Alligation or Mixture problems A mixture of 20 kg of spirit and water contains 10 % water. How much water must be added to this mixture to raise the percentage of water to 25 %? 5 kg 4 kg 8 kg 30 kg 5 kg 4 kg 8 kg 30 kg ANSWER DOWNLOAD EXAMIANS APP
Alligation or Mixture problems A cask full of wine from which 8 litres are drawn and is then filled with water. This operation is performed three more times. The ratio of quantity of wine left in the cask to that of the water is 16: 81. How much wine did the cask hold originally? 18 litres 32 litres 42 litres 24 litres 18 litres 32 litres 42 litres 24 litres ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let A liters wine cask hold originally, then A[1 - (8 / A)]4 / A = 16 / 81 ? (1 - (8 / A))4 = (2 / 3 )4 ? (1 - (8 / A)) = (2 / 3) ? (8 / A) = (1 - (2 /3)) ? (8 / A) = (1 / 3)? A = 24 liters
Alligation or Mixture problems In a mixture of milk and water, there is 19% milk. If the quantity of milk in the mixture is 437 mililitres, then what is the total quantity (in millilitres) of mixture? 2400 2300 2350 2200 2400 2300 2350 2200 ANSWER DOWNLOAD EXAMIANS APP
Alligation or Mixture problems A vessel contains 80 litres of milk. 16 litres of milk was taken out of the vessel and replaced by water. Then 16 litres of mixture was withdrawn and again replaced by water. The operation was repeated for third time. How much milk is now left in the vessel? 32.76 litres 96.40 litres 40.96 litres 50.36 litres 32.76 litres 96.40 litres 40.96 litres 50.36 litres ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Amount of milk left = 80 [1 - (16 / 80)]3 = 80 (4 / 5)3 80 × (64 / 125) = 40.96 liters.
Alligation or Mixture problems A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container? 27.36 litres 26.34 litres 28 litres 29.16 litres 27.36 litres 26.34 litres 28 litres 29.16 litres ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Amount of milk left after 3 operations = [ 40 ❨ 1 - 4 ❩ 3 ] litres 40 = ❨ 40 x 9 x 9 x 9 ❩ = 29.16 litres.
Alligation or Mixture problems A milkman buys milk at Rs 25 per litre and adds 1/4 of water to it and sells the mixture at Rs 26 per litre. His gain (in %) is? 25 30 20 15 25 30 20 15 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let initial quantity be Q, and final quantity be F F = Q(1 - 8/Q) 4 => Q = 20
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