Math and percentages

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Sorry but stuck on stupid on this one.

If I have a random number – let’s say 545 and I reduce it by 20%. It’s reduced by 109 making it 436.

But if I want to increase it back to 545 I have to add 25%

Edit: Ahhhh Thank you all for this! Makes perfect sense now!

In: Mathematics

11 Answers

Anonymous 0 Comments

reduced by 20% means multiply by 0.8

increase by 20% means multiply by 1.2

0.8 * 1.2 does not equal 1, so reduce by 20% then increase by 20% does not get you back to the original number

but 0.8 * 1.25 (so i crease by 25%) is equal to 1, so you do get the original back

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