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 Then 16 litres of mixture was withdrawn and again replaced by water.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? 50.36 litres 32.76 litres 96.40 litres 40.96 litres 50.36 litres 32.76 litres 96.40 litres 40.96 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 shopkeeper has 100 kgs of tea. He sells a part of it at 20% profit and the rest at 5% loss. If his overall profit is 10%, find the quantity for each part. 20 kgs 30 kgs 40 kgs 25 kgs 20 kgs 30 kgs 40 kgs 25 kgs ANSWER EXPLANATION DOWNLOAD EXAMIANS APP As per figure, we can calculate as below.Quantity sold at 20% profit = 3 / (3 + 2) × 100 = 60 kgs. Quantity sold at 5% loss = (100 ? 60) = 40 kgs.
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? 32 litres 18 litres 42 litres 24 litres 32 litres 18 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 Rs. 675 was divided among 75 boys and girls. Each boy gets Rs. 20 whereas a girl gets Rs. 5. Find the number of boys and girls. 30 , 45 20 , 55 25 , 50 15 , 60 30 , 45 20 , 55 25 , 50 15 , 60 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Average money per head (boy or girl) = Rs. (675 / 75) = Rs. 9 Number of boys = 4 / (4 + 11) × 75 = 20 Number of girls = 11 / (4 + 11) × 75 = 55.
Alligation or Mixture problems A sum of Rs. 41 was divided among 50 boys and girls. Each boy gets 90 paise and a girl 65 paise. The number of boys is ? 36 14 34 16 36 14 34 16 ANSWER DOWNLOAD EXAMIANS APP
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