Subject

    Quantitative Aptitude

    Topic

    Percentage

    In a company, there are 75% skilled workers and remaining ones are unskilled. 80% of skilled workers and 20% of unskilled workers are permanent. If number of temporary workers is 126, then find the number of total workers.

    ক)
    124
    খ)
    388
    গ)
    324
    ঘ)
    360
    ঙ)
    None of these

    Explanation

    Let the total number of workers be ‘x’, then according to the question, Skilled workers = 75% of x Unskilled workers = (100-75)% = 25% of x, Permanent workers = 20% of unskilled workers + 80% of skilled workers = 20% of 25% of x + 80% of 75% of x = x × (20/100) × (25/100) + x × (80/100) × (75/100) = x {0.05 + 0.6} = 0.65x According to the question, remaining workers are temporary whose number is 126, ⇒ (1 - 0.65)x = 126 ⇒ 0.35x = 126 ⇒ x = 126/0.35 = 360 Hence, the required number of workers is 360.

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