Question

Sudhir completed his office project in 30 days. Kavita is 20% more efficient than Sudhir. How many days will Kavita take to complete the same project? 

1. 24 days
2. 25 days
3. 35 days
4. 20 days
5. 22 days

Answer 1

Correct Answer - Option 2 : 25 days

Given 

Sudhir can complete his office project in 30 days

Formula Used

Work = Time × Efficiency 

Calculation

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

Kavita is 20% more efficient than Sudhir.

The ratio of efficiency of Kavita and Sudhir = 120 : 100 = 6 : 5                                                                     

⇒ Proportion of time taken to complete the project

⇒ 6 : 5 : 30 : x

⇒ 6/5 = 30/x

⇒ x = {(5 × 30)/6}

⇒ x = 25 days

∴ Kavita will take 25 days to complete the work.