If A's salary is 25% higher than B's,how much percent is B's salary lower than A's?

If A's salary is 25% higher than B's salary, how much percent is B's salary lower than A's?
Options: (1) 15%, (2) 20%, (3) 29%, (4) 331/3%

Answer:
Let B = 100k.
A = B*1.25 = 125k.
To find % lower, use (A-B)/A
(125k-100k)/125k = 25k/125k or 1/5.
1/5 equals 20%
if a = 1.25b

then

B= A/1.25
25% = 1/4

a = b + 1/4b

a = b(5/4)

b = 4/5 a

to change in percent

b = 100 - (4/5 * 100) a

b = 20 % lower than A
It is indeed (2) 20%. Now do your own homework!

If y=1.25x (y is 25% higher than X)
Then (1.25x-x)/1.25x = 0.25/1.25 = 0.2 or 20%
(2) 20% is the ans
25/125 = 20% lower

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