Question

Price of milk of certain brand was Rs.28/litre and Rs.36/litre in the months of September and October of 2015, respectively. Assume equal amounts of money is spent on that brand of milk by a particular family in each of these months. The average monthly price of milk paid by this family during these months is ............ per litre (rounded off to one decimal place).

Hint:

The average price in this case is calculated as the simple arithmetic mean of the prices in both months.

Answer 1

Let the amount of milk consumed in both months be \( x \) litres, and the total amount spent on milk in both months is the same. In September, the total expenditure on milk is: \[ \text{Expenditure in September} = 28x \] In October, the total expenditure on milk is: \[ \text{Expenditure in October} = 36x \] Since the total amount spent in both months is the same, we calculate the average price: \[ \text{Average Price} = \frac{\text{Expenditure in September} + \text{Expenditure in October}}{2x} = \frac{28x + 36x}{2x} = \frac{64x}{2x} = 32 \] Thus, the average price of milk paid by the family during these two months is Rs. 32 per litre. Final Answer: \[ \boxed{32.0} \]