Alligation or Mixture

Q 9: A container contains 30 liters of milk. From this container 3 liters 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? A)39.16 liters B)25.19 liters C)19.16 liters D)29.16 liters Answer : Option D Explanation: Amount of milk after 3 operation=[30(1-(3/30))3]liters =[40 x(9/10)x(9/10)x(9/10) ]=29.16 liters Q 10: A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture? A)10 liters B)11 liters C)12 liters D)20 liters Answer : Option A Explanation: Number of liters of water in 150 liters of the mixture = 20% of 150 = 20/100 x 150 = 30 liters. P liters of water added to the mixture to make water 25% of the new mixture. Total amount of water becomes (30 + P) and total volume of mixture is (150 + P). (30 + P) = 25/100 x (150 + P) 120 + 4P = 150 + P => P = 10 liters. Q 11: Two varieties of wheat - A and B costing Rs. 9 per kg and Rs. 15 per kg were mixed in the ratio 3 : 7. If 5 kg of the mixture is sold at 25% profit, find the profit made? A)Rs. 15 B)Rs. 14.50 C)Rs. 14 D)Rs. 16.50 Answer : Option D Explanation: Let the quantities of A and B mixed be 3x kg and 7x kg. Cost of 3x kg of A = 9(3x) = Rs. 27x Cost of 7x kg of B = 15(7x) = Rs. 105x Cost of 10x kg of the mixture = 27x + 105x = Rs. 132x Cost of 5 kg of the mixture = 132x/10x (5) = Rs. 66 Profit made in selling 5 kg of the mixture = 25/100 (cost of 5 kg of the mixture) = 25/100 * 66 = Rs. 16.50 Q 12: How much water must be added to a bucket which contains 40 liters of milk at the cost price of Rs.3.50 per liter so that the cost of milk reduces to Rs.2 per liter? A)30 Liters B)10 Liters C)35 Liters D)20 Liters Answer : Option A Explanation: Total cost price =Rs(40 x 7/2) = Rs.140 Cost per liter =Rs.2, Total quantity = 140/2 = 70 Liters. Water to be added =(70-40) =30 Liters.

« 1 2 3 »