Engineering Board Exam Reviewer · Uniform Gradient Series · medium

A cost is P10,000 at the end of year 1 and increases by 5% each year for 5 years. Find the present worth at 10% interest.

  1. P41,338.77
  2. P37,907.87
  3. P55,250.28
  4. P41,505.91

Answer

D. P41,505.91

Solution

For a geometric gradient with i g: P=A1 1-≤ft(1+g/1+i )ni-g=10,000·1-(1.05/1.10)5/0.10-0.05=P41,505.91.

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