Bonus Shared Equally: Is the Salesperson Correct?

Published on August 26, 2024

Question

Answer

Let’s solve this problem step by step:
  1. First, let’s calculate how much bonus each group gets:
    • Total bonus: Rs 21000
    • Managers get 40%: 0.40 × 21000 = Rs 8400
    • Salespeople get the rest: 21000 - 8400 = Rs 12600
  2. Now, let’s calculate how much each person gets in the current distribution:
    • Each manager gets: 8400 ÷ 3 = Rs 2800
    • Each salesperson gets: 12600 ÷ 7 = Rs 1800
  3. If the bonus was shared equally between all 10 people:
    • Each person would get: 21000 ÷ 10 = Rs 2100
  4. Let’s compare what a salesperson gets now vs. what they would get if shared equally:
    • Current amount: Rs 1800
    • Equal share amount: Rs 2100
  5. To check if this is 25% more, we can calculate:
    • Percentage increase = (2100 - 1800) ÷ 1800 × 100
    • = 300 ÷ 1800 × 100
    • = 0.1666… × 100
    • ≈ 16.67%
  6. 16.67% is less than 25%
Therefore, the salesperson is not correct. If the bonus was shared equally between all 10 people, they would get about 16.67% more money, not 25% more.
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