MHB Calculating Mark-up: Understanding % Increase in Price for Retailers

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To calculate the percentage mark-up for a product costing a retailer $2.20 and sold for $3.19, the mark-up can be determined using two methods. The first method shows a mark-up of 45% when calculated based on the wholesale price, derived from the formula (3.19 - 2.20) / 2.20. Alternatively, when calculated against the retail price, the mark-up is approximately 31.03%, using the formula (3.19 - 2.20) / 3.19. It's important to note that different businesses may adopt varying methods for calculating mark-up based on their reporting needs. Understanding these distinctions is crucial for accurate pricing strategies.
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If a product costs a retailer \$2.20 and it is sold at \$3.19
what is the % mark-up and how does one arrive at that?
thx
 
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tkiesling said:
If a product costs a retailer \$2.20 and it is sold at \$3.19
what is the % mark-up and how does one arrive at that?
thx

$\dfrac{3.19}{2.20} = 1.45$

45% mark up ...
 
tkiesling said:
If a product costs a retailer \$2.20 and it is sold at \$3.19
what is the % mark-up and how does one arrive at that?
thx
Congratulations MarkFL. Your price is going up!

-Dan
 
Equivalently, and the way I would have done it, since the item was bought for \$2.20 and sold for \$3.19 the actual "mark up" is 3.19- 2.20= \$0.99 so the percentage mark up is \frac{0.99}{2.20}= 0.45 so again a 45% mark up.
 
tkiesling said:
If a product costs a retailer \$2.20 and it is sold at \$3.19
what is the % mark-up and how does one arrive at that?
thx

One must ALWAYS remember that there are at least TWO kinds of "Markup". The method used depends on how you think about your business and how you report costs and profits.

3.19 - 2.20 = 0.99 -- This is the Markup.

0.99 / 3.19 = 31.03% Markup when compared to the Retail Price. The theoretical maximum of this sort of markup is 100%. (Well, it's really a "supremum", not a "maximum", but I digress.)

0.99 / 2.20 = 45.00% Markup when compared to the Wholesale Price. There is no theoretical maximum to this sort of markup.

There are other methods. In particular, some business owner may want the first 5¢ of everything, so you have to shave off a nickle before calculating the "Markup" for the purpose of the business enterprise. Really, it's anything you can think of and calculate consistently.
 
Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...

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