Correct Answer - Option 1 : 55.56%
Given:
THe
Ratio of tin and silver in alloy A = 4 : 5
Ratio of tin and silver in alloy B = 2 : 1
Concept Used:
Required Percentage = Quantity of zinc/Total quantity of mixture × 100
Calculation:
Ratio of zinc and tin in alloy P = 4 : 5 ---- (1)
Ratio of zinc and tin in alloy Q = 2 : 1 ----(2)
Multiplying (2) by 3, we get
Ratio of zinc and tin in alloy Q = 6 : 3 ----(3)
Adding (2) and (3), we get
Ratio of zinc and tin in alloy R = (4 + 6) : (5 + 3) = 10 : 8
Percentage of zinc in alloy R = (10/(10 + 8)) × 100 = (10/18) × 100 = 55.56%
∴ The percentage of zinc in alloy R is 55.56%.