text: # Jay started a business investing Rs. 12,000. After four months, Ajay joined him with a capital of Rs. 16,000. At the end of the year, they made a profit of Rs. 5,100. What should Ajay's share be in the venture?
  
  This question was previously asked in
  MP Police Constable Previous Paper 21 (Held On: 31 Aug 2017 Shift 1)
  View all MP Police Constable Papers >
  1. Rs. 2,400
  2. Rs. 2,700
  3. Rs. 3,600
  4. Rs. 3,200
  
  Option 1 : Rs. 2,400
  
  ## Detailed Solution
  
  Given:
  
  Total annula profit = Rs. 5100
  
  Investment of Jay = Rs. 12000
  
  Investment of  Ajay = Rs. 16000
  
  Time period of investment of Jay = 12 months
  
  Time period of investment of Ajay = 8 months
  
  Concept Used:
  
  Profit Ratio = (Investment × Time Period) Ratio
  
  Calculation:
  
  Investment × time period of Jay = 12000 × 12
  
  Investment × time period of Ajay = 16000 × 8
  
  Profit Ratio of (Jay : Ajay) = 12000 × 12 : 16000 × 8
  
  ⇒ Profit Ratio of (Jay : Ajay) = 9 : 8
  
  Now, share of Ajay =  5100 × 8/17
  
  ∴ Share of Ajay = Rs. 2400
explanation: The document contains a math question related to profit sharing in a business partnership, along with the correct answer and a detailed solution.
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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: # Jay started a business investing Rs. 12,000. After four months, Ajay joined him with a capital of Rs. 16,000. At the end of the year, they made a profit of Rs. 5,100. What should Ajay's share be in the venture?
  
  This question was previously asked in
  MP Police Constable Previous Paper 21 (Held On: 31 Aug 2017 Shift 1)
  View all MP Police Constable Papers >
  1. Rs. 2,400
  2. Rs. 2,700
  3. Rs. 3,600
  4. Rs. 3,200
  
  Option 1 : Rs. 2,400
  
  ## Detailed Solution
  
  Given:
  
  Total annula profit = Rs. 5100
  
  Investment of Jay = Rs. 12000
  
  Investment of  Ajay = Rs. 16000
  
  Time period of investment of Jay = 12 months
  
  Time period of investment of Ajay = 8 months
  
  Concept Used:
  
  Profit Ratio = (Investment × Time Period) Ratio
  
  Calculation:
  
  Investment × time period of Jay = 12000 × 12
  
  Investment × time period of Ajay = 16000 × 8
  
  Profit Ratio of (Jay : Ajay) = 12000 × 12 : 16000 × 8
  
  ⇒ Profit Ratio of (Jay : Ajay) = 9 : 8
  
  Now, share of Ajay =  5100 × 8/17
  
  ∴ Share of Ajay = Rs. 2400
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question related to profit sharing in a business partnership, along with the correct answer and a detailed solution.
  
  Label: question-and-answer