If 15% of (2x + 3y) = 25% of (4x - 3y), then what is x : y?

The correct answer is Option (3) → 12 : 7

Write both percentages as fractions and clear them; then collect the x terms on one side and the y terms on the other, so that the ratio x : y comes out without finding x or y themselves.

• Dividing both sides by \(\frac{5}{100}\): \(3(2x+3y)=5(4x-3y)\)

• \(6x+9y=20x-15y\), so \(24y=14x\)

• Ratio of x to y: \(\frac{x}{y}=\frac{24}{14}=\frac{12}{7}\), so x : y = 12 : 7