How to Use Growth Factors in Calculations

You use growth factor in the formula below, and solve the calculation or equation that appears. When using the formula, you always insert x for the value you want to find.

Formula

Calculation of new value, old value and growth factor

New value = old value growth factor

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Example 1

The price of a car decreases by 5 %. What will the price be after the decrease if the price of the car is $20000?

Here the old price is $20000, new value = x, and the growth factor is as follows:

(1 5 100) = 1 0.05 = 0.95

The new price will be

new value = old value growth factor x = $20000 0.95 = $19000

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Example 2

iPhone 13 costs $799 and is increased by 15 % from iPhone 12. What did the iPhone 12 cost?

Here is old price = x, new value $799, and the growth factor becomes

(1 + 15 100) = 1 + 0.15 = 1.15

The old price was thus:

new value = old value growth factor 799 = x 1.15 799 1.15 = x 1.15 1.15 x 694.78

So, an iPhone 12 costs $694.78.

Example 3

An item originally costed $599. The price was reduced to $349, and the store says that the item is lowered by 45 %. Is it true?

To find p, you must first find the growth factor. You do this by using the formula above.

Let’s call the growth factor gf to save some space.

new value = old value gf 349 = 599 gf| : 599 gf = 349 599 0.583

new value = old value growth factor 349 = 599 growth factor| : 599 growth factor = 349 599 0.583

Since the value of the growth factor is less than 1, you get confirmed that it is a drop in price. Then you use the formula for growth factor, with minus, to find p in percentage:

0.583 = 1 p 100 p 100 = 1 0.583 p 100 = 0.417| 100 p = 41.7

The price has only been reduced by 41.7 %. You could have been tricked!

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