Question : 135 kg of alloy A is mixed with 72 kg of alloy B to get a new alloy. If alloy A has zinc and copper in the ratio 4 : 5 and alloy B has zinc and copper in the ratio 7 : 5, then what is the weight of zinc in the new alloy?
Option 1: 102 kg
Option 2: 115 kg
Option 3: 85 kg
Option 4: 92 kg
Correct Answer: 102 kg
Solution :
Given,
Quantity of A = 135 kg
Quantity of B = 72 kg
A = Zinc : Copper = 4 : 5
B = Zinc : Copper = 7 : 5
Quantity of Zinc in A = 135 $\times\frac{4}{4+5}$ = 135 $\times\frac49$ = 60 kg
And, quantity of Zinc in B = 72 $\times\frac{7}{7+5}$ = 72$\times\frac{7}{12}$ = 42 kg
$\therefore$ The weight of the Zinc in the new alloy = 60 + 42 = 102 kg
Hence, the correct answer is 42 kg.
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