A vessel of 160 L is filled with a mixture of milk and water. 70% of the milk and 30% of the water are…
The mixture held 100 L of milk and 60 L of water. Let milk be m litres, so water is 160 − m. The amount removed is 55% of 160 = 88 L, so 0.7m + 0.3(160 − m) = 88, giving…
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A vessel of 160 L is filled with a mixture of milk and water. 70% of the milk and 30% of the water are taken out of the vessel, and it is found that the vessel is now 55% empty. What were the quantities of milk and water in the original mixture?
Answer and explanation
Correct answer A
The mixture held 100 L of milk and 60 L of water. Let milk be m litres, so water is 160 − m. The amount removed is 55% of 160 = 88 L, so 0.7m + 0.3(160 − m) = 88, giving 0.4m = 40 and m = 100. Check: 70 L of milk plus 18 L of water = 88 L. Reversing the quantities would remove only 0.7 × 60 + 0.3 × 100 = 72 L.
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Common Management Admission Test (CMAT)