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Doctors Medicines MCQs Q&A

  1. Quantity A > Quantity B
  2. Quantity A < Quantity B
  3. Quantity A ≥ Quantity B
  4. Quantity A ≤ Quantity B
  5. Quantity A = Quantity B or No relation
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1 Answers

Option 1 : Quantity A > Quantity B

Given:

Initial ratio (A : B) = 3 : 5

Amount of liquid drawn = 12l

Final ratio (A : B) = 1 : 3

Calculation:

Let the initial quantity of A and B be 3x and 5x.

Quantity of A left = 3x – (3/8) × 12 = (3x – 9/2) l

Quantity of B left = 5x – (5/8) × 12 = (5x – 15/2) l

A.T.Q

(3x – 9/2)/(5x – 15/2) + 12 = 1/3

⇒ (3x – 9/2)/(5x + 9/2) = 1/3

⇒ 9x – 27/2 = 5x + 9/2

⇒ 4x = 36/2

⇒ 4x = 18

⇒ x = 4.5

A's initial quantity = 3x = (3 × 4.5) liters

⇒ 13.5 litres

∴Quantity A > Quantity B 

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Related Questions

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