Adding Sections Completion Percentages of a Whole

Question

If a project is divided into two parts and part one is 50% complete and part two is 25% complete, what percentage of the project is completed?

Number of Parts: 2
Part 1: 50%
Part 2: 25%

(Part 1 + Part 2) / Parts = Project Completion Percentage

(50 + 25) = 75
75 / 2 = 38 (rounded)

Is this logic correct?

Thank you!

Answer 1

This logic is correct but upto the assumption that the project initally take is divided in equal parts. When the project is not divided in equal parts the correct method will be as follows

Let the method be divided in x% and (100-x)% The total completion in this case will be 50% of x% + 25% of (100-x)%

Your method works as x = 100 - x = 50, This logic can also be extended to more partitions of projects and the answer will still be obtained in a similar fashion.

Total Percentages/Total Equipartions

Answer 2

Lets assume total work is 100.

Then work is divided in two parts x and 100-x.

${x}$ work is completed 50% = $\dfrac{x}{2}$

(${100 - x}$) work is completed 25% = $\dfrac{100-x}{4}$

Therefore total work done is

$$\dfrac{x}{2}+\dfrac{100-x}{4}$$ $$\dfrac{x+100}{4}$$

Example ${x}$ = 50 Total work completed is $$\dfrac{100+50}{4} = 37.5$$