Instructions

Each question is followed by two statements, I and II. Mark the answer

Question 77

# What is the ratio of the two liquids A and B in the mixture finally, if these two liquids kept in three vessels are mixed together? (The containers are of equal volume.) I. The ratio of liquid A to liquid B in the first and second vessel is 3 : 5, 2 : 3 respectively. II. The ratio of liquid A to liquid B in vessel 3 is 4:3.

Solution

The proportions of liquid A in vessels 1, 2 and 3 are $$\frac{3}{8}$$, $$\frac{2}{5}$$ and $$\frac{4}{7}$$ respectively.

LCM of 8, 5 and 7 is 280 => Assume each container ha 280 litres.

=> Quantity of liquid A in vessels 1, 2 and 3 are 105, 112 and 160 respectively.

=> Total volume of A = 377 litres

Total volume of B = 840 - 377 = 463 litres

Hence, ratio can be found using both the statements and neither statement alone can be used to find the ratio.

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