Alligation or Mixture problems
In a courtyard there are many chickens and goats. If heads are counted, it comes to 100 but when legs are counted, it comes to 320. Find the number of chickens and goats in the courtyard.

50 , 50
20 , 50
30 , 70
40 , 60

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Alligation or Mixture problems
The diluted wine contains only 8 liters of wine and the rest is water. A new mixture whose concentration is 30%, is to be formed by replacing wine. How many liters of mixture shall be replaced with pure wine if there was initially 32 liters of water in the mixture?

5
None of these
8
4

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

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Alligation or Mixture problems
In what ratio must water be mixed with milk to gain 16⅔% on selling the mixture at cost price?

1 : 6
6 : 1
4 : 3
2 : 3

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