What is the discount on the 14 pizza at my favorite pizza store?

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The discussion revolves around calculating the percentage discount on a large 14" pizza priced at $11 compared to an 8" pizza priced at $3.99. The area of the pizzas is considered to determine their value. The small pizza's area is proportional to 8², while the large pizza's area is proportional to 14². Based on the area ratio, the large pizza should cost approximately $12.20 if priced according to its size. The discount is calculated as follows: the difference between the expected price ($12.20) and the actual price ($11) results in a discount of about 10%. This calculation confirms that the store's claim of a great deal is accurate, as the discount is approximately 10%.
powergirl
The 8" pizza sells for $ 3.99 at my favorite pizza store. The store claims they have a great deal on the large 14" pizza, which is specially priced at $ 11. What is the per cent discount the store is offering?​
:bugeye:
 
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Edited:: 75% off.
 
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edit: Blah
 
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Well I guess she logged off, but that was interesting.
 
Not correct...
 
About 9.98% off.
 
10% off give or take
 
10%

Kurdt said:
10% off give or take

CORRECT!
Here goes the
Solution:

The small pizza has a diameter of 8" and therefore an area proportional to 82.

The large pizza has a diameter of 14" and therefore an area proportional to 142.

If the pizzas are priced in accordance with their areas, then

Price of large pizza / Price of small pizza = (14 / 8)2 = 3.06 or

Price of large pizza = 3.06 x 3.99 = 12.2.

Thus, Discount on large pizza = [1 - (11 / 12.2)] x 100 = 10 %.
 
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