Compute the percent value: One-third of 1206 is what percent of 134?

Difficulty: Easy

Correct Answer: 300%

Explanation:


Introduction / Context:
This question checks quick percent conversion by ratio. We first evaluate one-third of a given number and then express the result as a percentage of another number.

Given Data / Assumptions:

  • Quantity A = one-third of 1206.
  • Reference quantity B = 134.
  • We need (A/B) * 100%.


Concept / Approach:
Compute A = 1206/3. Then divide A by 134 and convert the resulting ratio to a percentage. If A equals exactly 3 times B, the percentage is 300%.

Step-by-Step Solution:

A = 1206 / 3 = 402.Compute A/B = 402 / 134.Note 134 * 3 = 402 exactly.Therefore (A/B) * 100% = 3 * 100% = 300%.


Verification / Alternative check:
Since 402 is three times 134, the percent of 134 that is 402 is directly 300%, confirming the computation without a calculator.


Why Other Options Are Wrong:

  • 3% and 30%: Off by factors of 100 or 10; they ignore the exact 3x relationship.
  • None of these: Not needed because 300% is a listed option and correct.


Common Pitfalls:
Missing the exact multiple and doing unnecessary decimal division, which can lead to rounding mistakes.


Final Answer:

300%

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