A company has 40 employees whose names are listed in a certain order. In the year 2022, the average bonus of the first 30 employees was Rs. 40000, of the last 30 employees was Rs. 60000, and of the first 10 and last 10 employees together was Rs. 50000. Next year, the average bonus of the first 10 employees increased by 100%, of the last 10 employees increased by 200% and of the remaining employees was unchanged. Then, the average bonus, in rupees, of all the 40 employees together in the year 2023 was

Options

  1. 90000
  2. 95000
  3. 80000
  4. 85000

Correct Answer

95000

Explanation

Let: Sum of first 10 employees = A Sum of next 20 employees = B Sum of last 10 employees = C From given averages in 2022: First 30 employees: (A + B)/30 = 40000 → A + B = 1200000 Last 30 employees: (B + C)/30 = 60000 → B + C = 1800000 First 10 + last 10: (A + C)/20 = 50000 → A + C = 1000000 Solve for A, B, C: From A + B = 1200000 and A + C = 1000000 → B − C = 200000 From B + C = 1800000 → B = 1000000, C = 800000, A = 200000 Check: A + B = 200000 + 1000000 = 1200000 ✔ B + C = 1000000 + 800000 = 1800000 ✔ A + C = 200000 + 800000 = 1000000 ✔ Bonuses in 2023: First 10 ↑ 100% → 2 × 200000 = 400000 Last 10 ↑ 200% → 3 × 800000 = 2400000 Middle 20 unchanged → 1000000 Total sum in 2023 = 400000 + 1000000 + 2400000 = 3800000 Average for 40 employees = 3800000 / 40 = 95000

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