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    Question

    Arjun and Neha started a firm with investments of

    Rs.12000 and Rs.9000 respectively. Arjun invested for 8 months more than Neha. If the profit share of Neha is 50% less than that of Arjun, find NehaтАЩs investment period.
    A 16 Correct Answer Incorrect Answer
    B 12 Correct Answer Incorrect Answer
    C 28 Correct Answer Incorrect Answer
    D 45 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the investment period of Neha = a Then ArjunтАЩs investment period = a + 8 The ratio of profit share of Arjun to Neha = 100:(100 тАУ 50) = 100:50 = 2:1 Investment ratio of Arjun to Neha = 12000:9000 = 4:3 According to question, 4(a + 8)/3a = 2/1 4(a + 8) = 6a 4a + 32 = 6a 2a = 32 a = 16 The investment period of Neha = 16 months

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