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    Question

    'Aditi' and 'Misti' embarked on a business venture, initially investing sums denoted as 'm' and 'm + 3000', respectively. Four months later, 'Aditi' chose to amplify her investment by an additional Rs. 3,000, whereas 'Misti' opted to withdraw Rs. 2,000 from his initial capital. As the year concluded, 'Aditi' claimed her share of the profit, amounting to Rs. 42,000, out of a total profit pool of Rs. 83,000. Could you ascertain the initial capital 'Misti' invested in this enterprise?

    A Rs.15,000 Correct Answer Incorrect Answer
    B Rs.15,020 Correct Answer Incorrect Answer
    C Rs.15,500 Correct Answer Incorrect Answer
    D Rs.12,000 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

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

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