Multiple choice

A milkman made a mixture by mixing milk and water in the ratio 2:3 and sold 37.5% of the mixture. If he added 62.5 litre water in the remaining mixture, ratio of milk to water becomes 2:5, then find the initial quantity of mixture? एक दूधवाले ने दूध और पानी को 2:3 के अनुपात में मिलाकर मिश्रण बनाया और मिश्रण का 37.5% बेचा। यदि वह शेष मिश्रण में 62.5 लीटर पानी मिलाता है, तो दूध और पानी का अनुपात 2:5 हो जाता है, तो मिश्रण की प्रारंभिक मात्रा ज्ञात कीजिए?

  1. 200

  2. 250

  3. 240

  4. 300

  5. None of these इनमें से कोई नहीं

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

Initial mixture has milk:water = 2:3. After selling 37.5%, 62.5% remains with same ratio. Let initial quantity be x. Initial milk = 0.4x, water = 0.6x. After selling: milk = 0.4x * 0.625 = 0.25x, water = 0.6x * 0.625 = 0.375x. Adding 62.5L water: water = 0.375x + 62.5. New ratio 2:5 means 0.25x/(0.375x + 62.5) = 2/5. Solving: 1.25x = 0.75x + 125, 0.5x = 125, x = 250. Option B is correct.