Correct Answer - Option 4 : 201 litres
Given:
Boiler Y → Chemical A: Chemical B = 3: 2
Boiler X → Chemical A: Chemical B = 1: 7
Boiler X = 144 litres
Chemical A = Chemical B = 25 litres (New mixture)
Calculation:
Boiler X = 144 litres
Chemical A in boiler X = (1/ 8) × 144
⇒ Chemical A in boiler X = 18 litres
Chemical B in boiler X = (7/ 8) × 144
⇒ Chemical B in boiler X = 126 litres
Let chemical A in boiler Y be 3P and chemical B in boiler Y be 2P
Chemical A quantity transferred = 16 × 1/ 8
⇒ Chemical A quantity transferred = 2 litres
Chemical B quantity transferred = 14 litres (∵ 16 – 2 = 14)
⇒ Total chemical A in boiler Y = 2 + 3P
⇒ Total chemical B in boiler Y = 14 + 2P
Now, (2 + 3P) – (14 + 2P) = 25
⇒ P = 25 + 14 – 2
⇒ P = 37 litres
Total quantity of mixture in boiler Y = 5 × P
⇒ Total quantity of mixture in boiler Y = 185 litres
∴ Total quantity of mixture in boiler Y is 185 litres (initial Quantity.)
185 is initial quantity of mixture in boiler Y
final quantity of mixture in boiler Y is 185+16 = 201 litres