If 25% of (X + Y) = 50% of (X - Y), then Y is what percentage of X? Option 1: 25% Option 2: 33.33% Option 3: 50% Option 4: 66.66%

Answer: 33.33%. Solution: 0.25(X+Y) = 0.5(X-Y) Dividing by 0.25: X + Y = 2X - 2Y, so 3Y = X. Therefore Y/X = 1/3 = 33.33 percent.

Arithmetic

Percentages

Easy

If 25% of (X + Y) = 50% of (X - Y) , then Y is what percentage of X?

25%

33.33%

50%

66.66%

✅ Correct Option: 2

$0.25(X+Y) = 0.5(X-Y)$

Dividing by 0.25: $X + Y = 2X - 2Y$ , so $3Y = X$ .

Therefore $\dfrac{Y}{X} = \dfrac{1}{3} = 33.33$ percent.

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