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24 persons can do a piece of work in 20 days. In how many days can 30 persons do the same work?

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24 persons can do a piece of work in 20 days. In how many days can 30 persons do the same work?
1. 18
2. 16
3. 14
4. 12
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Correct Answer - Option 2 : 16

Given:

Time taken by 24 persons to do a work = 20 days 

Formula used:

Total work = Persons × Days 

Calculation:

Total work = 24 × 20 

No of days taken by 30 persons = (24 × 20)/30 = 16 

∴ The required no of days = 16 

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