percentage increase

• February 24th 2009, 09:24 AM
technics
percentage increase

i'm trying to calculate the percentage increase between 15000 and 16000; the answer i get is 6.25%, but when i try and increase 15000 by 6.25% I get 15937.5 ??? where am i going wrong?? furthermore if i try and decrease 16000 by 6.25% i get 1000 viz 15000!!??!

can someone please explain why a 6.25% increase on 15000 isnt 16000 and if it isnt what is the correct percentage increase??

sorry if i sound thick.. its been a long day.

thanks
• February 24th 2009, 09:46 AM
janvdl
Quote:

Originally Posted by technics

i'm trying to calculate the percentage increase between 15000 and 16000; the answer i get is 6.25%, but when i try and increase 15000 by 6.25% I get 15937.5 ??? where am i going wrong?? furthermore if i try and decrease 16000 by 6.25% i get 1000 viz 15000!!??!

can someone please explain why a 6.25% increase on 15000 isnt 16000 and if it isnt what is the correct percentage increase??

sorry if i sound thick.. its been a long day.

thanks

$\frac{16000 - 15000}{15 000} = 6,6666667 \ percent$
• February 24th 2009, 09:47 AM
Reckoner
Quote:

Originally Posted by technics

i'm trying to calculate the percentage increase between 15000 and 16000; the answer i get is 6.25%, but when i try and increase 15000 by 6.25% I get 15937.5 ??? where am i going wrong?? furthermore if i try and decrease 16000 by 6.25% i get 1000 viz 15000!!??!

can someone please explain why a 6.25% increase on 15000 isnt 16000 and if it isnt what is the correct percentage increase??

sorry if i sound thick.. its been a long day.

thanks

$\frac{16000-15000}{15000}=\frac{1000}{15000}=\frac1{15}=0.0\ov erline6$

This is an increase of about $6.67\%\text.$
• February 24th 2009, 09:49 AM
masters
Quote:

Originally Posted by technics

i'm trying to calculate the percentage increase between 15000 and 16000; the answer i get is 6.25%, but when i try and increase 15000 by 6.25% I get 15937.5 ??? where am i going wrong?? furthermore if i try and decrease 16000 by 6.25% i get 1000 viz 15000!!??!

can someone please explain why a 6.25% increase on 15000 isnt 16000 and if it isnt what is the correct percentage increase??

sorry if i sound thick.. its been a long day.

thanks

Hi technics,

To calculate the percentage of increase from 15,000 to 16,000, first subtract to find the amount of increase.

16000 - 15000 = 1000

Next, make that amout a fraction of the original amount and convert to a percent:

$\frac{1000}{15000}=\frac{1}{15}=6\frac{2}{3}$%.

Check:

$15000+\frac{1}{15}(15000)=16000$

Edit: I'm a bit slow today, but I'll leave my explanation.
• February 25th 2009, 05:31 AM
technics
Thanks guys, i've got it basically the percentage increase between 15000 and 16000 is 6.67~

I understand where i was going wrong now as well, i was basically dividing it by 16000 afterwards instead of 15000 which was the original!! how stupid of me :P