Question about Texas Instruments TI-30 XIIS Calculator

# If 4% of 100 is 104, then how many % of 104 to get back 100

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• Texas Instru... Master

Hello,

Sorry to say it but you are mistaken: 4% of 100 = 4.
To get 104, you are adding the 4% of 100 to 100%
100x(1+4%)=100x(1+0,04)=100x1,04=104.
Your question is really what percent of 104 must I subtract (like a rebate) from 104 to obtain 100.
Translated into an equation where the unknown (call it p) is the percent you have to subtract
100=104x(1.-p/100) =104 -px104/100=104-1.04xp
I am showing you all the steps even if they seem elementary.

In summary
100=104-1.04xp (make 100 switch sides witha switch of sign)
0= 104-100-1.04xp (make 1.04xp swich sides with switch of sign)
1.04xp = 104-100=4.

Thus p= 4/1.04=3.846

If a client pay 100\$ instead of 104\$, customer benefited of a rebate of 4\$, which represents a mere 3.846% of the original price. (Not quite 4%)

Hope it helps

Posted on Sep 09, 2009

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Posted on Jan 02, 2017

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