Amit, Vipul and Kapil can do a piece of work in 12, 16 and

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Amit, Vipul and Kapil can do a piece of work in 12, 16 and 24 days, respectively. If they complete the work together and get an amount of ₹ 2700, then what is the share of Vipul in that amount?

1. ₹ 450
2. ₹ 1000
3. ₹ 225
4. ₹ 900
5. None of the above

Correct Option: D

1 day's work of Amit = 1/12
1 day's work of Vipul = 1/16
1 day's work of Kapil = 1/24
Amit's share : Vipul's share : Kapil's share
= (1/12) : (1/16) : (1/24) = 4/48 : 3/48 : 2/48 = 4 : 3 : 2
Now, Vipul's share = (3/9) x 2700
=3 x 300 = ₹ 900