If 10% of X is equal to 40% of Y, then the ratio between X and Y is:

The correct answer is Option (4) → 4:1

Writing both percentages as fractions turns the given statement into an equation; dividing it by Y gives the ratio X : Y. A smaller percentage of X equals a larger percentage of Y, so X must be the bigger number.

• 10% of X equals 40% of Y: \(0.1X=0.4Y\)

• The ratio: \(\displaystyle\frac{X}{Y}=\frac{0.4}{0.1}=\frac{4}{1}\)

• So X is four times Y: \(X:Y=\) 4:1