Multiple choice

A jar contained a mixture of milk and water in the ratio 4 : 1 when 10 litres of the mixture was taken out and 10 litres of water was poured into the jar, this ratio became 2 : 3. The quantity of milk contained in the jar initially was- एक पात्र में दूध और पानी का अनुपात 4: 1 है। जब 10 लीटर मिश्रण निकाला जाता है और 10 लीटर पानी पात्र में डाला जाता है, यह अनुपात 2: 3 हो जाता है। प्रारम्भिक अवस्था में पात्र में दूध की मात्रा थी-

  1. 4 litres/लीटर

  2. 8 litres/लीटर

  3. 16 litres/लीटर

  4. 40 litres/लीटर

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

Let initial quantities be 4x and x (milk:water). After removing 10L mixture, we remove 8L milk and 2L water (maintaining 4:1 ratio). Adding 10L water gives (4x-8):(x+8) = 2:3. Solving: 3(4x-8) = 2(x+8), so 12x-24 = 2x+16, giving x=4. Initial milk = 4x = 16L. Option A (4L) would be just water, B (8L) is the water amount, and D (40L) would give wrong final ratio.