Percent of an integer (near-thousand choice): Compute 121% of 5103 and pick the closest rounded option.
Correct Answer: 6000
Introduction / Context:121% equals 1.21 as a multiplier. Multiply 5103 by 1.21 to get a value slightly above 6000. The options are coarse (thousands), so select the nearest thousand-level figure to the computed result.
Given Data / Assumptions:
- N = 5103
- Percent = 121% = 1.21
Concept / Approach:Decompose 1.21 into 1 + 0.21. Compute 0.21 * 5103 ≈ 1071.63, then add to 5103. Alternatively, compute 121/100 * 5103 directly and compare with choices.
Step-by-Step Solution:
1.21 * 5103 ≈ 5103 + (0.21 * 5103)0.21 * 5103 ≈ 1071.63Sum ≈ 6174.63Nearest option among thousands is 6000Verification / Alternative check:Among the coarse choices (4000, 6000, 8000, 10000), 6175 is only 175 away from 6000 but 1825 from 8000, so 6000 is the best approximation.
Why Other Options Are Wrong:
- 8000, 10000: far too high.
- 4000: far too low.
- 7000: closer than 8000 but still 825 away, worse than 6000.
Common Pitfalls:Confusing 121% (1.21) with 0.121, which would reduce the value instead of increasing it.
Final Answer:6000