Two-part percentage sum: 22.5% of 1350 + 135% of 225 ≈ ?

Difficulty: Easy

Correct Answer: 610

Explanation:


Introduction / Context:
We combine a fractional percentage (22.5%) of a large number with a more-than-100% percentage (135%) of a medium number. Compute both exactly and then select the closest option.

Given Data / Assumptions:

  • 22.5% = 0.225 as a multiplier.
  • 135% = 1.35 as a multiplier.


Concept / Approach:
Compute each product precisely, sum, and round to the nearest listed value if necessary.

Step-by-Step Solution:

22.5% of 1350 = 0.225 * 1350 = 303.75.135% of 225 = 1.35 * 225 = 303.75.Total = 303.75 + 303.75 = 607.5.Nearest option: 610.


Verification / Alternative check:
The numbers are symmetric in this case, each contributing 303.75; together they give 607.5, clearly closest to 610 among the choices.

Why Other Options Are Wrong:

  • 570 or 630: Off by roughly 37.5 or 22.5 respectively.
  • 670: Far too high.


Common Pitfalls:
Treating 22.5% as 22.5 (not 0.225) or mixing percentage bases. Always convert to multipliers before multiplying.

Final Answer:

610

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion