Question
Download Solution PDFIn a mixture the ratio of liquid A and liquid B is 3 ∶ 2. If a 5-liter mixture is drawn out and in the final mixture, the quantity of liquid A is 12 litre more than liquid B, then find the initial quantity of liquid A in the mixture.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
Quantity of A: Quantity of B = 3: 2
Calculation
Let the initial quantity of A and B be 3x and 2x.
A total of 5 lt of the mixture is drawn out.
Hence, quantity of A drown out = 5 × (3/5) = 3 lt
And, quantity of B drown out = 5 × (2/5) = 2 lt
According to question
(3x - 3) - (2x - 2) = 12
⇒ x - 1 = 12
⇒ x = 13
∴ Initial quantity of A = 3x = 3 × 13 = 39 litres.
Last updated on Jul 3, 2025
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