Two equal glasses are filled with alcohol and water respectively. First glass is filled with (2/5) of alcohol and second glass is filled with (1/4) of alcohol. Then, the glasses are filled up with water and the resultant mixture is put into a big Jug. Find the ratio of alcohol and water in the jug.
This questions was previously asked in
IBPS PO Prelims (04 Dec, 2021 Shift 3)
Explanation:
Let's break down the problem to find the ratio of alcohol to water when both mixtures are combined into a jug:
- In the first glass:
- Alcohol = 2/5
- Water = 3/5
- In the second glass:
- Alcohol = 1/4
- Water = 3/4
- Assume both glasses have the same volume, say V.
- Alcohol in the jug = (2/5)V + (1/4)V = (8/20)V + (5/20)V = (13/20)V
- Water in the jug = (3/5)V + (3/4)V = (12/20)V + (15/20)V = (27/20)V
- The ratio of alcohol to water in the jug: (13/20)V : (27/20)V = 13 : 27
- Option 1: 13 : 27 is correct.
Therefore, the correct answer is:
Option 1: 13 : 27
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By: Parvesh Mehta