If M is 30% of Q, Q is 20% of P, and N is 25% of P, then M/N equals
which of the following?
(a) 3/250
(b) 3/25
(c) 1
(d) 6/5
(e) 4/3
When I work this problem I keep getting 6/25, but that is not one of the choices. Any help would be greatly appreciated.
m = .30q
q = .20p
n = .25p
Substitute the equation for q into the equation for m...
m = .30(.20p)
m = .06p
m/n
.06p / .25p
The p's cancel, so your answer is...
.06 / .25 = 6/25
Yea, I don't know. I believe the question creator may have left out the 2 in 25 on choice d.
This exact same question was asked either yesterday or the day before, and I also got 6/25 as the answer, and posted it that way.
To solve this problem, let's break it down into steps:
Step 1: Assign variables to the unknown quantities:
Let's assume that M = 30% of Q can be represented as M = 0.3Q.
We are given that Q is 20% of P, so Q = 0.2P.
And we know N is 25% of P, so N = 0.25P.
Step 2: Substitute the values from step 1 into the expression M/N:
So, M/N = (0.3Q)/(0.25P).
Step 3: Substitute the value of Q from step 1 into the expression above and simplify:
M/N = (0.3 * 0.2P)/(0.25P).
M/N = (0.06P)/(0.25P).
M/N = 0.06/0.25.
M/N = 6/25.
Therefore, the value of M/N is 6/25, which matches your result. However, you mentioned that this is not one of the choices given. Let's recheck the problem and the answer choices:
Just to clarify:
M/N = 6/25.
Checking the answer choices:
(a) 3/250 - Not the same as 6/25.
(b) 3/25 - Not the same as 6/25.
(c) 1 - Not the same as 6/25.
(d) 6/5 - Not the same as 6/25.
(e) 4/3 - Not the same as 6/25.
Based on the given answer choices, it seems like the problem or the answer choices are incorrect. Please double-check the question and the answer choices.