Based on this year's costs, an orcharde grower budgets P dollars for planing N new trees next year. If the average cost of planting each tree were to increase 20% from this year's cost, then the greatest number of trees that the orchard grower could plant next year using P dollars would be
Select the correct option.
A) 17% less than N  B) 25% less than N  C) equal to N  D) 20% greater than N  E) 25% greater than
Correct answer is (A).   This year, the price of a tree is price1=P/N.   If this price increases by 20% it becomes price2=P/N*1.20   Then with P dollars, you can grow P/price2 tress i.e. P/(P/N*1.20) i.e. N/1.20 i.e. .83*
<result>A</result>
Based on this year's costs, an orcharde grower budgets P dollars for planing N new trees next year. If the average cost of planting each tree were to increase 20% from this year's cost, then the greatest number of trees that the orchard grower could plant next year using P dollars would be