Question

If X is 400% more than Y, then Y is what percentage of X?
1. 28 percent
2. 18 percent
3. 20 percent
4. 25 percent

Answer 1

Correct Answer - Option 3 : 20 percent

Concept: To determine Y is what per cent of X, divide X by Y and multiply the result by 100, that is,  \(Y \over X\)× 100

Solution:

Given: X is 400% more than Y,

It means, if Y is 100, then X is 400 more than Y, that is, X = 100+400 = 500

According to the question, Y is what per cent of X, we get

 \(Y \over X\)× 100 = \(100\over500\) × 100 = 200

Hence, we conclude that Y is 20% of X.