Question : In two alloys, the ratio of Aluminium to Zinc is 5 : 6 and 3 : 5. If 242 kg of the first alloy and 144 kg of the second alloy are mixed, then the ratio of Aluminium and Zinc in the new alloy will be:
Option 1: 76 : 117
Option 2: 82 : 111
Option 3: 93 : 100
Option 4: 68 : 125
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Correct Answer: 82 : 111
Solution :
Given:
The ratio of Aluminium to Zinc in two alloys is $5: 6$ and $3: 5$.
242 kg of the first alloy to be taken.
Aluminium in the first alloy = $\frac{5}{5+6}×242=110$ kg
Zinc in the first alloy = $\frac{6}{5+6}×242=132$ kg
144 kg of the second alloy to be taken.
Aluminium in the second alloy = $\frac{3}{3+5}×144=54$ kg
Zinc in the second alloy = $\frac{5}{3+5}×144=90$ kg
The ratio of Aluminium and Zinc in the new alloy
= (110 + 54) : (132 + 90)
= 164 : 222
= 82 : 111
So, the ratio of Aluminium and Zinc in the new alloy will be 82 : 111.
Hence, the correct answer is 82 : 111.
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