CAT 2021 Slot 1 · Quant · Question 13

CAT 2021 Slot 1 previous year question on Averages, Mixture and Alligation, with the answer and a step-by-step solution.

Averages, Mixture and AlligationArithmeticMultiple choiceMedium
Onion is sold for 5 consecutive months at the rate of ₹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 ₹ per kg, for the family over these 5 months is closest to
  1. A
    16
  2. B
    26
  3. C
    20
  4. D
    18
Pick an option, then check.
Answer & solution

Answer: Option D

Suppose the family spends ₹100 in each of the first three months and ₹50 in each of the last two. The quantities bought are \frac{100}{10}=10, \frac{100}{20}=5, \frac{100}{25}=4, \frac{50}{25}=2 and \frac{50}{50}=1 kg, a total of 22 kg. The total spend is ₹400, so the average is \frac{400}{22}\approx 18.

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