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16 Jul 2018, 10:39
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I often get confused when a word problem includes the words "x percent" as a variable and often the question asks to express the answer in terms of x.
Am I suppose to assume that x is an integer such as 50 as opposed to 50% or 0.50? E.g. If it's 50 percent, then x is 50. When I work the problem, should I use x/100 in place of "x percent" or use 0.x?
Also when do we need to multiple the answer by 100 at the end to express it as a percent?
Am I suppose to assume that x is an integer such as 50 as opposed to 50% or 0.50? E.g. If it's 50 percent, then x is 50. When I work the problem, should I use x/100 in place of "x percent" or use 0.x?
Also when do we need to multiple the answer by 100 at the end to express it as a percent?
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Updated on: 15 Jul 2020, 11:15
Originally posted by BrushMyQuant on 16 Jul 2018, 20:10.
Last edited by BrushMyQuant on 15 Jul 2020, 11:15, edited 1 time in total.
Last edited by BrushMyQuant on 15 Jul 2020, 11:15, edited 1 time in total.
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As a rule of thumb, start using x percentage (or any percentage) as x/100 and then you will not see any problem.
When the question is asking you about percentage increase then you need to do ((increase)/Initial value) * 100
When the question is asking you about percentage decrease then you need to do ((decrease)/Initial value) * 100
Example:
1. 50% of a is b
lets break down each and every word
50% -> 50/100
of -> *
a -> a
is -> =
b -> b
so, in total we have
(50/100) * a = b
2. x% of y is z
lets break down each and every word
x% -> x/100
of -> *
y -> y
is -> =
z -> z
so, in total we have
(x/100) * y = z
3. x is what percent greater than y
Let's take x is t% greater than y
lets break down each and every word
x% -> x/100
is -> =
t% greater than-> (1 + (t/100))
y -> y
so, in total we have
x = (1 + (t/100)) * y
Simplifying
x/y = 1 + (t/100)
(t/100) = 1 - x/y
t = (y-x)*100/y
Hope it helps!
When the question is asking you about percentage increase then you need to do ((increase)/Initial value) * 100
When the question is asking you about percentage decrease then you need to do ((decrease)/Initial value) * 100
Example:
1. 50% of a is b
lets break down each and every word
50% -> 50/100
of -> *
a -> a
is -> =
b -> b
so, in total we have
(50/100) * a = b
2. x% of y is z
lets break down each and every word
x% -> x/100
of -> *
y -> y
is -> =
z -> z
so, in total we have
(x/100) * y = z
3. x is what percent greater than y
Let's take x is t% greater than y
lets break down each and every word
x% -> x/100
is -> =
t% greater than-> (1 + (t/100))
y -> y
so, in total we have
x = (1 + (t/100)) * y
Simplifying
x/y = 1 + (t/100)
(t/100) = 1 - x/y
t = (y-x)*100/y
Hope it helps!
16 Jul 2018, 22:06
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Very helpful! Thanks for breaking it down.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
