The average salary per head of all the workers in a workshop is Rs8 850 If the average salary per he...........

Quantitative Aptitude (CHSL) Average

The average salary per head of all the workers in a workshop is Rs8,850. If the average salary per head of 9 technicians is

Rs10,000, and the average salary per head of the rest is Rs7,780, find the total number of workers in the workshop.(Consider

integral part only)

This questions was previously asked in

SSC CHSL 7th June 2022 Shift-2

Let’s break down the statements and calculations:

- Let total workers = N.

- The 9 technicians earn an average of Rs 10,000 each.

- The rest (N-9) earn an average of Rs 7,780 each.

- The overall average is Rs 8,850.

So,

Total salary = 10,000 × 9 + 7,780 × (N-9)

Average = Total salary/N

8850 = [10,000×9 + 7,780×(N-9)] / N

Multiply both sides by N:

8850N = 90,000 + 7,780N - 70,020

8850N = 7,780N + 19,980

8850N - 7,780N = 19,980

1070N = 19,980

N = 19,980 / 1070 ˜ 18.67

- Integral part is 18, which matches Option 1

- Other options (22, 24, 16) do not fit the calculation.

Correct answer:

Option 1: 18

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