Question
Download Solution PDFThe average monthly salary of the workers in a workshop is ₹ 8,500. If the average monthly salary of 7 workers is ₹ 10,000 and average monthly salary of the rest is ₹ 7,800, the total number of workers in the workshop is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Average monthly salary of all workers = ₹8,500
Average monthly salary of 7 workers = ₹10,000
Average monthly salary of the rest = ₹7,800
Formula used:
Let the total number of workers be N.
Total salary of all workers = Average salary × Total number of workers
Total salary of 7 workers = 7 × ₹10,000
Total salary of (N - 7) workers = (N - 7) × ₹7,800
Total salary of all workers = Total salary of 7 workers + Total salary of (N - 7) workers
Calculation:
₹8,500 × N = ₹10,000 × 7 + ₹7,800 × (N - 7)
⇒ 8500N = 70000 + 7800(N - 7)
⇒ 8500N = 70000 + 7800N - 54600
⇒ 8500N - 7800N = 70000 - 54600
⇒ 700N = 15400
⇒ N =
⇒ N = 22
∴ The correct answer is option (3).
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