SOLUTION: If increasing 20 by P percent yields the same result as decreasing 60 by P percent, then what is P percent of 70?

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Question 1089004: If increasing 20 by P percent yields the same result as decreasing 60 by P percent, then what is P percent of 70?
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52878)   (Show Source): You can put this solution on YOUR website!
.
We need to find P from the equation

20*(1+P) = 60*(1-P),

20 + 20P = 60- 60P,

20P + 60P = 60 - 20,

80P = 40  =====>  P= 0.5, or 50%.


Next, 50% percents of 70 is 35.


Answer. P = 50%,  and  50% percents of  70  is  35.


Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

increasing by percent:%
decreasing by percent:%
yields the same result:
%=%
%=
=>%=
=>
=>
=>
So, % of is:
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