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

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Alligation or Mixture problems
From a container of wine, a thief has stolen 15 litres of wine and replaced it with same quantity of water. He again repeated the same process. Thus, in three attempts the ratio of wine and water became 343 : 169. The initial amount of wine in the container was:

100 litres
120 litres
150 litres
75 litres

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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?

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

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