Correct Answer - Option 2 : 115 days
Given:
Abhishek is 20% more efficient than Dolly, Dolly takes 23 days more than Abhishek to complete a piece of work.
Concept:
Efficiency is inversely proportional to the time.
Calculation:
Ratio of efficiency of Abhishek and Dolly = 120 ∶ 100
Ratio of time taken by Abhishek and Dolly = 100 ∶ 120
Let Abhishek takes 100x days, and Dolly takes 120x days to complete a piece of work.
Days taken by Dolly – Days taken by Abhishek = 23
⇒ 120x – 100x = 23
⇒ 20x = 23
⇒ x = 23/20
Days taken by Abhishek = 100x
⇒ 100 × 23/20
⇒ 5 × 23
⇒ 115
And, days taken by Dolly = 120x
⇒ 120 × 23/20
⇒ 6 × 23
⇒ 138
∴ Abhishek will take 115 days to complete the same work.
