SOLUTION: If second number is 20% greater than first number, then by how much percent second number is less than first number?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: If second number is 20% greater than first number, then by how much percent second number is less than first number?      Log On


   

Question 1062413: If second number is 20% greater than first number, then by how much percent second number is less than first number?
Found 2 solutions by ikleyn, KMST:
Answer by ikleyn(52802) About Me  (Show Source):
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Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The second number, n%5B2%5D , is
%22100%25%22%2B%2220%25%22=%22120%25%22=120%2F100=6%2F5=1.2 times the first number, n%5B1%5D%7D%7D+.%0D%0ASo%2C+%7B%7B%7Bn%5B2%5D=1.2%2An%5B1%5D=%285%2F6%29%2An%5B1%5D
n%5B1%5D=n%5B2%5D%2F1.2=n%5B2%5D%2F%28%286%2F5%29%29=%285%2F6%29%2An%5B2%5D
That tells you that n%5B1%5D is less than n%5B2%5D by a difference of
n%5B2%5D-n%5B1%5D=%281%2F6%29n%5B2%5D=%22about0.1667%22%2An%5B2%5D .
As a fraction or percentage of n%5B2%5D ,
the first number, n%5B1%5D , is less than the second number, n%5B2%5D , by
1%2F6=%28%281%2F6%29%29%2F100=100%2F6%22%25%22=16%262%2F3%22%25%22 .
If you want the percentage as a decimal,
you will have to be content with an approximate number.
0.1667=16.67%2F100=%2216.67%25%22 .