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34 vote

Rahul and Ravi undertook to do a piece of work for Rs. 9000. Rahul alone could do the work in the 16 days and Ravi in 24 Days. With the assistance Kamlesh, they finished the work in 8 days. How much money should be given to Kamlesh?

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Rahul and Ravi undertook to do a piece of work for Rs. 9000. Rahul alone could do the work in the 16 days and Ravi in 24 Days. With the assistance Kamlesh, they finished the work in 8 days. How much money should be given to Kamlesh?


1). Rs. 4500
2). Rs. 3000
3). Rs. 2000
4). Rs. 1500


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1 answers

20 vote
Answered by on | Votes 20 |

⇒ Work done by Rahul in 8 days = 8 × (1/16) = 1/2

⇒ Work done by Ravi in 8 days = 8 × (1/24) = 1/3

It means, Rahul and Ravi done 1/2 and 1/3rd of work, respectively, in 8 days

⇒ Work done by kamlesh = {1 – (1/2 + 1/3)} = 1 – 5/6 = 1/6

⇒ Rahul’s share: Ravi’s share : Kamlesh's share = 1/2 : 1/3 = 3 : 2

⇒ Kamlesh’s share = (1/6) × 9,000 = 1500

∴ Kamlesh’s share is Rs. 1500

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