Unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit. It is a method that we use for most of the calculations in math. You will find this method useful while solving questions on radio and proportional , algebra geometry, etc.
Through the unitary method, we can find the missing value. For example, if 1 packet of juice costs $5, then what would the cost of 5 such packets? Then we can easily find that the cost of 5 packets, i.e. $25. Let's understand this concept in detail in this lesson.
Michelie and Brigette own a business. Brigette receives 25% of the profits each month. Last month, Brigette received $2080. How can she work out the total profit made by the business last month ?
The unitary method can be used to solve this problem. We first find 1%, then multiply by 100 to find the whole amount.
Illustration : - Find 100% of a sum of money if 25% is $2080.
Solution : - 25% of the amount is $2080
1% of the amount is $208025 = $83.20
100% of the amount is $83.20100
the whole amount is $8320
The unitary method can also be used to find other percentages of a quantity.
Illustration : - 18% of the students at a school are in Year 8, and 16% of the students are in year 9. If the school has 126 Year 8 students, determine the number of Year 9 students.
Solution : - 18% is 126 students
1% is students
16% is students
So, the school has 112 Year 9 students.
Find 72% of chocolates if 9% is 80 boxes | |||
Right Option : A | |||
View Explanation |
Find 100% if 5% of the injection id 7 ml | |||
Right Option : B | |||
View Explanation |
Find 100% if 18% is 126 rupees | |||
Right Option : C | |||
View Explanation |
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