A person purchases one kg of tea powder from each of the four places A, B, C, D at the rate of 1000 per 1 kg, 2 kg, 4 kg, 5 kg. If on an average he purchased x kg of tea powder per 1000, then what is the approximate value of x?

Explanation

He buys exactly 1 kg from each of the 4 places. The cost per kg at each place is \frac{1000}{1} = 1000, \frac{1000}{2} = 500, \frac{1000}{4} = 250, and \frac{1000}{5} = 200. The total cost for 4 kg is 1000 + 500 + 250 + 200 = 1950. The average cost per kg is \frac{1950}{4} = 487.5. The amount of tea purchased per 1000 rupees is x = \frac{1000}{487.5} \approx 2.05 kg.

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