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    Subject

    Bank Exam

    Topic

    Jamuna Bank Ltd. - Probationary Officer - 2017

    A football team its first 8 games of the season, and then won 25% of its remaining games. If it won 50% of its games for the entire season, how many games did it play that season ?

    ক)
    16
    খ)
    20
    গ)
    24
    ঘ)
    None

    Explanation

    Solution: প্রশ্নে বলা হচ্ছে যে, একটি ফুটবল টিম প্রথম আটটি খেলায় জিতলো । এরপর বাকি খেলার 25% খেলায় জিতলো । মোটের উপর দলটি 25% খেলায় জিতলো কতটি খেলায় তারা অংশগ্রহণ করেছিল ? ধরি, মোট অংশগ্রহণ করেছে x টি খেলায় । প্রথম আটটি খেলায় জিতলে বাকি থাকে (x - 8) টি খেলা । প্রশ্নমতে, 50% of x = 8 + (x - 8) এর 25%                   => 50x100=8+(x−8)×25100\frac{{50x}}{{100}} = 8 + \frac{{(x - 8) \times 25}}{{100}} => x2=8+x−84\frac{x}{2} = 8 + \frac{{x - 8}}{4}     => x2=32+(x−8)4\frac{x}{2} = \frac{{32 + (x - 8)}}{4}       => x2=24+x4\frac{x}{2} = \frac{{24 + x}}{4}      => 4x = 48 + 2x => 4x - 2x = 48                   x = 482\frac{{48}}{2} = 24 অর্থাৎ দল মোট 24 টি খেলায় অংশগ্রহণ করেছিল ।

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