Understanding Unitary Method

Unitary method is a mathematical concept that helps in solving problems involving proportions and ratios. It is used to find the value of one unit based on the value of another unit. This method is particularly useful when dealing with problems where the relationship between two or more quantities is known.

Unitary Method Example

Let's solve the given problem to understand the concept of unitary method in a better way.

Given:
2 dozens of oranges cost Rs. 60
We need to find the cost of 120 similar oranges.

Step 1: Determine the cost of 1 dozen oranges
- We are given that 2 dozens of oranges cost Rs. 60.
- To find the cost of 1 dozen oranges, we divide the total cost by the number of dozens.
- Therefore, the cost of 1 dozen oranges is Rs. 60 ÷ 2 = Rs. 30.

Step 2: Determine the cost of 1 orange
- We know that 1 dozen contains 12 oranges.
- To find the cost of 1 orange, we divide the cost of 1 dozen by the number of oranges in a dozen.
- Therefore, the cost of 1 orange is Rs. 30 ÷ 12 = Rs. 2.50.

Step 3: Determine the cost of 120 oranges
- We know that the cost of 1 orange is Rs. 2.50.
- To find the cost of 120 oranges, we multiply the cost of 1 orange by the number of oranges.
- Therefore, the cost of 120 oranges is Rs. 2.50 × 120 = Rs. 300.

Answer:
The cost of 120 similar oranges is Rs. 300.

This is an example of how the unitary method can be used to solve problems involving proportions and ratios. By breaking down the problem into smaller steps and determining the value of one unit, we can find the value of any given quantity based on the known relationship.

3600