25% of water is evaporated from 10 litres of water containing 150 gm of common salt, the % of salt in remaining solution is increased by how much?
To find out the percentage of salt in the remaining solution after 25% of water is evaporated, we need to calculate the total amount of salt in the original solution and then find the new concentration after the evaporation.
Step 1: Calculate the amount of salt in the original solution:
The original solution contains 150 gm of common salt.
Step 2: Calculate the new volume of the solution after 25% of water is evaporated:
25% of 10 liters is 0.25 * 10 = 2.5 liters.
So, after the evaporation, the remaining solution will have 10 - 2.5 = 7.5 liters.
Step 3: Calculate the new concentration of salt in the remaining solution:
To find the new concentration, we need to divide the amount of salt by the new volume of the solution.
The new concentration of salt = (Amount of salt in the original solution) / (New volume of the solution) * 100
New concentration of salt = (150 gm) / (7.5 liters) * 100
Step 4: Simplify and calculate the new concentration of salt:
New concentration of salt = 20 gm/liter * 100
New concentration of salt = 2000 gm/ liter
Step 5: Calculate the percentage increase in the concentration of salt:
Percentage increase in the concentration of salt = (New concentration of salt - Original concentration of salt) / Original concentration of salt * 100
Percentage increase in the concentration of salt = (2000 gm/liter - 150 gm/liter) / 150 gm/liter * 100
Step 6: Simplify and calculate the percentage increase in the concentration of salt:
Percentage increase in the concentration of salt = (1850 gm/liter) / 150 gm/liter * 100
Percentage increase in the concentration of salt = 1233.33%
Therefore, the percentage of salt in the remaining solution is increased by approximately 1233.33%.
To find the percentage increase in the amount of salt in the remaining solution, we first need to calculate the amount of salt remaining after the water has evaporated.
1. Calculate the amount of water evaporated:
Given that 25% of the water has evaporated, we can find the amount of water evaporated as:
25% of 10 liters = 0.25 * 10 liters = 2.5 liters
2. Calculate the remaining water:
The initial amount of water was 10 liters, and 2.5 liters have evaporated. Therefore, the remaining water is:
10 liters - 2.5 liters = 7.5 liters
3. Calculate the initial amount of salt:
The initial solution contained 150 grams of common salt.
4. Calculate the remaining amount of salt:
Since the amount of water evaporated, the salt content remains the same. So, the remaining amount of salt is still 150 grams.
5. Calculate the percentage increase in salt:
To find the percentage increase in salt, we compare the initial amount with the remaining amount using the following formula:
Percentage increase = (Change in value / Initial value) * 100
Change in value = Remaining amount of salt - Initial amount of salt
Initial value = Initial amount of salt
Change in value = 150 grams - 150 grams = 0 grams
Percentage increase = (0 grams / 150 grams) * 100 = 0%
Therefore, the percentage of salt in the remaining solution has not increased or decreased, it remains the same as the initial concentration.