Question

There is a 165 litres mixture (soda + water), such that ratio of quantities of soda and water in it is 6:5, respectively. How much quantity of soda should be mixed in this mixture so that the ratio of quantities of soda to that of water will become 9:5?

A 42 litres Correct Answer Incorrect Answer
B 22 litres Correct Answer Incorrect Answer
C 32 litres Correct Answer Incorrect Answer
D 45 litres Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

Quantity of soda in 165 litres of mixture = (6/11) × 165 = 90 litres Quantity of water in 165 litres of mixture = (5/11) × 165 = 75 litres According to question, Water remains same till the end of the process, So final quantity of soda in the mixture = 75 × (9/5) = 135 litres Quantity of soda to be added = 135 – 90 = 45 litres

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