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The average salary, per head, of all the workers of an institution is Rs.60. The average salary of 12 officers is Rs.400; the average salary, per head, of the rest is Rs.56. The total number of workers in the institution is
Options:
A .  1032
B .  1020
C .  1035
D .  1030
Answer: Option A
Answer: (a)Number of other workers except officers = x ∴ 12 × 400 + x × 56 = (x + 12) × 60 ⇒ 4800 + 56x = 60x + 720 ⇒ 60x – 56x = 4800 – 720 ⇒ 4x = 4080 ⇒ x = $4080/4$ = 1020 ∴ Total number of workers = 1020 + 12 = 1032

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