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 statement into an equation between A and B; dividing it by B gives the ratio.

• \(\displaystyle\frac{60}{100}A=\frac{75}{100}B\), so \(60A=75B\)

• \(\displaystyle\frac{A}{B}=\frac{75}{60}=\frac{5}{4}\), so A : B = 5 : 4

Tip: When a% of A equals b% of B, the ratio A : B is b : a, the percentages the other way round: here 75 : 60 = 5 : 4.