Sachin, Dheeraj and Bobby can finish a work in 12, 15 and 24 days respectively. They together finished the work and received Rs.920. Find the share of Bobby?
Answers
Answer:
200
Step-by-step explanation:
take LCM of all
12,15,24 -> 120
per day work -> 10, 8, 5 = 23 total
920/23 = 40*5 = 200
The given question is Sachin, Dheeraj and Bobby can finish work in 12, 15 and 24 days respectively. They together finished the work and received Rs.920
we have to find the share of Bobby
The Sachin can finish work in 12 days
The Dheeraj can finish work in 15 days
Bobby can finish work in 24 days.
They together finished the work and earned Rs.920.
The LCM of these three is 12,15,24 is 120.
Their together work will be 10,8,5 together.
On adding the total of work on one day we get the value of 23.
On dividing 920 by 23 we get 40.
This will the payment received for one day.
which means for 5 days we get the amount as 200.
Therefore, the share of the bobby will be 200.
The share of Sachin will be 10 * 40=400.
The share of Dheeraj will be 8*40=320.
Hence, the share of Bobby is 200.
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