Based on this year's costs, a builder budgets P dollars for planing N new buildings next year. If the average cost of building each building were to increase 10% from this year's cost, then the greatest number of buildings that the builder could build next year using P dollars would be:
Answers.
A) 9% less than N B) 11% less than N C) Equal to N D) 9% greater than N E) 11% greater than N
Correct answer is (A).   This year, the price of a building is price1=P/N.   If this price increases by 50% it becomes Price2=P/N*1.1   Then with P dollars, you can build P/Price2 buildings i.e. P/(P/N*1.1) i.e. N/1.1 i.e. 0.91*N   Which is 9% less than N.
<result>A</result>
Based on this year's costs, a builder budgets P dollars for planing N new buildings next year. If the average cost of building each building were to increase 10% from this year's cost, then the greatest number of buildings that the builder could build next year using P dollars would be: