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Discussion :: Ratio and Proportion

  1. The number of employees is reduced in the ratio 3: 2 and the salary of each employee are increased in the ratio 4: 5. By doing so, the company saves Rs. 12000. What was the initial expenditure on the salary?

  2. A.
    62000
    B.
    60000
    C.
    50000
    D.
    72000

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    Answer : Option D

    Explanation :

                                                             Initial: Final
    ATQ, the number of employees:        3   :   2
    The salary of each employee:             4   :   5
    Then the expenditure will be:   4*3 = 12:   2*5 = 10
    12 (initial expenditure): 10 (final expenditure)
    Or, if the final expenditure = 10, that means the initial expenditure was 12.
    We can say that the total expenditure reduced by = 12-10 =2units
    Or, 2 units = 12000 (as it is given that 12000 is saved by the company)
    So, 1 unit = 6000
    Now, the initial expenditure on salary = 12 units *6000 = Rs.72000
    [12 comes from ratio 12: 10 where 12 indicates initial expenditure and 10 final expenditure]


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