Question

A commodity is made of two metals, A and B, which cost ₹35 per kg and ₹40 per kg, respectively, in the ratio of 2: 3. What is the cost (in ₹) of 12 kilogram of this commodity ?

• A. 228
• B. 152
• C. 456
• D. 38

Answer 1

Answer:

C. 456

Cost of metal A = ₹35/kg
Cost of metal B = ₹40/kg
Ratio = 2 : 3

Find average cost using weighted mean

$\text{Average cost} = \frac{(2 \times 35) + (3 \times 40)}{2 + 3}$

$= \frac{70 + 120}{5} = \frac{190}{5} = 38$

So, cost per kg = ₹38

Cost of 12 kg

$12 \times 38 = 456$

Total cost = ₹456