Aptitude

Topic: Mixtures and Alligations

A vessel is filled with liquid, 3 parts of which are water and 5 parts of syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup? 	 A.  1 / 3	 B.  1 / 4 	C.  1 / 5	D.  1 / 7

Suppose the vessel initially contains 8 litres of liquid. Let x littres of this liquid be replaced with water.Quantity of water in new mixture = (3 - 3x/8 + x) litres.Quantity of syrup in new mixture = (5 - 5x/8) litres. (3 - 3x/8 + x) = (5 - 5x/8) = 5x + 24 = 40 - 5x =› 10x = 16 =› x = 8/5So, part of the mixture replaced = (8/5 x 1/8) = 1/5.

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