300 kg of sugar solution has 40% sugar in it. How much sugar should be added to make it 50% in the solution ?
300 kg of sugar solution has 40% sugar in it. How much sugar should be added to make it 50% in the solution ? Correct Answer 60 kg
In 300 kg of solution,Percentage of sugar = 40%
∴ Sugar = $$\frac{{300 \times 40}}{{100}}$$ = 120 kg
Let x kg of sugar be added.
Now, according to the question
$$\eqalign{ & \frac{{120 + x}}{{300 + x}} = \frac{1}{2} \cr & \Rightarrow 240 + 2x = 300 + x \cr & \Rightarrow 2x - x = 300 - 240 \cr & \Rightarrow x = 60\,{\text{kg}} \cr} $$
