Percent of an integer (near-thousand choice): Compute 121% of 5103 and pick the closest rounded option.

Difficulty: Easy

Correct Answer: 6000

Explanation:


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 6000


Verification / 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

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