Sak32 wrote:If m>0 and x is m percent of y, then, in terms of m, y is what percent of x?
The answer is 10000/m.
How did we obtain this answer?
181) If m > 0 and x is m percent of y, then, in terms of m, y is what percent of x?
A. 100m
B. 1/100m
C. 1/m
D. 10/m
E. 10000/m
Solution:
We are given that x is m percent of y. We can express this as:
x = (m/100)y
Note that in the step above, the division of m by 100 has changed m from a percent to a decimal.
x = my/100
We are next asked, in terms of m, y is what percent of x? This can be expressed as:
(y/x) (100) = ?
We need to manipulate our first equation until we isolate y/x.
x = my/100
Multiplying the entire equation by 100 we have:
100x = my
Then divide both sides by x:
100 = my/x
Then divide both sides by m:
100/m = y/x
The final step is to multiply both sides of the equation by 100. We must do this to convert the decimal represented by y/x into a percent.
(100/m) (100) = (y/x) (100)
10,000/m = (y/x) (100)
Answer:
E
