A, B and C, each of them working alone can complete a job in 4, 6 and 8 days respectively. If all three of them work together to complete a job and earn Rs. 1170, then what will be B’s share in the total earnings?

To solve this problem, we first need to find the rate at which each person can complete the job.

1. A can complete the job in 4 days, so A's rate is 1/4 of the job per day.
2. B can complete the job in 6 days, so B's rate is 1/6 of the job per day.
3. C can complete the job in 8 days, so C's rate is 1/8 of the job per day.

Next, we need to find the total rate when all three of them work together. We do this by adding up their individual rates:

Total rate = A's rate + B's rate + C's rate Total rate = 1/4 + 1/6 + 1/8 = 15/48 of the job per day.

Now, we need to find out how much of the job each person does when they all work together. We do this by dividing each person's individual rate by the total rate:

1. A's share = A's rate / Total rate = (1/4) / (15/48) = 12/15 of the job.
2. B's share = B's rate / Total rate = (1/6) / (15/48) = 8/15 of the job.
3. C's share = C's rate / Total rate = (1/8) / (15/48) = 6/15 of the job.

Finally, we can find out how much each person earns by multiplying their share of the job by the total earnings:

B's earnings = B's share * Total earnings B's earnings = 8/15 * Rs. 1170 = Rs. 624.