Unitary Method In Percentages


 
 
Concept Explanation
 

Unitary Method In Percentages

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

therefore  1% of the amount is   $2080div25 = $83.20

therefore    100% of the amount is $83.20times100

therefore    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

therefore   1% is frac {126}{18} = 7  students 

therefore   16% is  7 times 16=12  students

So, the school has 112 Year 9 students.

Sample Questions
(More Questions for each concept available in Login)
Question : 1

Find 100% if 5% of the injection id 7 ml

Right Option : B
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Explanation
Question : 2

The cost of 10 notebooks is 300 Rs. Find The cost of 5 notebooks

    Right Option : B
    View Explanation
    Explanation
    Question : 3

    Reeta type 40 words per minute and takes 24 minutes to type a certain document. Her friend Geeta has a typing speed of 48 words per minute. In how much time, will she be able to type the same document?

    Right Option : B
    View Explanation
    Explanation
     
     
     
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