Question : An alloy is made by mixing metal A, costing Rs. 2000/kg, and metal B, costing Rs. 400/kg, in the ratio A : B = 3 : 1. What is the cost (in Rs.) of 8 kg of this alloy?
Option 1: 1600
Option 2: 9800
Option 3: 6400
Option 4: 12800
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Correct Answer: 12800
Solution :
Given: Metals A and B mixed in the ratio A : B = 3 : 1
Metal A costs Rs. 2000/kg and metal B costs Rs. 400/kg.
Quantity of metal A in alloy of 8 kg = $\frac{3}{4}$ × 8 = 6 Kg
Quantity of metal B in the alloy of 8 kg = $\frac{1}{4}$ × 8 = 2 kg
Cost of metal A = 2000 × 6 = Rs. 12000
Cost of metal B = 400 × 2 = Rs. 800
$\therefore$ The total cost of the alloy of 8 kg = 12000 + 800 = Rs. 12800
Hence, the correct answer is 12800.
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