Averages , Ratio and Proportion Question 3 - CAT 2021
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:
Step-by-Step Explanation
- Assume smart baseline values for monthly expenditure:
Let the family spend ₹100 each month for the first 3 months, and half that amount, ₹50 each month, for the next 2 months.
Total Expenditure = 100 + 100 + 100 + 50 + 50
= ₹400
- Calculate the quantities bought based on the varying monthly rates:
Month 1 (at ₹10/kg):
100/10 = 10 kg
Month 2 (at ₹20/kg):
100/20 = 5 kg
Month 3 (at ₹25/kg):
100/25 = 4 kg
Month 4 (at ₹25/kg):
50/25 = 2 kg
Month 5 (at ₹50/kg):
50/50 = 1 kg
Total Quantity Purchased = 10 + 5 + 4 + 2 + 1
= 22 kg
- Compute the overall average price per kg:
Average Price = Total Expenditure/Total Quantity
= 400/22 ≈ 18.18 ≈ ₹18 per kg
Correct Option: B