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Business Math

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Old Dec 2, 2002 | 02:20 PM
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My MBA professors would probably take my degree back if they see this post...

Ok, I am in a heated debate with my co-workers about markup. Citing an example:

Company A sells Product Z to Company B for $10/unit. Company A's Presidents decides to increase the price by 10% due to various reasons. What formula would you use to calculate the markup?

$10 multiply by 1.1

OR

$10 divide by 0.9

?????? ??????

My answer is multiply by 1.1

However my co-worker says he divides by 0.9

The difference in this case is only 1%, but if you take 50% then the difference is night and day.

What is your opinion?
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Old Dec 2, 2002 | 02:29 PM
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Mingster,

If you use your co workers formula then you are not increasing by 10%, you are increasing by 11.1%. So, with his you will get a higher number, but the percentage increase will not be correct.
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Old Dec 2, 2002 | 02:31 PM
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Originally posted by mingster
My MBA professors would probably take my degree back if they see this post...

Ok, I am in a heated debate with my co-workers about markup. Citing an example:

Company A sells Product Z to Company B for $10/unit. Company A's Presidents decides to increase the price by 10% due to various reasons. What formula would you use to calculate the markup?

$10 multiply by 1.1

OR

$10 divide by 0.9

?????? ??????

My answer is multiply by 1.1

However my co-worker says he divides by 0.9

The difference in this case is only 1%, but if you take 50% then the difference is night and day.

What is your opinion?

the correct way is no doubt your method.

PriceA * 1.n will always yield the proper increase.

in the case of your friend:

his logic should be PriceA / ( 1/ (1+n) ) which in the case of your example would be:

.909090909_ which is not equal to .9

this example just made him look right, choose a larger increase and you will see his error magified.

I hope this is right, i really didn't proofread it very well

Matt
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Old Dec 2, 2002 | 02:36 PM
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I've always done what your colleague does, divide by 0.9 and when discounting, multiply by 0.9... when dividing by 0.9, you get a higher price! Good for seller, bad for customer...
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Old Dec 2, 2002 | 02:41 PM
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You're correct, Mingster.

The problem about which your co-worker is probably thinking is one like this:

A produce is discounted by 10% and the new price is $10. What was the original price?

To discount by 10% you multiply by (1 - 0.1) = 0.9. To undo that effect and get to the original price, you must divide by 0.9, ondoing your original multiplication.
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Old Dec 2, 2002 | 02:47 PM
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The traditional meaning of 10% markup is "10% of the selling price is markup" so your colleague is correct. If you multiply by 1.1 then you are adding 10% to the wholesale price, but you don't have "10% markup" according to the usual meaning.

I first came across this when a distributor acting as an agent for my company in Japan had a policy of "60% markup". I thought this was reasonable enough (in that market) but my understanding that this meant they increased our price by 60% was not correct. It meant that 60% of the final selling price was markup, an increase of 150% over our price! This, I later learned, is the perfectly normal and widely understood meaning of the word "markup".
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Old Dec 2, 2002 | 02:58 PM
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[QUOTE]Originally posted by naishou
[B]The traditional meaning of 10% markup is "10% of the selling price is markup" so your colleague is correct.
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Old Dec 2, 2002 | 03:03 PM
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You are right of course, but the president may have been thinking "10% markup" and saying something else (loose with his words). Chances are he didn't really understand what he was saying and just applying convention.
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Old Dec 2, 2002 | 03:16 PM
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Thanks for all the information guys!

Just using the example:

1. Company A does not sell retail.
2. "Markup" was not a word used.

The problem is further compounded by the fact that I'm translating the example from Chinese into English.
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