SOLUTION: In a certain city, the number of commuters decreased 15 percent from June to July and decreased 10 percent from July to August. By approximately what per cent would the number of c

Question 1208794: In a certain city, the number of commuters decreased 15 percent from June to July and decreased 10 percent from July to August. By approximately what per cent would the number of commuters have to increase from August to September for the number of commuters in September to be equal to the number of commuters in June?
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.


Let x be the desired percent in decimal form.


Then your equation is

    (1-0.15)*(1-0.1)*(1+x) = 1.


It is quite obvious, WHY this equation should be in this form,
so I will not explain it to you for not to be boring :)


Simplify this equation and find x


    0.85*0.9*(1+x) = 1,

    1 + x =  = 1.30719  (rounded).


So, the ANSWER  is  x = 1.30719 - 1 = 0.30719,  or  30.719%.

Solved.

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