If 15% of (2x + 3y) = 25% of (4x - 3y), then what is x : y?
Answer & explanation
Correct answer: option 3
15% of (2x + 3y) = 25% of (4x - 3y)
\(\frac{15}{100}\) × (2x + 3y) = \(\frac{25}{100}\) × (4x - 3y)
\(\frac{3}{20}\) × (2x + 3y) = \(\frac{1}{4}\) × (4x - 3y)
\(\frac{3}{5}\) × (2x + 3y) = (4x - 3y)
6x + 9y = 20x - 15y
14x = 24y
x : y = 12 : 7
The correct answer is Option (3) → 12 : 7