Two employees of Company X, Winnie and Ali, have been informed that they will each receive bonuses this year, and...
GMAT Two Part Analysis : (TPA) Questions
Two employees of Company X, Winnie and Ali, have been informed that they will each receive bonuses this year, and that, for these bonuses, they will share a total amount of 560,000 KES (Kenyan shillings). Winnie makes a base salary of 4,600,000 KES per annum, and Ali makes a base salary of 3,400,000 KES per annum. Assuming that the two employees receive the same percentage of their respective per annum base salaries as bonuses
indicate below the bonus amount that Winnie will receive and the bonus amount that Ali will receive. Make only two selections, one in each column.
Phase 1: Owning the Dataset
Visual Representation
Let's create a simple table to organize our information:
| Employee | Base Salary (KES) | Bonus % | Bonus Amount (KES) |
| Winnie | 4,600,000 | \(\mathrm{p\%}\) | ? |
| Ali | 3,400,000 | \(\mathrm{p\%}\) | ? |
| Total | 8,000,000 | 560,000 |
Key insight: Both employees receive the same percentage \(\mathrm{(p\%)}\) of their base salaries as bonuses.
Phase 2: Understanding the Question
We need to find:
- Winnie's bonus amount
- Ali's bonus amount
Since they both get the same percentage of their salaries, and the total bonus is 560,000 KES, we can set up an equation:
Winnie's bonus + Ali's bonus = 560,000
\(\mathrm{(4,600,000 \times p\%) + (3,400,000 \times p\%) = 560,000}\)
Phase 3: Finding the Answer
Step 1: Find the percentage
Let's factor out \(\mathrm{p\%}\):
\(\mathrm{p\% \times (4,600,000 + 3,400,000) = 560,000}\)
\(\mathrm{p\% \times 8,000,000 = 560,000}\)
Therefore:
\(\mathrm{p\% = 560,000 ÷ 8,000,000}\)
\(\mathrm{p\% = 0.07 = 7\%}\)
Step 2: Calculate individual bonuses
Winnie's bonus:
\(\mathrm{4,600,000 \times 7\% = 4,600,000 \times 0.07 = 322,000\text{ KES}}\)
Ali's bonus:
\(\mathrm{3,400,000 \times 7\% = 3,400,000 \times 0.07 = 238,000\text{ KES}}\)
Verification
Let's confirm: \(\mathrm{322,000 + 238,000 = 560,000}\) (checkmark)
Phase 4: Solution
Looking at our answer choices: [216,000, 238,000, 256,000, 304,000, 322,000]
Final Answer:
- Winnie: 322,000 KES
- Ali: 238,000 KES