Based on this year's costs, an orchard grower budgets P dollars for planing N new trees next year. If the average cost of planting each tree were to increase 33% from this year's cost, then the greatest number of trees that the orchard grower could plant next year using P dollars would be:	Pick.
A) 15% less than N
B) 25% less than N
C) equal to N
D) 25% greater than N
E) 15% greater than N
Correct answer is (B).   This year, the price of a tree is price1=P/N.   If this price increases by 33% it becomes Price2=P/N*1.33   Then with P dollars, you can grow P/Price2 trees i.e. P/(P/N*1.33) i.e. N/1.33 i.e. 0.75N   Which is 25% less than N.
<result>B</result>
Based on this year's costs, an orchard grower budgets P dollars for planing N new trees next year. If the average cost of planting each tree were to increase 33% from this year's cost, then the greatest number of trees that the orchard grower could plant next year using P dollars would be: