In the year 2013 in a company the ratio of employees in three different departments HR MT and TA are...........

Quantitative Aptitude ( CCS) Ratio, Proportion

In the year 2013, in a company the ratio of employees in three different departments HR, MT and TA are 2:3:4 respectively. In the year 2014 in each department if ‘n’ number of employees left then the ratio becomes 3:5:7. In the year 2015 in each department 5 employees left then the ratio became 1:2:3. Then what is the total number of employees in the year 2014?

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Explanation:

In the year 2013 = 2x: 3x: 4x
In the year 2014 = 3y:5y:7y
3y-5/5y-5 = ½
y = 5
Employees in 2014 = 15, 25, 35
Now 2x-n = 15
3x-n =25
x =10
Employees in 2013 = 20, 30, 40
No of left in 2014 = 3*5 = 15