Question

What is unitary method in ratio and proportion?

Answer 1

Explain the unitary method in ratio and proportion.

Unitary Method: The unitary method is a method in which you find the value of one unit and then the value of the required number of units. What can be the units and values?

Suppose you go to the market to buy 6 apples. The shopkeeper tells you that he is selling 10 apples for Rs 100. In this case, the apple is the unit, and the price of the apple is the price. When solving a problem using the unitary method, it is important to recognize the units and values.

For simplification, always write the things you calculate on the right and the things you know on the left. In the above problem, we know the number of apples there are and the value of the apples is unknown. It should be noted that the concepts of proportion and proportion are used for problems related to this method.

Unitary Method in Ratio and Proportion :

If we need to find the ratio of one quantity with respect to another quantity, then we need to use the unitary method. Let us understand with the help of examples.

Example: Income of Vivek is Rs 20000 per month, and that of Pawan is Rs 300000 per annum. If the monthly expenditure of each of them is Rs 5000 per month, find the ratio of their savings.

Solution: Savings of Vivek per month - $20000-5000=15000$

In 12 month Pawan earn - Rs.300000

Income of Pawan per month - $300000/12=25000$

Savings of Pawan per month - $25000-5000=20000$

Therefore, the ratio of savings of Vivek and Pawan - $$\begin{gathered} 15000:20000 \\ =3:4 \end{gathered}$$