Equality of percentage expressions: Choose the expression that is numerically equal to 32% of 750.

Difficulty: Easy

Correct Answer: 75% of 320

Explanation:


Introduction / Context:
This item checks mental percentage fluency by asking you to match 32% of 750 to an equivalent expression from a list, without direct computation for every option. Recognizing common multiples and factors is helpful.

Given Data / Assumptions:

  • Target value: 32% of 750.
  • Four candidate equivalences involving percents of other bases.


Concept / Approach:
Compute the target value, then compare quickly to each option. For speed, notice that 75% of 320 is exactly 3/4 of 320 = 240, which is also 0.32 * 750.


Step-by-Step Solution:

32% of 750 = 0.32 * 750 = 240.Test options:23% of 600 = 0.23 * 600 = 138 (not equal).46% of 207 ≈ 95.22 (not equal).98% of 250 = 245 (close but not equal).75% of 320 = 0.75 * 320 = 240 (equal).


Verification / Alternative check:
Note 750 * 0.32 = (3/10 of 750) + (2/100 of 750) = 225 + 15 = 240, reinforcing the calculation.


Why Other Options Are Wrong:

  • The other percentages compute to values different from 240 upon quick evaluation.


Common Pitfalls:
Rounding 98% of 250 incorrectly to 240; it is 245. Always compute precisely.


Final Answer:

75% of 320

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