Multiple choice

Several liters of acid were drawn off from a 75 litre vessel, full of acid and equal amount of water was added. Again the same volume of the mixture was drawn off and replaced by water. As a result now, the vessel contained 48 litres of pure acid. How much of the acid was drawn off initially? एसिड से भरे 75 लीटर के एक पात्र से कुछ लीटर एसिड निकाला गया तथा समान मात्रा में पानी मिला दिया गया । फिर से मिश्रण से समान मात्रा निकाली गयी और पानी से बदल दी गयी। परिणाम स्वरुप अब पात्र में 48 लीटर शुद्ध एसिड बची है । प्रारम्भ में एसिड की कितनी मात्रा निकली गयी थी?

  1. 25

  2. 27

  3. 15

  4. 18

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

After two operations: acid remaining = 75(1 - x/75)² = 48. Solving: (1 - x/75)² = 48/75 = 16/25, so 1 - x/75 = 4/5, x/75 = 1/5, x = 15. Each operation removes the same fraction x/75 of the current acid content. This is a standard dilution problem with sequential removal.