Question

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

• A. 90000
• B. 95000
• C. 85000
• D. 80000

Answer 1

Answer: (B)

95000

Answer 2

2022: Total bonus for first 30 employees = 30 × 40000 = 1200000
Total bonus for last 30 employees = 30 × 60000 = 1800000
Total bonus for first 10 and last 10 employees = 20 × 50000 = 1000000

2023: Total bonus for first 10 employees = 10 × 2 × 40000 = 800000
Total bonus for last 10 employees = 10 × 3 × 60000 = 1800000
Total bonus for remaining 20 employees = 20 × 40000 = 800000

Total bonus in 2023 = 800000 + 1800000 + 800000 = 3400000
Average bonus in 2023 = $\frac{\text{Total bonus}}{\text{Total employees}} = \frac{3400000}{40} = 85000$

Therefore, the average bonus in 2023 is 85000.