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Raju and Shyam can complete a work in 20 days and 30 days respectively. They began the work, but Raju left the work after some days and Shyam completed the remaining work in 10 days. After How many days from the beginning Raju left the work?
1. 8 days
2. 10 days
3. 9 days
4. 7 days

1 Answer

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Best answer
Correct Answer - Option 1 : 8 days

Given:

Raju can complete a work in 20 days

Shyam can complete a work in 30 days

Calculations:

According to the question, we have

Total work = LCM of 20 and 30 = 60

Efficiency of Raju = 60 ÷ 20 = 3 unit per day

Efficiency of Shyam = 62 ÷ 30 = 2 units per day

Work done by Shyam in 10 days is

⇒ Work done by Shyam in 10 days = 10 × 2

⇒ Work done by Shyam in 10 days = 20 units

Remaining work done by Raju and Shyam together is 

⇒ Remaining work = 60 - 20

⇒ Remaining work = 40 units

So, 40 units work was done by Raju and Shyam together

⇒ Number of days = 40/(3 + 2)

⇒ Number of days = 8 days

∴ Raju worked from the beginning for 8 days.

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