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If 25% of half of x is equal to 2.5 times the value of 30% of one fourth of y, then x is what percent more or less than y?

A. 50% more

B. $$33\frac{1}{3}\% $$  less

C. $$33\frac{1}{3}\% $$  more

D. 50% less

Answer: Option A

Solution(By Examveda Team)

$$\eqalign{ & y \times \frac{1}{4} \times \frac{{30}}{{100}} \times 2.5 = x \times \frac{1}{4} \times \frac{1}{2} \cr & \frac{x}{y} = \frac{3}{2} \cr & x:y = \underbrace {3\,:\,2}_{ + 1} \cr & \% = \frac{1}{2} \times 100 = 50\% \cr} $$

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