In 2 kg mixture of copper and aluminum, 30% is copper. How much aluminum powder should be added to the mixture so that the proportion of the copper becomes 20%?
Given, Weight of the mixture = 2kg = 2000 grams
Percentage of copper = 30%
$$=$$> Percentage of Aluminium = 70%
$$=$$> Weight of Aluminium = $$\frac{70}{100}\times2000=1400$$ grams
Let the weight of the Aluminium powder added = $$x$$
After the addition of Aluminium powder,
Percentage of copper = 20%
$$=$$> Percentage of Aluminium powder = 80%
According to the Problem,
$$1400+x=\frac{80}{100}\left(2000+x\right)$$
$$=$$> $$1400+x=\frac{4}{5}\left(2000+x\right)$$
$$=$$> $$7000+5x=8000+4x$$
$$=$$> $$x=1000$$ grams
$$\therefore\ $$Weight of the aluminium powder added to the mixture = 1000 grams
Hence, the correct answer is Option A
Create a FREE account and get: