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    Question

    The total number of cars to the total number of bikes

    in Showrooms P and Q is in the ratio 60:17. Additionally, the number of bikes in Showroom P to those in Showroom Q is in the ratio 5:3. Given that the total number of cars across both showrooms is 600, determine the approximate difference in the number of bikes between Showroom P and Showroom Q.
    A 65 Correct Answer Incorrect Answer
    B 18 Correct Answer Incorrect Answer
    C 26 Correct Answer Incorrect Answer
    D 43 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ;

    Total cars : total bikes = 60 : 17

    Total cars = 600

    So total bikes = (17/60) × 600 = 170

    Ratio of bikes in Showroom P : Q = 5 : 3

    Difference = 170 × (5−3)/(5+3) = 42.5 (rounded to 43)

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