Subject

    Quantitative Aptitude

    Topic

    Ratio

    In a company, at the time of inflation, the number of employees are reduced in the ratio 3 : 2 and the salary of each employee is increased in the ratio 4 : 5. By doing so, the company saves  24, 000. So, find the initial expenditure on salary.

    ক)
    72000
    খ)
    65000
    গ)
    87000
    ঘ)
    144000
    ঙ)
    None of these

    Explanation

    Let number of employees earlier = 3a Then number of employees now = 2a Average salary of employees earlier = 4b Average salary of employees now = 5b Total salary of employees earlier = 3a × 4b = 12ab Total salary of employees now = 2a × 5b = 10ab Difference = 12ab – 10ab = 2ab Given that 2ab =  24000----- (1) Then, initial expenditure = 12ab = 2ab × 6 (using (1)) = 144000

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