Percentage mix approximation: 134% of 3894 + 38.94% of 134 ≈ ?
Correct Answer: 5270
Introduction / Context:We combine two percentage computations. The first is a large percentage of a large number; the second is a moderate percentage of a small number. Summation followed by rounding to the closest MCQ option is the goal.Given Data / Assumptions:
- Compute: 1.34 * 3894 + 0.3894 * 134.
- Standard rounding to the nearest listed value is acceptable.
Concept / Approach:Convert percentages to multipliers and compute both terms accurately enough to pick the closest integer result from the options.Step-by-Step Solution:
Term 1: 1.34 * 3894 ≈ 5217.96.Term 2: 0.3894 * 134 ≈ 52.18.Total ≈ 5217.96 + 52.18 ≈ 5270.14.Nearest option: 5270.Verification / Alternative check:Even slight rounding on either component leaves the total close to 5270, not near 5000 or 5500 options.Why Other Options Are Wrong:
- 5000 and 5500: Too far from 5270 based on direct computation.
- 5300: Slightly high but still farther than 5270 from the true value.
Common Pitfalls:Misplacing the decimal in percentages (e.g., using 134% as 0.134) or rounding too early. Keep two decimals until the end for a stable approximation.Final Answer:
5270