A and B can complete a piece of work in 15 days and 10 days respectively. They got a contract to complete the work for Tk. 75000. The share of B in the contracted money will be:

Question: A and B can complete a piece of work in 15 days and 10 days respectively. They got a contract to complete the work for Tk. 75000. The share of B in the contracted money will be:

Solution:
Ratio of number of days taken by A and B to complete the work = 15 : 10 = 3 : 2
∴ Ratio of efficiency of A and B = 2 : 3

Let their share is in the ratio of 2x and 3x
Now,
2x + 3x = 75000
⇒ 5x = 75000
∴ x = 15000

∴ Share of B = 3x
= 15000 × 3
= 45000 Taka