A can do a work in 12 days and B in 16 days. If both of them work together to do the work and get ₹ 2100, find the share of each.

800, 1700
900, 1200
1200, 900
None of these

Correct Answer: 1200, 900

Explanation:

A can do a work in 12 days.
∴ Work done by A = 1/12
B can do a work in 16 days.
∴ Work done by A = 1/16
Ration of Work done by A : Ration of Work done by B = 1/12 : 1/16
Ration of Work done by A : Ration of Work done by B = 4 : 3
A's shares = 2100 x 4/7 = 300 x 4 = ₹ 1200
B's share = 2100 x 3/7 = 300 x 3 = ₹ 900

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