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:
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Correct answer: B
Explanation
The correct answer is option 2 i.e. 82 : 111.
In two alloys, the ratio of Aluminium to Zinc is 5 : 6 and 3 : 5
242 kg of the first alloy
Aluminium in the first alloy = 5/(5 + 6) × 242 = 110 kg
Zinc in first alloy = 242 - 110 = 132 kg
144 kg of the second alloy
Aluminium in the second alloy = 3/(3 + 5) × 144 = 54 kg
Zinc in second alloy = 144 - 54 = 90 kg
Thus,
The ratio of Aluminium and zinc in the new alloy = (110 + 54) : (132 + 90)
⇒ 164 : 222 = 82 : 111