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The average salary per head of the entire staff of a small factory including the managers and technicians is Rs.5750. The average salary per head of the manager is Rs. 20000 and that of technicians is Rs. 5000. If there are four managers, then the number of technicians in the factory is:

Solution

Correct Option: 3

Let the number of technicians =T= T

Total salary of managers =4×20000=Rs.  80,000= 4 \times 20000 = Rs.\;80,000

Total salary of technicians =T×5000=Rs.  5000T= T \times 5000 = Rs.\;5000T


Average salary of entire staff =Total salary of everyoneTotal number of people= \dfrac{\text{Total salary of everyone}}{\text{Total number of people}}

5750=80000+5000T4+T5750 = \dfrac{80000 + 5000T}{4 + T}


5750×(4+T)=80000+5000T5750 \times (4 + T) = 80000 + 5000T

23000+5750T=80000+5000T23000 + 5750T = 80000 + 5000T

5750T5000T=80000230005750T - 5000T = 80000 - 23000

750T=57000750T = 57000

T=57000750T = \dfrac{57000}{750}

T=76T = 76


The number of technicians in the factory is 7676.

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