A merchant mixes two varieties of sugar of 5 kg and 3 kg, which costs him ₹4 and ₹6 per kg, respectively. What is the cost price (in ₹) of the mixture per kg?

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Accepted Answer

To find the cost price per kg of the mixture, use the weighted average formula:

Total cost = (Cost of first variety × Quantity) + (Cost of second variety × Quantity)
= (4 × 5) + (6 × 3) = 20 + 18 = 38

Total quantity = 5 + 3 = 8 kg

Cost price per kg = Total cost / Total quantity = 38 / 8 = 4.75

However, the options given do not include 4.75 as the correct answer. Let's re-check the calculation:

(4 × 5) + (6 × 3) = 20 + 18 = 38
Total quantity = 8
Cost price per kg = 38 / 8 = 4.75

Since 4.75 is option 3, it is the correct answer.

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