Chapter: Linear Equations in Two Variables· Mathematics Part 1 (Algebra)
Answer: Skilled worker ₹ 500 per day; unskilled worker ₹ 400 per day
Let the daily wage of a skilled worker be ₹ \(x\) and of an unskilled worker be ₹ \(y\).
Ratio condition: \(\dfrac{x}{y} = \dfrac{5}{4} \Rightarrow 4x = 5y \Rightarrow 4x - 5y = 0\) …(I)
Total condition: \(x + y = 900\) …(II)
Multiply (II) by 5: \(5x + 5y = 4500\) …(III)
Add (I) and (III): \(9x = 4500 \Rightarrow x = 500\)
From (II): \(y = 900 - 500 = 400\)
Check: \(500 : 400 = 5 : 4\) ✓.