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    Question

    ‘R’ and ‘S’ together can finish a work in 25

    days. If ‘R’ increases his efficiency by 60% and ‘S’ decreases his efficiency by 20%, then the time taken remains unchanged. Find the ratio of efficiencies of ‘R’ and ‘S’, respectively.
    A 1:2 Correct Answer Incorrect Answer
    B 2:3 Correct Answer Incorrect Answer
    C 3:4 Correct Answer Incorrect Answer
    D 1:1 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the efficiency of ‘R’ and ‘S’ be ‘x’ units/day and ‘y’ units/day, respectively. So, total work = {(x + y) × 25} units After change in efficiencies, Also, total work = (1.6x + 0.8y) × 25 So,
    1.6x + 0.8y = x + y Or,
    0.6x = 0.2y Or,
    x : y = 1 : 3 So, ratio of efficiency of ‘R’ and ‘S’ = 1 : 3

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