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The average salary per head of the entire staff of an office including the officers and clerks is Rs.90. The average salary per head of the officers is Rs.600 and that of the clerk is Rs.84. If the number of officers is 12, find the number of clerks in the office?

A. 

1540

B. 

960

C. 

840

D. 

1020

Answer
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Answer with explanation

Answer: Option D

Explanation

Let number of clerk be x.

Average salary of entire staff = Rs. 90

Average salary of per head officer = Rs. 600

Number of head officers = 12

Total salary of 12 officer = 600 * 12 = Rs. 7200

Average salary of clerk = Rs. 84

Total salary of clerk = x * 84

12 + x (90) = 7200 + 84x

1080 + 90x = 7200 + 84x

6x = 6120

x = 1020

Hence, Number of clerks in the office = 1020.

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Comments

  1. aruna says

    April 8, 2020 at 10:08 pm

    not understand

    Reply
    • Vamsi says

      April 9, 2020 at 6:42 pm

      Let number of clerk be x.
      Number of head officers = 12
      total staff is 12+x
      Average salary of entire staff = Rs. 90
      Average salary of per head officer = Rs. 600
      Total salary of 12 officer = 600 * 12 = Rs. 7200
      Total salary of entire staff is (12+x)90
      Average salary of clerk = Rs. 84
      Total salary of clerks is x*84
      then (12 + x )(90) = 7200 + 84x

      1080 + 90x = 7200 + 84x

      6x = 6120

      x = 1020

      Reply

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