A container contains milk and water in the ratio of 3 : 2 respectively. 25 liters of mixture is drawn off and replaced by 15 ltrs of water, there after ratio of milk and water becomes 3 : 7. Find original quantity of the milk in the mixture.
Answer & explanation
Correct answer: option 3
M : W
3 : 2
25 liters of mixture contains:
Milk = \(\frac{25}{5}\) × 3 = 15
Water = \(\frac{25}{5}\) × 2 = 10
ATQ,
\(\frac{3x - 15}{2x - 10 + 15}\) = \(\frac{3}{7}\)
⇒ 21x - 105 = 6x + 15
⇒ 15x = 120
⇒ x = 8
Original quantity of milk = 3x = 3 × 8 = 24 liters