Question:medium

Onion is sold for 5 consecutive months at the rate of Rs 10, 20, 25, 25, and 50 per kg, respectively. A family spends a fixed amount of money on onion for each of the first three months, and then spends half that amount on onion for each of the next two months. The average expense for onion, in rupees per kg, for the family over these 5 months is closest to

Updated On: Jan 15, 2026
  • 18
  • 26
  • 16
  • 20
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The Correct Option is A

Solution and Explanation

The family's monthly onion expenditure is Rs. 100 for the first three months and Rs. 50 for the next two months. Over the first five months, they purchase 10, 5, 4, 2, and 1 kilograms of onions, totaling 22 kilograms. The cumulative spending for this period is Rs. 400.

Step 1: Calculating the Average Cost per Kilogram

The average cost per kilogram of onions is calculated using the formula: \[ \text{Average Expense} = \frac{\text{Total Expenditure}}{\text{Total Amount Bought}} \] With the provided data: \[ \text{Average Expense} = \frac{400}{22} \approx 18 \, \text{rupees per kilogram}. \]

Final Answer:

The average cost per kilogram is Rs. \( \boxed{18} \).

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