Question
A vessel holds (p + 200) liters
of milk and p liters of honey. When 110 liters of honey and 50 liters of milk are added to the vessel, the ratio of milk to honey in the mixture becomes 5:3. What % of the initial mixture does the initial quantity of honey represent?Solution
ATQ, (p + 200 + 50)/(p + 110) = 5/3 (p + 250) × 3 = (p + 110) × 5 3p + 750 = 5p + 550 2p = 200 p = 100 Initial quantity of honey = 100 liters Initial quantity of mixture = 100 + 200 + 100 = 400 liters Required % = (100/400) × 100 = 25%
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