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    Question

    ‘X’ and ‘Y’ started a business together. The

    amount invested by ‘X’ is 40% more than that of ‘Y’, while ‘Y’ invested his amount for 20% less time than ‘X’. What is the ratio of the profits earned by ‘X’ and ‘Y’ after a year?
    A 5:7 Correct Answer Incorrect Answer
    B 7:4 Correct Answer Incorrect Answer
    C 1:5 Correct Answer Incorrect Answer
    D 9:5 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the amount invested by ‘Y’ be Rs. a

    Therefore, amount invested by ‘X’ = Rs. 1.4a

    Let the time for which ‘X’ invested be ‘b’ months

    Therefore, time for which ‘Y’ invested = 0.8b months

    Ratio of the profits earned = (1.4a × b):(a × 0.8b) = (1.4b):(0.8b) = 14:8 = 7:4

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