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    Question

    Karan and Arjun invested money in a business in the

    ratio 7 : 3, respectively. After 8 months, Karan withdrew 25% of his investment, whereas Arjun increased his investment by 100%. If at the end of 2 years, the profit earned by Arjun was Rs. 28,000 more than that by Karan, then find the total profit earned.
    A Rs. 3,56,000 Correct Answer Incorrect Answer
    B Rs. 3,64,000 Correct Answer Incorrect Answer
    C Rs. 3,60,000 Correct Answer Incorrect Answer
    D Rs. 3,48,000 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let investments be Rs. ‘7x’ and Rs. ‘3x’. Ratio of profit shares: = {(7x × 8) + (7x × 3/4 × 16)} : {(3x × 8) + (3x × 2 × 16)} = (56x + 84x) : (24x + 96x) = 140x : 120x = 7 : 6 Let total profit = 13y ATQ: 7y - 6y = 28000 Or, y = 28000 Total profit = 13 × 28000 = Rs. 3,64,000

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