Question:
A mixture of 40 litres of milk and water contains $10%$ water. How much water is to be added so that the water may be $20%$ in the new mixture?
A mixture of 40 litres of milk and water contains $10%$ water. How much water is to be added so that the water may be $20%$ in the new mixture?
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When only one component is added, set up “new-part/new-total = target %” and solve; the other component stays constant.
Updated On: Aug 12, 2025
- 5 Litres
- 4 Litres
- 6.5 Litres
- 7.5 Litres
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The Correct Option is A
Solution and Explanation
Step 1: Initially water $=10%\times40=4$ L, milk $=36$ L. Let $x$ L water be added.
Step 2 (Form equation): $\dfrac{4+x}{40+x}=0.20 \Rightarrow 4+x=8+0.2x \Rightarrow 0.8x=4$.
Step 3: $x=\boxed{5\text{ L}}$.
Step 2 (Form equation): $\dfrac{4+x}{40+x}=0.20 \Rightarrow 4+x=8+0.2x \Rightarrow 0.8x=4$.
Step 3: $x=\boxed{5\text{ L}}$.
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