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Ratio and Proportion | Term 1 Chapter 3 | 6th Maths - Unitary Method | 6th Maths : Term 1 Unit 3 : Ratio and Proportion

Chapter: 6th Maths : Term 1 Unit 3 : Ratio and Proportion

Unitary Method

Finding the value of one unit and then using it to find the value of the required number of units is known as unitary method.

Unitary Method

Finding the value of one unit and then using it to find the value of the required number of units is known as unitary method.

Steps involved in Unitary Method

Express the given problem in Mathematical statement.

Find the value of one unit of the given item using division.

Find the value of the required number of the same items using multiplication.


Example 3.8

Pari wants to buy 5 tennis balls from a sports shop. If a dozen balls cost 180, how much should Pari pay to buy 5 balls?

By unitary method, we can solve this as follows :

Cost of a dozen balls = ₹ 180

Cost of 12 balls = ₹ 180

Cost of 1 ball = 180/12  = ₹ 15

Cost of 5 balls = 5 × 15 = ₹ 75

Hence, Pari has to pay 75 for 5 balls.


Example 3.9

A heater uses 3 units of electricity in 40 minutes. How many units does it consume in 2 hours?

Solution

In 40 minutes, electricity used = 3 units.

In 1 minute, electricity used = 3/40 units.

In 120 minutes (2 hours), electricity used = 3/40 × 120 = 9 units

 Thus, the heater consumed 9 units of electricity in 2 hours.


Tags : Ratio and Proportion | Term 1 Chapter 3 | 6th Maths , 6th Maths : Term 1 Unit 3 : Ratio and Proportion
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6th Maths : Term 1 Unit 3 : Ratio and Proportion : Unitary Method | Ratio and Proportion | Term 1 Chapter 3 | 6th Maths


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