Multiple choice

A can contains a mixture of two liquids A and B in the ratio 6 : 11. When 34 litres of mixture is drawn off and the can is filled with 23 litres of liquid A the ratio of A and B becomes 7 : 9. How many litres of liquid B was contained by the can initially ?/एक पात्र में A और B का मिश्रण 6 : 11 के अनुपात में हैं। जब 34 ली. मिश्रण निकाल लिया जाता है और पात्र में 23 ली. द्रव A मिला दिया जाता है तो A और B का अनुपात 7 : 9 हो जाता है। पात्र में प्रारम्भिक अवस्था में B की मात्रा कितने ली. थी।

  1. 110 lit/ली.

  2. 99 lit/ली.

  3. 121 lit/ली.

  4. 123 lit/ली.

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Initially, let A = 6x litres and B = 11x litres (total 17x). When 34 litres is drawn, it removes (6/17)×34 = 12 litres of A and (11/17)×34 = 22 litres of B. After adding 23 litres of A, new A = 6x - 12 + 23 = 6x + 11, and new B = 11x - 22. New ratio (6x+11)/(11x-22) = 7/9 gives x = 11. Initial B = 11x = 121 litres. Option A (110 litres) would result if you mistakenly used the new ratio differently. Option D (123 litres) doesn't satisfy the equation.