Question

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 pineapple juice, what was the initial quantity of mixture in the vessel? (in litres)

Options

• 120

• 150

• 105

• 135

Answer 1

135

Explanation:

Total initial quantity of juice in the vessel = 4x + 6x + 5x = 15x litres

In 15 litres of juice,

Grapes's juice = 4 litres

Pineapple's juice = 6 litres

Banana's juice = 5 litres

According to the question,

(6x – 6 + 2) – (4x – 4 + 8) = 10

⇒ 6x – 4 – 4x – 4 = 10

⇒ 2x – 8 = 10

⇒ 2x = 10 + 8 = 18

⇒ x = 9

∴ Intitial quantity of mixture = 15x = 15 × 9 = 135 litres