If 50% of (x - y) = 30% of (x + y), then what percent of x is y?

A 25

B 30

C 35

D 40

Solution

Correct Answer: Option A

50% of (x - y) = 30% of (x + y)
বা, 50(x - y)/100 = 30(x + y)/100
বা, 5(x - y) = 3(x + y)
বা, 5x - 5y = 3x + 3y
বা, 5x - 3x = 5y + 3y
বা, 2x = 8y
বা, x/y = 8/2
বা, x = 4y

Percent of x is y = (1/4) × 100%
                        = 25%

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