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What if instead you assumed Tim's income is 100...aatech wrote:Assuming Tim's income is 40 PERCENT less than Juan's
Suppose Juan income is 100
Tim's income = 60
Mary's income = 60 + (60*60/100) = 96
Mary's income is 96% of Juan's
Do confirm if my assumption is right
Where you made your mistake is with Juan = 140. When Tim is 40% less than Juan, that does not mean that Juan = 140% of Tim.What if instead you assumed Tim's income is 100...
Tim's income = 100
Mary's income = 160
Juan = 140
Juan is then 12.5% less then Mary's income.
I know this approach is wrong because it does not lead to the OA but can you please explain where I made my mistake?
If t = 100 and j = Juan's income, let's translate into math the statement Tim's income is 40% less than Juan's income:HPengineer wrote:I also tried to solve this using following values but could not find the correct answer. Can some one please explain what is the correct value of juan's income of Tim is 100?
Tim's income = 100
Mary's income = 160
Juan = 140
I thought I would share my work on this problem with others who might run into the same issues. I kept getting answer choice E until I worked through what I was doing wrong. Knowing how to translate this question correctly is key to arriving at the right answer. A proper translation of the question also provides insight into what variables you should plug in for.HPengineer wrote:I also tried to solve this using following values but could not find the correct answer. Can some one please explain what is the correct value of juan's income of Tim is 100?
Tim's income = 100
Mary's income = 160
Juan = 140
Poisson wrote:I thought I would share my work on this problem with others who might run into the same issues. I kept getting answer choice E until I worked through what I was doing wrong. Knowing how to translate this question correctly is key to arriving at the right answer. A proper translation of the question also provides insight into what variables you should plug in for.HPengineer wrote:I also tried to solve this using following values but could not find the correct answer. Can some one please explain what is the correct value of juan's income of Tim is 100?
Tim's income = 100
Mary's income = 160
Juan = 140
Previously, I've been told to start with the common element, which is why I initially picked Tim = 100. You can use T = 100 and still arrive at the answer, but it takes longer and may be prone to error.
Let's work on translating the sentences:
"Mary's income is 60% more than Tim's income"
This means M = 1.6T. If the question says X is 60 percent more than Y, then X = 1Y + 0.6Y = 1.6Y
If the question would have said X is 60 percent LESS THAN Y, then X = 1Y - 0.6Y = X = 0.4Y
What's key here is not to confuse LESS THAN with PERCENT OF.
60 percent of Y = (60/100)(Y) which reduces to (3/5)(Y)or simply use (0.6)(Y)
60 percent less than Y = 0.4Y
Next the question states
"Tim's income is 40 less than Juan's income."
Again, this means T = 1J - 0.4J = 0.6J
Finally, it asks "What percent of Juans income is Mary's income?"
Here's a formation that can be used: What percent of A is B?
This means ("Is B" / "Percent of A") x 100
Using this formation: "Is Mary's Income" / "Percent of Juan's Income" or M/J = ?
Although Tim is the common element, you're solving for M/J, and plugging in 100 for J will make the math easier and save you some time.
Let's just say T=100
Then M = 160
Next, T = J - 0.4J. Plug in your values: 100 = J - 0.4J. 100 = 0.6J. Divide both sides by 0.6. Move the decimals to the right to get 1000/6 = J.
The target question is M/J = 160/(1000/6) = (160*6)/1000 = (16*6)/100 = 96%
That's not terrible, but this could've been much easier if J= 100.
J = 100
T = 60
M = (0.6*60) + 60 = 36+60 = 96
That's it. M=96%
Finally, here's the wrong way to translate the sentences:
"Tims income is 40 less than Juans income."
If T = 100, the translation IS NOT 100 = 0.4J. That is 40 PERCENT OF Juan, NOT 40 percent LESS THAN Juan
Remember, when the question asks for LESS THAN, you are subtracting that percentage from a base of 1 (Ex. x is 2 percent less than y = x = 1y - 0.2y = 0.98y)
When the question asks for PERCENT OF, then you are multiplying values: 30% of 70 = (0.3)(70) = 21
I hope this helps!
To solve this problem we create variables for the income of Mary, Tim, and Juan, and then set up some equations.ssraf wrote:Marys income is 60% more than Tims income, and Tims income is 40 less than Juans income. What percent of Juans income is Mary's income?
a) 124
b)120
c)96
d)80
e)64
I suggest that we choose some nice values that meet the given conditions.Mary's income is 60 percent more than Tim's income, and Tim's income is 40 percent less than Juan's income. What percent of Juan's income is Mary's income?
A) 124%
B) 120%
C) 96%
D) 80%
E) 64%
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