Mass percentage of cane sugar = 25
We know that,
Masspercentage=MassofsolutionMassofsolute​×100
So, 25=250Massofcanesugar​×100
or
Massofcanesugar=10025×250​=62.5g
Mass of water = (250-62.5)=187.5 g

Calculation of Mass of Sugar and Water for a 40% Solution

To calculate the mass of sugar and water required to make a 40% solution, we need to follow these steps:

1. Understand the meaning of a 40% solution:
- A 40% solution means that 40 grams of the solute (sugar) is present in 100 grams of the solution.
- The remaining 60 grams of the solution is the solvent (water).

2. Determine the total mass of the solution:
- We are given that the total mass of the solution is 250 grams.
- The mass of the solute (sugar) and the solvent (water) will add up to 250 grams.

3. Calculate the mass of sugar:
- Since a 40% solution means that 40 grams of sugar is present in 100 grams of the solution, we can set up a proportion to find the mass of sugar required for 250 grams of the solution.
- Let "x" be the mass of sugar required.
- We can set up the proportion as: 40 grams / 100 grams = x grams / 250 grams.
- Cross-multiplying, we get: 100x = 40 * 250.
- Solving for x, we find: x = (40 * 250) / 100.
- Evaluating the expression, we get: x = 100 grams.
- Therefore, 100 grams of sugar is required to make a 40% solution of 250 grams.

4. Calculate the mass of water:
- The remaining mass of the solution after adding the sugar will be the mass of water.
- Mass of water = Total mass of the solution - Mass of sugar
- Mass of water = 250 grams - 100 grams (mass of sugar)
- Mass of water = 150 grams.

Summary:

To make a 250-gram solution with a 40% sugar concentration, we need to use 100 grams of sugar and 150 grams of water. The mass of sugar is calculated using the given percentage and the total mass of the solution, while the mass of water is obtained by subtracting the mass of sugar from the total mass of the solution.