Calculate the greatest number of trees..help!!!

[apoorva.srivastva]

Based on this year's costs, an orchard grower budgets P dollars for planting N new trees next year. If the average cost of planting each tree were to increase 25 percent from this year's cost ,then the greatest number of trees that the orchard grower could plant next year using P dollars would be.


A. 20% less than N
B. 25%less than N
C. equal to N
D. 20%greater than N
E. 25% greater than N

[nitya34]

A

1/1.25

=0.80

[truplayer256]

The average cost of planting each tree would be P dollars/ N new trees or P/N dollars for one new tree. Now if this price were to increase 25% from this year's cost, the orchard grower would have to pay 5/4*P/N dollars to plant each tree. With such a tremendous increase in price for planting one tree, the orchard grower can only plant (P)/(5P/4N)=P*4N/4P=4N/5 trees this year, a 20% decrease from the number of trees he could've planted last year. A should be the correct answer.

[ghacker]

It would be 20% less
If the total cost remains the same