Question
A container contains 64 litres of pure milk. From this container 8 litres of milk is taken out and is replaced with same quantity of water. This process is further repeated one time. How much milk is left in the container now?
Solution
Quantity of milk in container after first replacement = 64 - 8 = 56 litres Quantity of water in container after first replacement = 8 litres Ratio of quantity of milk to that of water in the container after first replacement = 56:8 = 7:1 Quantity of milk in 8 litres of mixture taken out in second replacement = (7/8) X 8 = 7 litres So, quantity of milk in the container finally = 56 - 7 = 49 litres Alternate solution If from 'P' litres of pure quantity of liquid 'A', 'q' litres is withdrawn and is replaced by same quantity of another liquid 'B' and the process is repeated 'n' times, then quantity of liquid 'A' left in the mixture can be given by: P X {1 - (q/P)}n So, required quantity of milk = 64 X (1 – 8/64)2 = 64 X (1 - 1/8)2 = 64 X {(7 x 7)/(8 x 8)} = 49 litres
- In a mixture of milk & water, 60 litres water is mixed due to which ratio changes from 3 : 4 to 1 : 2. Find initial quantity of mixture. (in litres)
- There are two containers having equal quantities of mixtures of two chemical types A and B. The 1st container contains 30% of type A chemical whereas the 2...
- A 200 ml mixture of milk and water has a milk to water ratio of 1:4. If 'x' ml of milk is added such that the new ratio is 1:1, find 'x'.
- A container X has (20 + x) litres of pure milk. Another container Y has 40 litres of a solution with 30% milk and the rest water. All the liquid from both ...
- In a vessel, the ratio of milk to water is 4:3. After removing 105 ml of mixture and adding 210 ml of water, the quantity of water becomes 125% more than m...
- Mixtures A and B have milk and water in ratio 3:5 and 2:3 respectively. 40 ml from A and 45 ml from B are mixed. Find the percentage of water in the final ...
- A container initially contains 40 liters of petrol and an unknown quantity of diesel. Then 25% of the mixture is removed and poured into another container ...
- A vessel contains 270 litres of milk and water in the ratio of 5:4. If 15 litres of milk is added to the mixture, then find the ratio of milk to water in t...
- A 40 L mixture of milk and water has milk:water = 3:2. How much water should be added to make milk:water = 3:4?
- 150 litres of mixture ‘A’ has 90 litres milk and rest water. Find the total quantity of mixture ‘B’ if it contains 20% more milk and 20% less water than mi...
Relevant for Exams:
