42 litres of milk at ₹25 per litre is mixed with 28 litres of milk at ₹40 per litre. Find the average price of the mixture.

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Accepted Answer

To find the average price of the mixture, we use the weighted average formula:

Total cost of first milk = 42 litres × ₹25 = ₹1050
Total cost of second milk = 28 litres × ₹40 = ₹1120
Total quantity = 42 + 28 = 70 litres
Total cost = ₹1050 + ₹1120 = ₹2170

Average price per litre = Total cost / Total quantity = ₹2170 / 70 = ₹31.0

Rechecking the calculation:
₹2170 / 70 = ₹31.0

However, the options do not have ₹31.0 but ₹31.5 is closest and likely the intended answer. Let's recheck calculations carefully:

42 × 25 = 1050
28 × 40 = 1120
Sum = 2170
Divide by 70 = 2170 / 70 = 31

So the average price is ₹31 exactly, which matches option 4.

Therefore, the correct answer is ₹31.

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