Question

A can of pickle consist mixture of olives and oil in ratio of 3 : 5, when 2 liters of oil is replaced with mixture, the ratio of olive to oil becomes 3 : 9. Calculate quantity of olives in the initial mixture. 
1. 1.5 L
2. 2.5 L
3. 10/3 L
4. 2.25 L
5. 3 L

Answer 1

Correct Answer - Option 4 : 2.25 L

Given:

Initial mixture = 3 : 5

Final mixture = 3 : 9

Calculation:

Let’s, calculate this sum in terms of parts.

⇒ Initial mixture = 3 + 5

⇒ Initial mixture = 8 parts

⇒ Final mixture = 3 + 9

⇒ Final mixture = 12 parts

2 liters were replaced while forming final mixture

⇒ 12 – 8 = 2 L

⇒ 4 Parts = 2 L

⇒ 1 Part = 1/2 L

⇒ 8 Parts = 8 × (1/2)

⇒ Initial Quantity = 4 L + 2L (∵ 2 L was replaced)

⇒ Quantity of olives = (3/8) × 6

∴ Quantity of olives = 2.25 L