Multiple choice

A person purchases one kg of tomatoes from each of the $4$ places at the rate of 1 kg, 2 kg, 3 kg , 4 kg per rupee respectively. On the average he has purchased $x$ kg of tomatoes per rupee, then the value of x is

  1. $2$
  2. $2.5$
  3. $1.92$

  4. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total quantity = 1+1+1+1 = 4 kg. Total cost = 1/1 + 1/2 + 1/3 + 1/4 = (12+6+4+3)/12 = 25/12 rupees. Average = Total quantity / Total cost = 4 / (25/12) = 48/25 = 1.92 kg per rupee.

AI explanation

To find the average rate, we calculate the Harmonic Mean of the four rates since the quantities bought per rupee are given for equal amounts of money spent. The total cost for 4 kg of tomatoes is 1/1 + 1/2 + 1/3 + 1/4, which equals 25/12 rupees. The average quantity purchased per rupee is the total quantity divided by the total cost, giving 4 divided by (25/12), which results in 1.92 kg.

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