Question:
A 40 litre mixture contains milk and water in the ratio 3:1. The quantity of water that must be added so that the ratio becomes 3:2 is
A 40 litre mixture contains milk and water in the ratio 3:1. The quantity of water that must be added so that the ratio becomes 3:2 is
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Milk is unchanged; set water equal to two-thirds of the milk, then subtract what is already present.
Updated On: Jul 8, 2026
- 6 litres
- 8 litres
- 5 litres
- 10 litres
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The Correct Option is D
Solution and Explanation
Step 1: Split the mixture.
Milk \(=\dfrac{3}{4}\times40=30\) litres; water \(=10\) litres.
Step 2: Milk stays fixed; find required water.
For \(3:2\), water \(=\dfrac{2}{3}\times\textrm{milk}=\dfrac{2}{3}\times30=20\) litres.
Step 3: Water to be added.
\(20-10=10\) litres.
\[\boxed{10\ \textrm{litres}}\]
Milk \(=\dfrac{3}{4}\times40=30\) litres; water \(=10\) litres.
Step 2: Milk stays fixed; find required water.
For \(3:2\), water \(=\dfrac{2}{3}\times\textrm{milk}=\dfrac{2}{3}\times30=20\) litres.
Step 3: Water to be added.
\(20-10=10\) litres.
\[\boxed{10\ \textrm{litres}}\]
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