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
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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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