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    Question

    The monthly incomes of Sarah and David are in the ratio

    5:6, respectively, and the respective ratio of their savings is 1:2. If the monthly savings of Sarah are exactly the same as the monthly expenditure of David, what percentage of Sarah's income does she spend, and how does that compare to the percentage of David's income he spends?"
    A 44% Correct Answer Incorrect Answer
    B 25% Correct Answer Incorrect Answer
    C 50% Correct Answer Incorrect Answer
    D 15% Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the monthly savings of Saraha and David be Rs. x and Rs. 2x, respectively. So, the monthly expenditure of David = Rs. x So, the monthly income of David = 2x + x = Rs. 3x Monthly income of Saraha = 3x × 5/6 = Rs. 2.5x Monthly expenditure of Saraha = 2.5x – x = Rs. 1.5x So, the desired percentage = (1.5x – x)/x × 100 = 50%

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