Finding percentage which is less

Question

The number that is 50% greater than $60$ is what percentage less than the number that is 20% less than $150$ ?

My try :

I considered a number is 50% of $130$ which is greater than the $60$ and 20% of $700$ which is less than the $150$ .

But my answer is wrong.

Answer 1

The number that is 50% greater than 60 is 90. The number that is 20% less than 150 is 120. So you are asked, what percentage less than 120 is 90? so we solve 90=120x and we get x=75%. Thus 90 is 75% of 120, which is 25% less than 120. Thus the answer must be 25%