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240 L of mixture A contains milk and water in the ratio 8:7. 30 L of the mixture is taken out and replaced with the same quantity of water, and again 60 L of the mixture is taken out and replaced with the same quantity of water. 260 L of mixture B contains milk and water in the ratio 8:5. If all the quantities of mixtures A and B are mixed, then find the quantity of milk in the resultant mixture.
- 300 litres
- 265 litres
- 258 litres
- 244 litres
Correct answer: 244 litres
Solution
Mixture A initially has milk = \(240\times\frac{8}{15}=128\) L. After removing 30 L and replacing with water, milk becomes \(128\times\frac{210}{240}=112\) L; after removing 60 L and replacing again, milk becomes \(112\times\frac{180}{240}=84\) L. Mixture B has milk = \(260\times\frac{8}{13}=160\) L, so total milk = \(84+160=244\) L.
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