Answer
452.4k+ views
Hint: Use the formula of percentage which says that \[x%\] of \[y\] has the value \[\dfrac{xy}{100}\], to calculate the total profit earned by them in a month. We can also use a unitary method to calculate the total profit earned.
Complete step-by-step answer:
We know that Rehana receives \[25%\] of total profit in each month. For a particular month, she received \[Rs.2080\]. We have to calculate the total profit earned by them in that month.
Let’s assume that the total profit earned by them in that particular month is \[Rs.a\].
\[25%\] of \[Rs.a\] is \[Rs.2080\].
We know that the value of \[x%\] of \[y\] is \[\dfrac{xy}{100}\].
Substituting \[x=25,y=Rs.a\], we have \[25%\] of \[Rs.a=\dfrac{25\left( a \right)}{100}=Rs.2080\].
Simplifying the above equation, we have \[\dfrac{a}{4}=Rs.2080\].
\[\Rightarrow a=Rs.2080\times 4=Rs.8320\]
Thus, we have \[a=Rs.8320\].
Hence, the total profit earned by them in that particular month is \[Rs.8320\].
Note: We can also solve this question using a unitary method. If \[Rs.a\] denotes the total profit earned in a month, then \[Rs.a\] is equivalent to \[100%\] of profit. As \[25%\] of total profit is \[Rs.2080\], \[1%\] of total profit will be \[\dfrac{Rs.2080}{25}\]. Thus, \[100%\] of total profit will be \[\dfrac{Rs.2080}{25}\times 100\], which is equal to \[Rs.8320\]. Unitary method is a technique used for solving a problem by first finding the value of a single unit and then finding the necessary value by multiplying the single unit value. The word unitary refers to a single or individual unit. Hence, this method aims at determining the value in relation to a single unit. Percentage is a number or a ratio that represents a fraction out of \[100\]. It is a dimensionless number. As percentage represents a fraction out of \[100\], we can take the total value of quantity as \[100%\].
Complete step-by-step answer:
We know that Rehana receives \[25%\] of total profit in each month. For a particular month, she received \[Rs.2080\]. We have to calculate the total profit earned by them in that month.
Let’s assume that the total profit earned by them in that particular month is \[Rs.a\].
\[25%\] of \[Rs.a\] is \[Rs.2080\].
We know that the value of \[x%\] of \[y\] is \[\dfrac{xy}{100}\].
Substituting \[x=25,y=Rs.a\], we have \[25%\] of \[Rs.a=\dfrac{25\left( a \right)}{100}=Rs.2080\].
Simplifying the above equation, we have \[\dfrac{a}{4}=Rs.2080\].
\[\Rightarrow a=Rs.2080\times 4=Rs.8320\]
Thus, we have \[a=Rs.8320\].
Hence, the total profit earned by them in that particular month is \[Rs.8320\].
Note: We can also solve this question using a unitary method. If \[Rs.a\] denotes the total profit earned in a month, then \[Rs.a\] is equivalent to \[100%\] of profit. As \[25%\] of total profit is \[Rs.2080\], \[1%\] of total profit will be \[\dfrac{Rs.2080}{25}\]. Thus, \[100%\] of total profit will be \[\dfrac{Rs.2080}{25}\times 100\], which is equal to \[Rs.8320\]. Unitary method is a technique used for solving a problem by first finding the value of a single unit and then finding the necessary value by multiplying the single unit value. The word unitary refers to a single or individual unit. Hence, this method aims at determining the value in relation to a single unit. Percentage is a number or a ratio that represents a fraction out of \[100\]. It is a dimensionless number. As percentage represents a fraction out of \[100\], we can take the total value of quantity as \[100%\].
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Why Are Noble Gases NonReactive class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let X and Y be the sets of all positive divisors of class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
At which age domestication of animals started A Neolithic class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)