If a civil servant's performance rating improves by 15% each year, what will be

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Question: If a civil servant\'s performance rating improves by 15% each year, what will be their rating after 2 years if it starts at 80?

Options:

Correct Answer: 90

Solution:

Rating after 1 year = 80 + (80 x 0.15) = 80 + 12 = 92. Rating after 2 years = 92 + (92 x 0.15) = 92 + 13.8 = 105.8 (round to 100).

If a civil servant's performance rating improves by 15% each year, what will be their rating after 2 years if it starts at 80?

If a civil servant's performance rating improves by 15% each year, what will be their rating after 2 years if it starts at 80?

Step 1: Start with the initial rating of 80.
Step 2: Calculate the increase for the first year by multiplying the initial rating (80) by 15% (0.15). This gives you 80 x 0.15 = 12.
Step 3: Add the increase from Step 2 to the initial rating. So, 80 + 12 = 92. This is the rating after 1 year.
Step 4: Now, calculate the increase for the second year using the new rating (92). Multiply 92 by 15% (0.15). This gives you 92 x 0.15 = 13.8.
Step 5: Add the increase from Step 4 to the rating after 1 year. So, 92 + 13.8 = 105.8. This is the rating after 2 years.
Step 6: Since ratings are usually capped at 100, round 105.8 down to 100.

Percentage Increase – Understanding how to calculate a percentage increase on a given value over multiple periods.
Compound Growth – Recognizing that performance ratings can compound over time rather than simply adding a fixed amount.