Question

At Shradhha construction site, worker A can do the work in 12 days while worker B alone can do the work in 16 days. If worker A and B construct it together and A is getting a wage of Rs. 3600 for the whole work, then what is B's wage?
1. Rs. 2200
2. Rs. 2500
3. Rs. 2700
4. Rs. 3000
5. Rs. 3200

Answer 1

Correct Answer - Option 3 : Rs. 2700

Given:

Time taken by A to do the work = 12 days

Time taken by B to do the work = 16 days

Wage offered to A = Rs. 3600

Formula Used:

Rate of Work = 1/(Time Taken)

The ratio of A to B shares = (A's rate of work) : (B's rate of work)

Calculation:

A's 1 day work = (1/12) unit

B's 1 day work = (1/16) unit

The ratio of A to B shares = (1/12) : (1/16)

⇒ 4 : 3

A's share = 4 units

B's share = 3 units

According to the question,

4 units = Rs. 3600

⇒ 1 unit = Rs. 900

B's share = 3 × 900

⇒ Rs. 2700

∴ B's share will be Rs. 2700.