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Q: Three equal glassed are filled with mixtures of spirit and water. The proportion of spirit to water in each glass is as follows: in the first glass as 2:3, in the second glass as 3:4 and in the third glass as 4:5. The content of the three are emptied into a single vessel. What is the proportion of spirit and water?
A. 401 : 544 B. 300 : 544
C. 412 : 544 D. 232:300

Answer and Explanation

Answer:401 : 544

Explanation:
Let the volumes of all the glasses be 10 liters
Glass1 Spirit= 4 ,Water = 6, Total= 10
Glass2 Spirit= 30/7 ,Water = 40/7, Total= 10
Glass3 Spirit= 40/9 ,Water = 50/9, Total= 10

Mixture Spirit= 802/63 ,Water = 1088/63, Total= 30

Spirit : Water = 803 : 1088 = 401 : 544

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