text: Question
  
  # Rajendra and Rehana own a business. Rehana receives $25%$ of the profit in each month. If Rehana received $Rs.2080$ in a particular month, what is the total profit in that month?
  
  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.
  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.
  Letâ€™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 $100%$.
explanation: The document contains a math question and a detailed solution to the problem. The question asks for the total profit in a month given that Rehana receives 25% of the profit and received Rs.2080 in a particular month. The solution uses the percentage formula and the unitary method to determine that the total profit is Rs.8320.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
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  1. Briefly describe the document and mention if it contains a question or a question and answer.
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distilabel_metadata.role: system
distilabel_metadata.content: Question
  
  # Rajendra and Rehana own a business. Rehana receives $25%$ of the profit in each month. If Rehana received $Rs.2080$ in a particular month, what is the total profit in that month?
  
  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.
  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.
  Letâ€™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 $100%$.
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question and a detailed solution to the problem. The question asks for the total profit in a month given that Rehana receives 25% of the profit and received Rs.2080 in a particular month. The solution uses the percentage formula and the unitary method to determine that the total profit is Rs.8320.
  
  Label: question-and-answer