text: ### Two partners invested Rs. 125000 and Rs. 85000 respectively in a business. They distribute 60% of the profit equally and decide to distribute the remaining 40% as the interest on their capitals. If one partner received Rs. 3000 more than the other, the total profits is ?
  
  A. Rs. 42250 B. Rs. 39375 C. Rs. 38840 D. Rs. 36575 Answer: Option B
  $\begin{array}{l}\text{Let the total profit be Rs.}\ x\\ \text{Then, 60% of the profit}\\ =\text{Rs.}\ \left(\large\frac{60}{100}\times x\right)\\ =\text{Rs.}\ \Large\frac{\text{3x}}{5}\end{array}$ From this part of the profit each gets = Rs.$\Large\frac{3 x}{10}$ $\begin{array}{l} \text{40% of total profit}\\ =\text{Rs.}\ \left(\large\frac{40}{100}\times x\right)\\ =\text{Rs.}\ \Large\frac{\text{2x}}{5}\end{array}$ Now, this amount of Rs.$\Large\frac{2 x}{5}$has been divided in the ratio of capitals, which is 125000 : 85000 or 25 : 17 as interests ∴ Interest on first capital \begin{aligned}&=\text{ Rs. }\left(\frac{2x}{5}\times\frac{25}{42}\right)\\ &=\text{ Rs. }\frac{5x}{21}\end{aligned} Interest on second capital \begin{aligned}&=\text{ Rs. }\left(\frac{2x}{5}\times\frac{17}{42}\right)\\ &=\text{ Rs. }\frac{17x}{105}\end{aligned} Total money received by first partner \begin{aligned}&=\text{ Rs. }\left(\frac{3x}{10}+\frac{5x}{21}\right)\\ &=\text{ Rs. }\frac{113x}{210}\end{aligned} Total money received by second partner \begin{aligned}&=\text{ Rs. }\left(\frac{3x}{10}+\frac{17x}{105}\right)\\ &=\text{ Rs. }\frac{97x}{210}\\ &\therefore\frac{113x}{210}-\frac{97x}{210}=3000\\ &\Rightarrow x=39375\end{aligned} Hence, Total profit Rs.39375
explanation: The document contains a math problem and its solution. The problem involves calculating the total profit based on the distribution of profits between two partners. The solution is provided, and the correct answer is given as Option B (Rs. 39375).
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: ### Two partners invested Rs. 125000 and Rs. 85000 respectively in a business. They distribute 60% of the profit equally and decide to distribute the remaining 40% as the interest on their capitals. If one partner received Rs. 3000 more than the other, the total profits is ?
  
  A. Rs. 42250 B. Rs. 39375 C. Rs. 38840 D. Rs. 36575 Answer: Option B
  $\begin{array}{l}\text{Let the total profit be Rs.}\ x\\ \text{Then, 60% of the profit}\\ =\text{Rs.}\ \left(\large\frac{60}{100}\times x\right)\\ =\text{Rs.}\ \Large\frac{\text{3x}}{5}\end{array}$ From this part of the profit each gets = Rs.$\Large\frac{3 x}{10}$ $\begin{array}{l} \text{40% of total profit}\\ =\text{Rs.}\ \left(\large\frac{40}{100}\times x\right)\\ =\text{Rs.}\ \Large\frac{\text{2x}}{5}\end{array}$ Now, this amount of Rs.$\Large\frac{2 x}{5}$has been divided in the ratio of capitals, which is 125000 : 85000 or 25 : 17 as interests ∴ Interest on first capital \begin{aligned}&=\text{ Rs. }\left(\frac{2x}{5}\times\frac{25}{42}\right)\\ &=\text{ Rs. }\frac{5x}{21}\end{aligned} Interest on second capital \begin{aligned}&=\text{ Rs. }\left(\frac{2x}{5}\times\frac{17}{42}\right)\\ &=\text{ Rs. }\frac{17x}{105}\end{aligned} Total money received by first partner \begin{aligned}&=\text{ Rs. }\left(\frac{3x}{10}+\frac{5x}{21}\right)\\ &=\text{ Rs. }\frac{113x}{210}\end{aligned} Total money received by second partner \begin{aligned}&=\text{ Rs. }\left(\frac{3x}{10}+\frac{17x}{105}\right)\\ &=\text{ Rs. }\frac{97x}{210}\\ &\therefore\frac{113x}{210}-\frac{97x}{210}=3000\\ &\Rightarrow x=39375\end{aligned} Hence, Total profit Rs.39375
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math problem and its solution. The problem involves calculating the total profit based on the distribution of profits between two partners. The solution is provided, and the correct answer is given as Option B (Rs. 39375).
  
  Label: question-and-answer