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A completed his office project in 52 days. B is 30% more efficient than A. How many days will B take to complete the same project? 
1. 40
2. 25
3. 65
4. 13

1 Answer

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Best answer
Correct Answer - Option 1 : 40

Given:

A can complete his office project in 52 days

B is 30% more efficient than A.

Formula Used

Work = Time × Efficiency 

Time is inversely proportional to Efficiency.

Calculation

Let the days taken by B to complete the project be x

According to the question,

The ratio of efficiency of B and A = 130 : 100

The ratio of time taken by B and A = 100 : 130 = 10 : 13

The time taken by B to complete the project = (52) × (10/13) 

⇒ x = (52) × (10/13) 

⇒ x = 40

∴ B will take 40 days to complete the project.

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