Question
Download Solution PDFIn a mixture of 60 liter, the ratio of acid and water is 2:1,if the ratio of acid and water is to be 1:2 the amount of water in liter to be added in mixture is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Initial mixture = 60 liters.
Ratio of acid to water = 2 : 1.
Final ratio of acid to water = 1 : 2.
Formula Used:
Quantity of acid in the mixture = (Initial ratio of acid / Total ratio) × Total mixture.
Quantity of water in the mixture = (Initial ratio of water / Total ratio) × Total mixture.
To change the ratio to 1 : 2, additional water needs to be added. New water quantity = (2 × New acid quantity).
Calculation:
Initial ratio of acid to water = 2 : 1. Total ratio = 2 + 1 = 3.
Quantity of acid in the mixture = (2 / 3) × 60 = 40 liters.
Quantity of water in the mixture = (1 / 3) × 60 = 20 liters.
To achieve the final ratio of 1 : 2:
New water quantity = 2 × Acid quantity = 2 × 40 = 80 liters.
Additional water to be added = New water quantity - Initial water quantity.
⇒ Additional water = 80 - 20 = 60 liters.
The amount of water to be added is 60 liters.
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