Onions and Cost Calculation
0:45 - Example 2: 5 Workers and Time Calculation
1:09 - Explanation of Direct Proportion
1:40 - Explanation of Inverse Proportion
2:16 - Solving the Cost for 12 kg of Onions
3:00 - Solving for 6 Workers and Time Taken
📘 What You Will Learn in This Video:
In this video, you’ll learn how to solve problems involving direct proportion and inverse proportion step by step. We use practical examples, such as calculating the cost of onions based on weight and determining the time required for workers to complete a job. This video is perfect for students studying mathematics as well as learners looking to refresh their knowledge on proportional relationships.
📝 Example 1: Direct Proportion – Buying Onions
We’ll start with a scenario where 7 kg of onions cost ₹140. The problem asks us to find the cost of 12 kg of onions. Since the cost increases as the weight increases, this is an example of direct proportion. We’ll use simple mathematical steps to find the solution, ensuring you can follow along easily.
📝 Example 2: Inverse Proportion – Workers and Time
Next, we explore a situation where 5 workers complete a job in 12 days. We need to figure out how many days it would take for 6 workers to do the same task. Since more workers reduce the time needed to finish the job, this is an example of inverse proportion. We’ll guide you through the multiplication method to solve this problem.
✅ Key Takeaways:
Direct Proportion: As one quantity increases, the other also increases.
Inverse Proportion: As one quantity increases, the other decreases.
How to solve direct and inverse proportion problems using division and multiplication.
Cross-multiplication techniques for direct proportion.
Real-life applications of proportion in daily life and work scenarios.
🎯 Why Watch This Video?
This video is designed for students from various educational boards, teachers, and anyone interested in mathematics. Whether you’re preparing for exams or simply want to strengthen your understanding of these fundamental math concepts, this tutorial provides clear explanations, practical examples, and step-by-step solutions.
📺 More Learning Content from Wit Reach:
We offer a wide range of learning materials that go beyond mathematics. Subscribe to our channel for videos on academic and non-academic topics. Our content is suitable for students of all grades and subjects. Stay tuned for regular updates!
🔔 Subscribe & Join the Learning Community:
Don’t forget to hit the subscribe button to get instant updates whenever we post a new video. Join the growing Wit Reach community for free academic and non-academic learning content. If you found this video helpful, give it a thumbs up and share it with your friends!
🔗 Useful Links:
Follow us on social media to stay updated with the latest content:
Video Chapters:
0:00 - Introduction to Direct and Inverse Proportion
0:22 - Example 1: 7 kg of Onions and Cost Calculation
0:45 - Example 2: 5 Workers and Time Calculation
1:09 - Explanation of Direct Proportion
1:40 - Explanation of Inverse Proportion
2:16 - Solving the Cost for 12 kg of Onions
3:00 - Solving for 6 Workers and Time Taken
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