If (x + 10)% of 200 is $33\frac{1}{3}$% more than x% of 180, then 10% of (x + 20) is what percent less than 40% of x?
Answer & explanation
Correct answer: option 4
( x + 10)% of 200 = \(\frac{4}{3}\) × x% of 180
( x + 10) × 5 = 6x
x = 50
Now , 10% of (x+20)
= \(\frac{1}{10}\) × 70 = 7
And , 40% of x
= \(\frac{2}{5}\) × 50 = 20
7 is less than 20 by percentage = \(\frac{20-7}{20}\) × 100 = 65%