One litre of water is evaporated from 6 litre of a solution containing 5% salt. The percentage of salt is

Options

A. `4 4/9%`
B. `5 5/3%`
C. `5%`
D. `6%`

Answer

To solve the problem step by step, we need to find the percentage of salt in the solution after 1 liter of water is evaporated from the original 6 liters of solution containing 5% salt.

### Step 1: Calculate the amount of salt in the original solution.
The original solution is 6 liters and contains 5% salt.

To find the amount of salt:
\[ \text{Amount of salt} = \text{Total volume of solution} \times \text{Percentage of salt} \]
\[ \text{Amount of salt} = 6 \, \text{liters} \times \frac{5}{100} = 0.3 \, \text{liters} \]

### Step 2: Determine the new volume of the solution after evaporation.
After evaporating 1 liter of water from the original 6 liters, the new volume of the solution is:
\[ \text{New volume} = 6 \, \text{liters} - 1 \, \text{liter} = 5 \, \text{liters} \]

### Step 3: Calculate the new percentage of salt in the solution.
The amount of salt remains the same (0.3 liters), but the volume of the solution has changed to 5 liters.

To find the new percentage of salt:
\[ \text{New percentage of salt} = \left( \frac{\text{Amount of salt}}{\text{New volume of solution}} \right) \times 100 \]
\[ \text{New percentage of salt} = \left( \frac{0.3 \, \text{liters}}{5 \, \text{liters}} \right) \times 100 = 6\% \]

### Final Answer:
The percentage of salt in the solution after evaporating 1 liter of water is **6%**.

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