| The respective ratio of milk and water in the mixture is 4: 3, respectively. If 6 L of water is added to this mixture, the respective ratio of milk and water becomes 8: 7. What is the quantity of milk in the original mixture? |
A) 96 L
B) 36 L
C) 84 L
D) 48 L
E) None of these
Correct Answer: D
Solution :
| Let the original mixture be x. |
| The ratio of milk and water is 4: 3. |
| Quantity of milk = 4x and water = 3x |
| 6 L of water is added and the ratio of milk and water become \[\frac{4x}{3x+6}=\frac{8}{7}\]\[\Rightarrow \]\[28x=24x+48\] |
| \[\Rightarrow \] \[4x=48\]\[\Rightarrow \]\[x=12\] |
| Quantity of milk in original mixture |
| \[=4x=4\times 12=48\,L\] |
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