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    Question

    ‘P’ alone can do 60% of a work in 18 days and

    ‘Q’ alone can do 30% of the same work in 9 days. ‘P’, ‘Q’ and ‘R’ together can finish the work in 10 days. The efficiency of ‘Q’ is what percent of the efficiency of ‘R’?
    A 100% Correct Answer Incorrect Answer
    B 120% Correct Answer Incorrect Answer
    C 180% Correct Answer Incorrect Answer
    D 220% Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, ‘P’ alone can do the complete work in (18/60) × 100 = 30 days ‘Q’ alone can do the complete work in (9/30) × 100 = 30 days Let total work = 300 units P’s efficiency = 300/30 = 10 units per day Q’s efficiency = 300/30 = 10 units per day P, Q and R’s efficiency = 300/10 = 30 units per day R’s efficiency = 30 – 10 – 10 = 10 units per day Required percentage = (10/10) × 100 = 100%

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