Percent combination: 35% of 121 + 85% of 230.25 ≈ ?

Difficulty: Easy

Correct Answer: 240

Explanation:


Introduction / Context:
This question combines two percentage calculations and asks for an approximate total. We compute each term to two decimals and then select the closest offered answer.

Given Data / Assumptions:

  • Compute: 0.35 * 121 + 0.85 * 230.25.
  • Round to the nearest integer among the options.


Concept / Approach:
Evaluate each percentage precisely enough to determine the nearest choice; do not average percentages directly, but convert each to actual numbers before summing.

Step-by-Step Solution:

35% of 121 = 0.35 * 121 = 42.35.85% of 230.25 = 0.85 * 230.25 = 195.7125.Total ≈ 42.35 + 195.7125 = 238.0625.Nearest listed option: 240.


Verification / Alternative check:
Rounding each component to two decimals (42.35 and 195.71) still sums near 238.06; the nearest among 225, 230, 240, 245 is 240 by a comfortable margin.

Why Other Options Are Wrong:

  • 225 or 230: Too small compared with the calculated 238.06.
  • 245: Slightly high relative to the total.


Common Pitfalls:
Confusing 35% with 0.35 of 121 versus 35 of 121, or rounding prematurely on intermediate steps causing drift. Compute both terms then round the final total.

Final Answer:

240

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