A solution contains 10% salt and remaining is water. If 30𝓁𝑙 of water is evaporated, then salt becomes 15% find the initial solution.60𝓁𝑙105𝓁𝑙120𝓁𝑙90𝓁

The problem states that a solution contains 10% salt and the rest is water. When 30 liters of water is evaporated, the salt concentration becomes 15%. We are asked to find the initial volume of the solution.

Let's denote the initial volume of the solution as V (in liters).

Step 1: Calculate the initial amount of salt Since the solution initially contains 10% salt, the amount of salt in the solution is 0.10 * V.

Step 2: Calculate the final amount of salt After 30 liters of water is evaporated, the salt concentration becomes 15%. However, the amount of salt doesn't change because only water is evaporated. So, the amount of salt is still 0.10 * V.

Step 3: Set up the equation The final volume of the solution is (V - 30) liters (because 30 liters of water is evaporated). Since the salt concentration in this is 15%, we can write the equation as: 0.15 * (V - 30) = 0.10 * V

Step 4: Solve the equation Solving the above equation will give us the initial volume of the solution, V.

0.15V - 4.5 = 0.10V 0.05V = 4.5 V = 4.5 / 0.05 V = 90 liters

So, the initial volume of the solution was 90 liters.