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      Question

      ‘P’ started a business by investing Rs. 1,500. Six

      months later, ‘Q’ joined him by making an investment which is equal to 80% of the investment made by ‘P’. If at the end of the year, total profit received by them is Rs. 5,400, then find the profit share of ‘Q’.
      A Rs 1000.05 Correct Answer Incorrect Answer
      B Rs 1250.55 Correct Answer Incorrect Answer
      C Rs.1542.86 Correct Answer Incorrect Answer
      D Rs 1600.25 Correct Answer Incorrect Answer
      E Rs 1800.55 Correct Answer Incorrect Answer

      Solution

      Given: P invested ₹1500 for 12 months Q invested 80% of ₹1500 = ₹1200 for 6 months Total profit = ₹5400 Find Q’s share of profit Calculate weighted investment (investment × time) P: 1500×12=18000 Q: 1200×6=7200 Ratio of P:Q = 18000:7200=5:2 Total parts = 5 + 2 = 7 Q’s share = 2/7 × 5400 = ₹1542.86

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