Subject: General Aptitude · Chapter: Alligation or Mixture · Exam: · Marks: · Difficulty:
8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of the water is 16 : 65. How much wine did the cask hold originally ?
(a)18 litres
(b)24 litres
(c)32 litres
(d)42 litres
Answer
Answer (as printed): B
Explanation
Let the quantity of the wine in the cask originally be x litres. Then, the quantity of the wine left in cask after 4 operations 4 8 = x 1 – litres. x 4 8 x 1 – 4 2 x 16 8 2 x – 8 2 ∴ = ⇒ 1 – = ⇒ = 3 x 81 x 3 x ⇒ 3x – 24 = 2x ⇒ x = 24.
Explanation as extracted from the printed page; notation may be imperfect.