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300 kg of sugar solution has 40% sugar in it. How much sugar should be added to make it 50% in the solution ?

A. 40 kg

B. 50 kg

C. 60 kg

D. 80 kg

Answer: Option C

Solution(By Examveda Team)

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
$$\eqalign{ & \frac{{120 + x}}{{300 + x}} = \frac{1}{2} \cr & \Rightarrow 240 + 2x = 300 + x \cr & \Rightarrow 2x - x = 300 - 240 \cr & \Rightarrow x = 60\,{\text{kg}} \cr} $$

This Question Belongs to Arithmetic Ability >> Alligation

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