Question 64

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 kilograms of this alloy?

Solution

Since Ratio in which A and B are mixed = 3 : 1

⇒ Weight of metal A in 8 kg of alloy = 3/4 × 8 = 6 kg

⇒ Weight of metal B in 8 kg of alloy = 1/4 × 8 = 2 kg

∴ Cost of 8 kg of the alloy = 2000 × 6 + 400 × 2 = Rs. 12800

D is correct choice.

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