Multiple choice

A vessel contains a mixture of two liquid A and B is the ratio 3:4. Whe 7 liters of mixture are drawn off and the vessel is filled with 7 liter of A. Then the ratio of A and B become 16:19. How many litres of liquid B was contained by vessel initially? एक बर्तन दो द्रवों A और B के मिश्रण से भरा है। जिसमे A और B का अनुपात 3 : 4 है। यदि 7 लीटर A भर दिया गया । तो A और B का अनुपात 16 : 19 हो जाता है। तो ज्ञात कीजिए प्रारम्भ में B की मात्रा कितने लीटर थी?

  1. 60

  2. 80

  3. 140

  4. 65

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

Initial mixture has A:B = 3:4. Let quantities be 3x and 4x, total = 7x. When 7 liters drawn, proportion removed: A removed = 3x/7x × 7 = 3, B removed = 4x/7x × 7 = 4. Remaining: A = 3x - 3, B = 4x - 4. After adding 7 liters of A: new A = 3x - 3 + 7 = 3x + 4, new B = 4x - 4. New ratio A:B = (3x + 4):(4x - 4) = 16:19. Cross-multiplying: 19(3x + 4) = 16(4x - 4), giving 57x + 76 = 64x - 64, so 140 = 7x, x = 20. Initial B = 4x = 80 liters. This matches option B.