Subject: General Aptitude · Chapter: Alligation or Mixture · Exam: · Marks: · Difficulty:
A vessel contains a mixture of Grape, Pineapple and Banana juices in the respective ratio of 4 : 6 : 5. 15 litres of this mixture is taken out and 8 litres of grape juice and 2 litres of pineapple juice is added to the vessel. If the resultant quantity of grape juice is 10 litres less than the resultant quantity of grape juice is 10 litres less than the resultant quantity of pineapple juice. What was the initial quantity of mixture in the vessel? (in litres) [IBPS—Bank PO/MT (Pre.) Exam, 2015]
(a)120
(b)150
(c)105
(d)135
Answer
Answer (as printed):
Explanation
Let quantity of grape, pineapple and banana juice in the mixture be 4x, 6x and 5x respectively Total initial quantity of juice in the vessel = 4x + 6x + 5x = 15x liters 640 In 15 liters of juice, Grape’s juice = 4 liters Pineapple’s juice = 6 liters Banana’s juice = 5 liters Resultant quantity of grape juice is 10 liters less than the resultant quantity of pineapple juice. ⇒ ( 6x − 6 + 2 ) − ( 4x − 4 + 8 ) = 10 ⇒ 6x − 4 − 4x − 4 = 10 ⇒ 2x − 8 = 10 ⇒ 2x = 10 + 8 = 18 ⇒x=9 ∴ Initial quantity of mixture = 15x = 15 × 9 = 135 liters
Explanation as extracted from the printed page; notation may be imperfect.