There is 26.4% sugar in the 28 ltr solution of sugar and water. After boiling 6 ltr water get evaporated from it. Then the % of left sugar in the solution?

Options

A. `29.4%`
B. `31.2%`
C. `30.8%`
D. `33.6%`

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Calculate the amount of sugar in the original solution.
The original solution has 26.4% sugar in 28 liters.

\[ \text{Amount of sugar} = \frac{26.4}{100} \times 28 = 7.392 \text{ liters} \]

### Step 2: Determine the amount of water after evaporation.
After boiling, 6 liters of water evaporate from the solution.

\[ \text{Remaining water} = 28 - 6 = 22 \text{ liters} \]

### Step 3: Calculate the new percentage of sugar in the solution.
Since the amount of sugar remains the same (7.392 liters) and the total volume of the solution is now 22 liters (after evaporation), we can find the new percentage of sugar.

\[ \text{New percentage of sugar} = \left( \frac{\text{Amount of sugar}}{\text{Remaining solution}} \right) \times 100 = \left( \frac{7.392}{22} \right) \times 100 \]

Calculating this gives:

\[ \text{New percentage of sugar} = \left( \frac{7.392}{22} \right) \times 100 \approx 33.6\% \]

### Final Answer:
The percentage of sugar left in the solution after boiling is **33.6%**.

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