Alligation or Mixture problems
The milk and water in two vessels are in the ratio of 3 : 1 and 7 : 11 respectively. In what ratio should the liquid in both the vessels be mixed to obtaina new mixture containing half milk and half water?

4 : 7
1 : 1
4 : 9
5 : 7

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Alligation or Mixture problems
A person has Rs. 5000. He invests a part of it at 3% per annum and the remainder at 8% per annum simple interest. His total income in 3 years is Rs. 750. Find the sum invested at different rates of interest.

Rs. 3000 and Rs. 2000
Rs. 2500 and Rs. 2500
Rs. 2750 and Rs. 2250
Rs. 2000 and Rs. 3000

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Alligation or Mixture problems
8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is 16 : 65. How much wine did the cask hold originally?

42 litres
32 litres
24 litres
18 litres

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