If 60% of A = 75% of B, then A : B is

The correct answer is Option (2) → 5 : 4

Writing each percentage as a fraction turns the condition into an equation between A and B, and dividing it by B gives the ratio. The larger percentage goes with the smaller number, so A is the larger of the two.

• The condition as an equation: \(\displaystyle\frac{60}{100}A=\frac{75}{100}B\), so \(60A=75B\)

• Ratio of A to B: \(\displaystyle\frac{A}{B}=\frac{75}{60}=\frac{5}{4}\)

• A : B = 5 : 4