Multiple choice

From a vessel containing 100 litre of wine, 10 litre are drawn out and an equal amount of water is added. From the mixture, 10 litre is again drawn out and same quantity of water is added. What is the final ratio of wine and water? 100 लीटर शराब से युक्त एक बर्तन से, 10 लीटर बाहर निकाला जाता है और बराबर मात्रा में पानी मिला दिया जाता है । मिश्रण से, 10 लीटर फिर से निकाला जाता है और बराबर मात्रा में पानी मिला दिया जाता है। शराब और पानी का परिणामी अनुपात क्या है?

  1. 91 : 9

  2. 81 : 19

  3. 80 : 20

  4. 90 : 10
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B Correct answer
Explanation

After first replacement: wine = 100 - 10 = 90, water = 10. Ratio 90:10. When 10L drawn from mixture, wine removed = 10 × (90/100) = 9L, water removed = 10 × (10/100) = 1L. Remaining: wine = 90 - 9 = 81L, water = 10 - 1 = 9L. Adding 10L water: wine = 81L, water = 9 + 10 = 19L. Final ratio is 81:19. This uses mixture alligation principles.

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