Multiple choice

Two vessels contain milk and water in the ratio 3:2 and 7:3. Find the ratio of which the contents of the two vessels have to be mixed to get a new mixture in which the ratio of milk and water is 2:1. दो बर्तनों में दूध तथा पानी का अनुपात 3 : 2 और 7 : 3 है। तदनुसार, इस अनुपात को ज्ञात कीजिए, जिसके अनुसार दोनों बर्तनों के मिश्रणों को मिलाकर दूध और पानी का अनुपात 2 : 1 का नया मिश्रण तैयार किया जा सके।

  1. 2:1

  2. 1:2

  3. 4:1

  4. 1:4

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

Vessel 1 has milk:water = 3:2 (3/5 milk, 2/5 water). Vessel 2 has milk:water = 7:3 (7/10 milk, 3/10 water). Let mixing ratio be a:b. Total milk = (3/5)a + (7/10)b, total volume = a + b. For milk:water = 2:1, we need 2/3 milk. So [(3/5)a + (7/10)b]/(a+b) = 2/3. Multiply by 30: 18a + 21b = 20a + 20b, giving b = 2a, so ratio a:b = 1:2. Option A (2:1) reverses the vessels.