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    Club A has won 30% of the first 60 matches played in a season. So how many additional minimum matches should Club A play to achieve a 44% success rate
    Question

    Club A has won 30% of the first 60 matches played in a season. So how many additional minimum matches should Club A play to achieve a 44% success rate in that season?

    A.

    15

    B.

    20

    C.

    30

    D.

    25

    Correct option is A

    Given:
    Club A won 30% of 60 matches.
    Target success rate = 44%
    Formula Used:
    Success rate = Total winsTotal matches\frac{Total\ wins}{Total\ matches} ​× 100
    Solution:
    Matches won initially = 30100\frac{30}{100}​ × 60 = 18
    Let x be the minimum additional matches to be played.
    To minimize the number, assume Club A wins all these x matches.
    Total matches played = 60 + x
    Total matches won = 18 + x
    18+x60+x=44100=1125\frac{18 + x}{60 + x} = \frac{44}{100} = \frac{11}{25}​​
    25(18 + x) = 11(60 + x)
    450 + 25x = 660 + 11x
    14x = 210
    x = 21014\frac{210}{14}​ = 15
    Final Answer
    So the correct answer is (a)

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