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

In a hospital, the monthly consumption of milk of 60 patients is 1350 litres. How many patients can be accommodated in the hospital if the monthly ration of milk is raised to 1710 litres, assuming that the quota per head remains the same?

Right Option : A
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Explanation
Question : 2

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

    Right Option : B
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    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
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    Explanation
     
     
     
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