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    Question

    Arjun and Bheem invested in a business with their

    initial investments in the ratio 5:6, respectively. After one year, Arjun increased his investment by 40%, while Bheem increased his by 50%. If the total profit earned at the end of two years was Rs. 9,000, what was Arjun’s share of the profit?
    A Rs.4000 Correct Answer Incorrect Answer
    B Rs.3200 Correct Answer Incorrect Answer
    C Rs.1145 Correct Answer Incorrect Answer
    D Rs.2520 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the initial investments of ‘Arjun’ and ‘Bheem’ be Rs. ‘5x’ and Rs. ‘6x’, respectively

    Then, increased investment of ‘Arjun’ = 5x × 1.4 = Rs. ‘7x’

    Increased investment of ‘Bheem’ = 6x × 1.5 = Rs. ‘9x’

    So, ratio of profit shares of ‘Arjun’ and ‘Bheem’ = (5x + 7x):(6x + 9x) = 12x:15x = 4:5

    So, profit share of ‘Arjun’ at the end of two years = Rs. 9000 × (4/9) = Rs. 4,000

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