RD Sharma Class 7 Solutions Chapter 10 - Unitary Method (Ex 10.1) Exercise 10.1 - Free PDF
FAQs on RD Sharma Class 7 Solutions Chapter 10 - Unitary Method (Ex 10.1) Exercise 10.1
1. How is the unitary method used to solve problems in RD Sharma Class 7, Chapter 10?
The unitary method, as applied in the solutions for RD Sharma Class 7, is a two-step process for solving problems. First, you calculate the value of a single unit from the given multiple units. Second, you use this single unit value to find the value of the required number of units by multiplication. This approach simplifies calculations involving proportion and rates.
2. What is the first step for solving a question from RD Sharma Class 7 Exercise 10.1?
The first and most crucial step is to carefully read the problem and identify the two quantities being compared (e.g., cost and number of items, or distance and time). After identifying them, you must determine which quantity's value for a single unit needs to be found to solve for the final answer. Setting up this initial relationship correctly is key.
3. How can I differentiate between a direct and an inverse variation problem in this chapter?
To differentiate between the two, observe the relationship between the quantities:
- Direct Variation: If one quantity increases, the other quantity also increases. For example, if you buy more books, the total cost increases.
- Inverse Variation: If one quantity increases, the other quantity decreases. For example, if you increase the number of workers on a job, the time taken to complete it decreases.
Understanding this difference is essential for setting up the problem correctly.
4. In what real-life scenarios can I apply the concepts from the Unitary Method chapter?
The unitary method has many practical applications in daily life, such as:
- Calculating the price of multiple items after knowing the cost of one (or a set).
- Figuring out the total distance a vehicle can travel on a given amount of fuel.
- Estimating the time required to complete a task based on the number of people working.
- Comparing prices of products with different quantities to find the best value for money.
5. Why is finding the value of 'one unit' first so important in the unitary method?
Finding the value of 'one unit' is critical because it establishes a standard rate or base value. This base value acts as a bridge, allowing you to accurately calculate the value for any other required number of units. Without this step, you cannot establish a correct proportional relationship between the two quantities, making it a foundational step in the entire method.
6. What is a common mistake to avoid when solving problems in RD Sharma Exercise 10.1?
A common mistake is incorrectly identifying the relationship between quantities, especially mixing up direct and inverse variation. For instance, students might mistakenly multiply when they should divide in an inverse variation problem (like speed and time). Always double-check if both quantities should increase/decrease together or in opposite directions before performing calculations.
7. How do these RD Sharma solutions for Exercise 10.1 align with the Class 7 exam pattern for 2025-26?
The solutions provide a step-by-step breakdown for every problem, mirroring the methodology expected in CBSE exams for the 2025-26 session. They help you practise writing answers in the correct format, ensuring you show all necessary calculations to score full marks on questions related to the unitary method.
