A alone can finish a work in 12 days and B can finish it in 18 days. If they work together and finish it, then out of the total of ₹6,000, A will get:

Correct option is B

Given:

A can do work in 12 days

B can do the same work in 18 days

Total wages earned = ₹6,000 

Concept Used

The amount each worker earns is proportional to the work they do. If A and B work together, the total work done is distributed between them based on their respective rates of working.

Formula Used:

Let total work be 1 unit.

Then, work done 1 day = $$\frac{1}{Total\ time\ to\ work}$$​​

Solution:

A’s one day’s work = $$\frac{1}{12}$$​​

B’s one day’s work =$$\frac{1}{18}$$​​

Ratio of A’s and B’s one day work =$$\frac{1}{12}:\frac{1}{18} =3:2$$ 

Total of ratio of income = 3 + 2 = 5

A’s income = $$\frac{3}{5}\times 6000 = ₹3600$$