Two containers of equal capacity are full of mixture of milk and water. In the first, the ratio of milk to water is 3 : 7 and in the second it is 7 : 9. Now both the mixtures are mixed in a bigger container. What is the resulting ratio of milk to water?

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SSC Selection Post 2024 (Matriculation Level) Official Paper (Held On: 24 Jun, 2024 Shift 1)
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  1. 59 : 101
  2. 57 : 107
  3. 61 : 97
  4. 58 : 103

Answer (Detailed Solution Below)

Option 1 : 59 : 101
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SSC Selection Post Phase 13 Matriculation Level (Easy to Moderate) Full Test - 01
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Detailed Solution

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Given:

Two containers of equal capacity with mixtures of milk and water.

First container ratio (Milk : Water) = 3 : 7

Second container ratio (Milk : Water) = 7 : 9

Formula used:

Let the capacity of each container be V .

Total milk in first container = 

Total water in first container = 

Total milk in second container = 

Total water in second container = 

Calculations:

Total milk = 

⇒ Total milk = 

⇒ Total milk = 

⇒ Total milk = 

Total water = 

⇒ Total water = 

⇒ Total water = 

⇒ Total water = 

Resulting ratio (Milk : Water) = 

⇒ Resulting ratio (Milk : Water) = 59 : 101

∴ The correct answer is option 1.

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