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Equivalent Percentage Expressions

CMAT 2023 · Quantitative Techniques & Data Interpretation · Easy · Percentages

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If x>0x > 0, then which of the following expressions are equal to 3.6%3.6\% of 5x12\frac{5x}{12}?

A. 3 percent of 20x3\text{ percent of } 20x B. x percent of 32x\text{ percent of } \frac{3}{2} C. 3x percent of 0.23x\text{ percent of } 0.2 D. 0.05 percent of 3x0.05\text{ percent of } 3x E. 3x200\frac{3x}{200}

Choose the correct answer from the options given below:

  1. A.

    A and B only

  2. B.

    A and E only

  3. C.

    C and D only

  4. D.

    B and E only

Answer

D

Explanation

Target value = 3.6100×5x12=18x1200=3x200\frac{3.6}{100} \times \frac{5x}{12} = \frac{18x}{1200} = \frac{3x}{200}.

Checking options: B. x%x\% of 32=x100×32=3x200\frac{3}{2} = \frac{x}{100} \times \frac{3}{2} = \frac{3x}{200} (Matches) E. 3x200\frac{3x}{200} (Matches)

Thus, B and E are equal to the given expression.

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