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Vatsal is 55% more efficient than Sourav, and Sourav takes 33 days more than Vastal to complete a piece of work. How many days will Sourav take to complete the same work?
1. 100 days
2. 60 days
3. 93 days
4. 78 days

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Best answer
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.

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