Correct Answer: 48 lit
Explanation:
Step 1: Let the original quantities of juice and water be 4x and 3x liters respectively.
Step 2: Add 6 liters of water
Step 3: Set up the equation
4x / (3x + 6) = 8 / 7
Step 4: Cross-multiply and solve for x
4x × 7 = 8 × (3x + 6) 28x = 24x + 48 28x - 24x = 48 4x = 48 x = 12
Step 5: Calculate original amount of juice
Juice = 4x = 4 × 12 = 48 liters
Answer: 48 liters
There were 48 liters of juice in the original mixture.
This problem demonstrates the use of ratio and proportion in real-world liquid mixture problems. It’s especially useful for aptitude exam practice where such algebraic setup is common. The trick is to assume variables using the given ratio and apply basic algebra to find the unknown quantity.
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