During a sale, the price per pound of raisins was decreased by 40 percent. Simon decides to increase the weight of raisins that he buys so that he spends the same amount on raisins that he would have spent on raisins before the sale. By approximately what percent does Simon increase the weight of the raisins that he buys?
Explanation: Let Initial Price/pound = 10x, and initial Quantity = 10y.
Therefore, the price Simon was planning on paying is 100xy.
Now price/lb = 6x, and he needs to buy zy lbs.
So, 100xy = 6zxy
So, z = 50/3
therefore, n/100 of 10y = zy
or, n/100 of 10 = 50/3
or, n = 166.66= 67% increase..