300 gm of sugar solution has 40% sugar.How much sugar should be added to make it 50% in the solution?55 gm60 gm70 gm40 gm
Question
300 gm of sugar solution has 40% sugar. How much sugar should be added to make it 50% in the solution?
- 55 gm
- 60 gm
- 70 gm
- 40 gm
Solution
First, let's find out how much sugar is already in the solution.
40% of 300 gm is 120 gm. This means there are 120 gm of sugar in the solution.
Now, we want to make the sugar 50% of the total solution. Let's denote the amount of sugar we need to add as x.
So, the total weight of the solution after adding x gm of sugar will be 300 + x gm.
We want the sugar to be 50% of this new total weight. So, we set up the equation:
120 gm (old sugar) + x gm (new sugar) = 50% of (300 gm + x gm)
Solving this equation will give us the value of x, which is the amount of sugar we need to add.
Let's solve it:
120 + x = 0.5 * (300 + x) 120 + x = 150 + 0.5x 0.5x = 30 x = 60 gm
So, we need to add 60 gm of sugar to the solution to make it 50% sugar.
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