RS Aggarwal Solutions Class 6 Chapter-10 Ratio, Proportion and Unitary Method (Ex 10C) Exercise 10.3 - Free PDF
FAQs on RS Aggarwal Solutions Class 6 Chapter-10 Ratio, Proportion and Unitary Method (Ex 10C) Exercise 10.3
1. What is the main principle behind the unitary method used in RS Aggarwal Class 6, Chapter 10, Exercise 10C?
The core principle of the unitary method is to first determine the value of a single unit from a given quantity. Once the value of 'one unit' is known, you can then calculate the value of the required number of units by multiplying. This method is a practical application of the concept of proportion.
2. How do you correctly solve a word problem from Exercise 10C using the step-by-step unitary method?
To solve a word problem using the unitary method as per the RS Aggarwal solutions, follow these steps:
- Step 1: Read the problem carefully to identify the value given for a specific number of units (e.g., the cost of 12 pens).
- Step 2: Calculate the value of one single unit by dividing the total value by the number of units (e.g., find the cost of 1 pen).
- Step 3: Multiply the value of the single unit by the number of units you need to find the value for (e.g., calculate the cost of 8 pens).
3. Why is finding the value of 'one unit' so crucial in the unitary method?
Finding the value of 'one unit' is the most critical step because it establishes a standard base for comparison. This single unit value acts as a constant multiplier. Once you have this base value, you can easily scale it up or down to find the value for any quantity, which makes this method efficient and less prone to errors for solving problems involving proportion.
4. How is the unitary method applied differently when calculating 'more' versus 'less' quantity?
The core process remains the same, but the final step changes. After finding the value of one unit:
- To find the value of a larger quantity (more), you multiply the single unit value by the larger number.
- To find the value of a smaller quantity (less), you still multiply the single unit value, but by the smaller number. The common first step is always to find the value of 'one' by division.
5. What is a common mistake students make while solving problems in RS Aggarwal Exercise 10C?
A very common mistake is confusing the operations of multiplication and division. Students sometimes directly multiply or divide the given numbers without first finding the value of the single unit. For example, if the cost of 15 oranges is given and the cost of 10 is asked, a student might incorrectly divide 15 by 10. The correct method is to always find the cost of 1 orange first and then multiply by 10.
6. How can the unitary method be used to solve problems involving time and distance?
The unitary method is very effective for time and distance problems. For instance, if a car travels 180 km in 3 hours, you can use the unitary method to find the distance it covers in 1 hour (its speed). To do this, you would calculate 180 km / 3 hours = 60 km per hour. This 'unit value' (speed) can then be used to determine the distance it would cover in 5 hours (60 km/hr * 5 hr = 300 km).
