Responding to a pm:
The output of a factory was increased by 10% to keep up with rising demand. To handle the holiday rush, this new output was increased by 20%. By approximately what percent would the output now have to be decreased in order to restore the original output?
The original output increases by 10% and then 20%.
Holiday output = Old output * (11/10) *(6/5) = Old output * (33/25)
Now if you want to go back to the old output, you need to multiply the Holiday output by (25/33) i.e. reduce it by 8/33 which is approximately 24% (note that 8/33 = 24/99 i.e. approx 24%)
Holiday output * (25/33) = Old output * (33/25) * (25/33) = Old output
Or, use the formula.
Total % change = a + b + ab/100
Total % change = 10 + 20 + 10*20/100 = 32%
Now, you want to change it to 0, so,
0 = 32 + x + 32x/100
x = -32(100)/132 = 24% approximately
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