question on ROM estimate

You are working for FALCON highway construction agency as a project cost estimator. The agency started a highway construction project which is in it's planning phase. The rough order of magnitude (ROM) cost estimate for the project is expected to be between 3 and 5 million dollars in the planning phase with a ROM of 25% to +25%. What will be the ROM estimate in the execution phase if it changes to 10% to +10%?

A.    Between 3.1 and 4.1 million dollars

B.     Between 3.6 and 4.4 million dollars

C.     Between 3.9 and 4.1 million dollars

D.    Between 3.4 and 4.4 million dollars

Answer is given as B. Can someone explain please?

 

mean of estimate is (3+5)/2 = 4 Mn


In Planning phase, estimates are prepared to the realistic mode upto the accuracy level of + or - 10%


Therefore, range of estimates will be 4-10% of 4 and 4 + 10% = 3.6 to 4.4 Mn


The answer is B


Trust this is clarified


Bhavesh


 

Thank You Bhavesh

 it is simple mathematics

3 = X - 0.25X

=> X = 4

LIKE 

5 = X + 0.25X

=.> X = 4

Now for +/- 10% of 4 , values will be 

4 - 0.10*4 = 3.6

and

4 + 0.10*4 = 4.4

Thank You Pawar sir