Question : Dev completed the school project alone in 40 days. How many days will Arun alone take to complete the same work if he is 25% more efficient than Dev?
Option 1: 35 days
Option 2: 14 days
Option 3: 32 days
Option 4: 16 days
Correct Answer: 32 days
Solution :
Given,
Dev completed the school project in = 40 days
Arun is 25% more efficient than Dev.
So their time ratio will be, Arun : Dev = 100 : 125 = 4 : 5
Let the days taken by Arun to complete the work be $x$.
⇒ $4 : 5 :: x : 40$
⇒ $\frac{4}{5} = \frac{x}{40}$
⇒ $x = 32$
Hence, the correct answer is 32 days.
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