SOLUTION: when the price of a box of peanuts is increased by 30% its sales decreased by x% such that the revenue decreased by 9%.what is the value of x?

Question 864679: when the price of a box of peanuts is increased by 30% its sales decreased by x% such that the revenue decreased by 9%.what is the value of x?

Answer by josgarithmetic(39626) (Show Source): You can put this solution on YOUR website!
Idea applied is .
Let p = original price
Let q = original count of items sold
x/100 = the fraction of q not sold, compared to q.

Price____________Item Count__________Revenue
p________________q___________________pq
p(1.30)____________________

Revenue decreased by 9% upon the price increase.
Also meaning, new revenue became 91% of original revenue, since 9+91=100.

Divided both members by pq.

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The percent drop in count of items sold was 30.
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