Correct Answer - Option 3 : 93 days
Given:
Vatsal is 55% more efficient than Sourav, Sourav takes 33 days more than Vatsal to complete a piece of work.
Concept:
Efficiency is inversely proportional to the time.
Calculation:
Ratio of efficiency of Vatsal and Sourav = 155 ∶ 100
Ratio of time taken by Vatsal and Sourav = 100 ∶ 155 = 20 ∶ 31
Let Vatsal takes 20x days, and Sourav takes 31x days to complete a piece of work.
Days taken by Sourav – Days taken by Vatsal = 33
⇒ 31x - 20x = 11x
⇒ 11x = 33
⇒ x = 3
And, days taken by Sourav to complete the work = 31x = 31 × 3
⇒ 93
∴ Sourav will take 93 days to complete the same work.