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 A percentage question
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By: drstevewu (offline)  Tuesday, January 05 2016 @ 09:17 AM CST (Read 979 times)  
drstevewu

Hello everyone, Happy New Year.

Can help me with the following question please.:

In March, John's salary was 90% of Sam. In April, John's salary increased by $520 while Sam's salary increased by $400. If John's salary became 80% of Sam salary, what was John's salary in March?



Thank you for your help.

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By: echeewh (offline)  Tuesday, January 05 2016 @ 11:37 PM CST  
echeewh

Hey <drstevewu>,

Appreciate if you can check one more time on the question itself pls. I have a feeling there is some typo mistake somewhere in the question. Such as "John's salary decreased .. " and so on.

Kindly revert if there are any changes/ updates.

Thank you,
Edward

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By: drstevewu (offline)  Friday, January 08 2016 @ 10:54 AM CST  
drstevewu

Hi Edward,

Sorry for the late reply. You are right. There was an typo error in the question. It should be John's salary decreased by $520. Sorry for the error.



Thank you very much.

Steve

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By: echeewh (offline)  Friday, January 08 2016 @ 03:06 PM CST  
echeewh

Hey <drstevewu>,

Following is my worked solution:

<March>

J : S
90 : 100
9 : 10

<April>

J: - 520
S: + 400

J : S
80 : 100
4 : 5

As both J, S salary changes from Mar to Apr, we can apply <Changed Qtys> concept here; thereby, apply the <Cross Multiply> method.

[(9u - 520) / 4] = [(10u + 400) / 5]
5 × (9u - 520) = 4 × (10u + 400)
45u - 2600 = 40u + 1600
45u - 40u --> 1600 + 2600 = 4200
5u --> 4200
1u --> 840

J (March) = 9u --> 9 × 840 = $7560

Trust this helps.

Do let me know again if this is different from your <anskey> or if there's further clarification.

Cheers,
Edward


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