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The ratio of water and milk in a 27 litre mixture is 5:4. Find the quantity…

Paper 1 · Mathematical Reasoning and Aptitude UGC NET December 2023 (12.12.2023) Shift-I
The ratio of water and milk in a 27 litre mixture is 5:4. Find the quantity of water to be added to the mixture in order to make the ratio of water and milk as 3:1.
A12 litres
B15 litres
C21 litres ✓ Correct
D36 litres
Correct answer: (C) 21 litres — The quantity of water to be added is 21 litres, so that is the answer.
Explanation
The quantity of water to be added is 21 litres, so that is the answer.
In the 27 litre mixture the ratio of water to milk is 5 to 4.
So water is 5 by 9 of 27, which is 15 litres, and milk is 12 litres.
Let x litres of water be added to make the new ratio 3 to 1.
Then 15 plus x over 12 equals 3, so 15 plus x is 36.
Solving gives x equal to 21 litres.

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