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    Question

    'A' and 'B' started a business by investing Rs. '3x' and

    Rs. '6x' respectively. Four months later, 'A' withdrew Rs. 500 from his investment whereas 'B' invested Rs. 200 more. If at the end of the year, profit share of 'A' was Rs. 8,000 out of total profit of Rs. 28,000, then find the initial investment of 'B'.
    A Rs.3,867 Correct Answer Incorrect Answer
    B Rs.1,500 Correct Answer Incorrect Answer
    C Rs.2,000 Correct Answer Incorrect Answer
    D Rs.4,800 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Given: A = тВ╣3x, B = тВ╣6x After 4 months: A тЖТ 3xтИТ500, B тЖТ 6x+200 Total profit = тВ╣28,000, AтАЩs share = тВ╣8,000 A : B profit = 8000 : 20000 = 2 : 5 AтАЩs share = (3x├Ч4) + (3xтИТ500)├Ч8 = 36x тИТ 4000 BтАЩs share = (6x├Ч4) + (6x+200)├Ч8 = 72x + 1600 Set ratio: (36x тИТ 4000)/(72x + 1600) = 2/5 Solve: 5(36x тИТ 4000) = 2(72x + 1600) 180x тИТ 20000 = 144x + 3200 36x = 23200 тЖТ x = 644.44 BтАЩs initial = 6x = 6 ├Ч 644.44 = тВ╣3867

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