X, Y, and Z are hired to complete a project for Tk. 6900. X and Y together complete 17/25 of the work, and Y and Z together complete 13/25 of the work. What is the wage of Y in Taka?

Question: X, Y, and Z are hired to complete a project for Tk. 6900. X and Y together complete 17/25 of the work, and Y and Z together complete 13/25 of the work. What is the wage of Y in Taka?

Solution:
X + Y = 17/25
Y + Z = 13/25

অতএব,
X + Y + Y + Z = (17/25) + (13/25)
= 30/25

যেখানে, X + Y + Z = 1 (সম্পূর্ণ কাজ)

এখন,
(X + Y + Z + Y) - (X + Y + Z) = 30/25 - 1
∴ Y = 5/25 = 1/5

∴ Y এর বেতন = (1/5) × 6900 = Tk. 1380