Two example of unitary method
Maths
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The unitary method is a technique which is used for solving a problem by finding the value of a single unit, i.e., 1, and then finding the necessary value by multiplying the single unit value.
examples are:-
Solved Examples for You
Q: The cost of 10 notebooks is 300 Rs. Find:
The number of notebooks that can be purchased with 420 Rs.
The cost of 5 notebooks
Sol: It is given that the cost of 10 notebooks = 300 Rs. Hence the cost of 1 notebook = 30 Rs. Now,
The number of notebooks that can be purchased with 30 Rs. = 1. The number of notebooks that can be purchased with 1 Re. = 1/30. Hence, the number of notebooks that can be purchased with 420 Rs. = 1/30 ×420= 14 notebooks
The cost of 1 notebook = 30 Rs. The cost of 5 notebooks = 30 Rs. × 5 = 150 Rs
examples are:-
Solved Examples for You
Q: The cost of 10 notebooks is 300 Rs. Find:
The number of notebooks that can be purchased with 420 Rs.
The cost of 5 notebooks
Sol: It is given that the cost of 10 notebooks = 300 Rs. Hence the cost of 1 notebook = 30 Rs. Now,
The number of notebooks that can be purchased with 30 Rs. = 1. The number of notebooks that can be purchased with 1 Re. = 1/30. Hence, the number of notebooks that can be purchased with 420 Rs. = 1/30 ×420= 14 notebooks
The cost of 1 notebook = 30 Rs. The cost of 5 notebooks = 30 Rs. × 5 = 150 Rs
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example, of unitary method
1) if a car runs 44 km on 2 litres of petrol then we can use the unitary method to find out the kilometres it will cover on 1 litre of petrol.
In other words, the method by which we find out the value of one unit and further use it to find the value of multiple units is known as the unitary method
2)Suppose Ram buys a dozen(12) bananas for 36 Rs. The cost of 12 bananas = 36 Rs. The cost of 1 banana = 36÷12 = 3 Rs. Hence a single banana costs 3 rupees. Now, suppose we need to find the cost of 15 bananas. This can be done as: the cost of 15 bananas = 3 Rs. × 15 units = 45 Rs.
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1) if a car runs 44 km on 2 litres of petrol then we can use the unitary method to find out the kilometres it will cover on 1 litre of petrol.
In other words, the method by which we find out the value of one unit and further use it to find the value of multiple units is known as the unitary method
2)Suppose Ram buys a dozen(12) bananas for 36 Rs. The cost of 12 bananas = 36 Rs. The cost of 1 banana = 36÷12 = 3 Rs. Hence a single banana costs 3 rupees. Now, suppose we need to find the cost of 15 bananas. This can be done as: the cost of 15 bananas = 3 Rs. × 15 units = 45 Rs.
I hope it is helped you
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