GATE AG 2016 • Q59 MCQ • 1 Mark

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Ratios & Percentages

Question Statement:

($x\%$ of $y$) + ($y\%$ of $x$) is equivalent to ____________.

Options:

  • (A) 2 % of xy
  • (B) 2 % of (xy/100)
  • (C) xy % of 100
  • (D) 100 % of xy

Official Answer Key:

A

Step-by-Step Solution & Explanation

• Step-by-step evaluation: $x\% \text{ of } y = \frac{x \cdot y}{100}$ $y\% \text{ of } x = \frac{y \cdot x}{100}$ • Adding both terms: $\left(\frac{xy}{100}\right) + \left(\frac{xy}{100}\right) = \frac{2xy}{100} = 2\% \text{ of } xy$ • Final Answer: (A) 2 % of xy

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