A can do a piece of work in 10 days; B in 15 days. They work for 5 days. The rest of the work was finished by C in 2 days. If they get Tk. 3000 for the whole work, the daily wages of B and C together is:

Question: A can do a piece of work in 10 days; B in 15 days. They work for 5 days. The rest of the work was finished by C in 2 days. If they get Tk. 3000 for the whole work, the daily wages of B and C together is:

Solution:
Part of work done by A= 1/10 × 5 ⇒ 1/2
Part of work done by B = 1/15 × 5 ⇒ 1/3
Part of work done by C = 1 - (1/2 + 1/3)
⇒ 1 - 5/6
⇒ 1/6
∴ (A’s share) : (B’s share) : (C’s share) = 1/2 : 1/3 : 1/6
⇒ 3 : 2 : 1

A’s share = 3/6 × 3000 ⇒Tk. 1500
B’s share = 2/6 × 3000 ⇒Tk. 1000
C’s share = 1/6 × 3000 ⇒Tk. 500

A’s daily wages = 1500/5 ⇒ Tk. 300
B’s daily wages = 1000/5 ⇒ Tk. 200
C’s daily wages = 500/2 ⇒ Tk. 250
Daily wages of Y and Z = (200 + 250) ⇒Tk. 450

The daily wages of B and C together is Tk. 450.