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      Question

      Ankush and Bittu started a

      business together, where Ankush invested Rs. 'p' and Bittu invested Rs. 'p + 3000' initially. After 4 months, Ankush increased his investment by Rs. 3,000, while Bittu reduced his investment by Rs. 2,000. At the end of the year, the total profit was Rs. 83,000, and Ankush's share of the profit was Rs. 42,000. Determine the initial investment made by Bittu
      A Rs.15,500 Correct Answer Incorrect Answer
      B Rs.18,000 Correct Answer Incorrect Answer
      C Rs.15,000 Correct Answer Incorrect Answer
      D Rs.10,000 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Ratio of profit shares of ‘Ankush’ and ‘Bittu’ = {(4 × p) + 8 × (p + 3000)}:{4 × (p + 3000) + 8 × (p + 3000 – 2000)} = 3(p + 2000):(3p + 5000) Profit share of ‘Bittu’ = 83000 – 42000 = Rs. 41,000 ATQ; {3 × (p + 2000)}/{3p + 5000} = (42000/41000) 41 × (p + 2000) = 14 × (3p + 5000) Or, 41p + 82000 = 42p + 70000 Or, p = 12000 So, investment made by ‘Bittu’ initially = 12000 + 3000 = Rs. 15,000

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