if a number is 20% more than the other, how much percent is the second number less than the first?

Question

options a.37/3% b.50/3% c.49/3% d.none

Answer 1

A = 1.20B

 

B = A/1.20

 

[(B - A)/A] x 100 = [( A/1.20 - A)/A] x 100 = [(1/1.20 - 1)] x 100 = -16.666...%

 

B is 16.666...% lower  than A (same result as in Arthur's solution)

 

The correct answer from the given list is: (d) none of the above

Answer 2

x to 1.2x means 20% more

1.2x-x=0.2x

0.2x/x=2x/10x=20x/100x=20/100=20%

1.2x to x

1.2x-x=0.2x

0.2x/1.2x=2x/12x=x/6x=1/6=0.16666...=16.666...% or 16 2/3% less