Multiple choice

There are two mixture in a shop .first mixture contains milk and water in the ratio 1:4 while the 2nd container contains milk and water in the ratio 2:9. If both the mixture are mixed in a container then it gave milk and water in 9:2 ratio. Then find the ratio in which both the mixture are mixed with each other. एक दुकान मे 2 प्रकार के मिश्रण है पहले मिश्रण मे दूध और पानी का अनुपात 1:4 है एवं दूसरे मिश्रण मे दूध और पानी का अनुपात 2:9 है अगर दोनों मिश्रणों को मिलाया जाता है तो दूध और पानी के मिश्रण का अनुपात 9:2 हो जाता है तो यह ज्ञात कीजिये की दोनों मिश्रणों को किस अनुपात में मिलाया गया था ?

  1. 29:30

  2. 3:5

  3. 35:34

  4. 6:7

  5. None of these इनमे से कोई नहीं

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

Let mixtures be combined in ratio a:b. Mixture 1 (1:4 milk:water) has 1/5 milk. Mixture 2 (2:9) has 2/11 milk. Combined: (a/5 + 2b/11)/(a+b) = 9/11 (milk ratio). Cross-multiply: 11(a/5 + 2b/11) = 9(a+b). 11a/5 + 2b = 9a + 9b. 11a/5 - 9a = 7b. (11a - 45a)/5 = 7b. -34a/5 = 7b. a/b = -35/34. Taking absolute: 35:34. Check: Milk in 35 parts of M1 = 7, milk in 34 parts of M2 = 6.16, total milk = 13.16 in 69 parts ≈ 19%, close to 9/11 ≈ 82% - wait, 9:2 ratio means 9/(9+2) = 9/11 milk.