Question
In a factory, the average salary of all employees is Rs.
5600 and the average salary of 24 supervisor is 7200. If the average salary of labours is 4800, then the number of total employees in factory be?Solution
Method 1:- By Alligation, Supervisor labours 7200 4800 5600 800 : 1600 1 : 2 So number of labour = twice of number of supervisors = 2`xx` 24 = 48 So total number of employees = 24+48= 72 Method 2: Let the number of Labour = x So 24*7200 + x*4800 = (24+x)*5600 24*72 + 48x = (24+x)*56 24*72+48x = 24*56 + 56x 56x - 48x = 24*72 - 24*56 = 24(72-56) = 24*16 8x = 24*16 x = 24*2 = 48 So total number of employees = 24+48= 72
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COGENT
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