BTGModeratorVI wrote: ↑Tue Feb 18, 2020 10:55 am
If 45% of z is 120% of y and y is 75% of x, what percent of x is z?
A. 200
B. 160
C. 100
D. 65
E. 50
Source: Princeton Review
Answer:
A
Another approach is to
find values that satisfy the given information.
y is 75% of x
So it could it be the case
x = 400 and
y = 300
45% of z is (equals) 120% of y
120% of y = (1.2)(
300) = 360
So, 45% of z = 360
In other words, 0.45z = 360
Divide both sides by 0.45 to get:
z = 800
What percent of x is z?
In other words: What percent of
400 is
800?
Another way to phrase this is:
800 is what percent of
400?
Since
800 is TWICE
400, we can also conclude that
800 is
200 percent of
400
Answer: A
Cheers,
Brent
