If x% of 190 is 15 less than (x+10)% of 180, then (x+30)% of 90 is what per cent more than x% of 150?

1. Find the value of x:
100
x
​
×190=
100
x+10
​
×180−15
Multiply the entire equation by 100 to clear the denominators:

190x=180(x+10)−1500
190x=180x+1800−1500
10x=300⟹x=30
Evaluate the two required terms:

First Term: (x+30)% of 90=(30+30)% of 90=60% of 90=54

Second Term: x% of 150=30% of 150=45

Calculate the percentage difference:

Required Percentage=
45
54−45
​
×100=
45
9
​
×100=
5
1
​
×100=20%