Alloy A contains copper and zinc in the ratio 4:5 and alloy B contains copper and zinc in the ratio 7:2. A and B are taken in the ratio 7:4 and melted to form a new alloy. The percentage of zinc in the new alloy is closest to:
Ratio of copper to zinc in alloy A = 4x ∶ 5x ----(1) Ratio of copper to zinc in alloy B = 7x ∶ 2x ----(2) Multiply by 7 in equation (1) and multiply by 4 in equation (2) Ratio of copper to zinc in alloy A = 28x ∶ 35x Ratio of copper to zinc in alloy B = 28x ∶ 8x Ratio of copper to zinc in new alloy = (28x + 28x) ∶ (35x ∶ 8x) = 14x ∶ 9x Percentage of zinc in new alloy = [9/(14 + 9)] × 100 = 39% (approx)
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