Multiple choice

The average weight of sugar bags was 50 kg. Later, it was found that due to some technical error in weighing scale, the 100 bags which were weighing 90 kg, had an actual weight of 60 kg each which dropped the average weight of all the bags to 45 kg. Calculate the total number of sugar bags.

  1. 150

  2. 250

  3. 600

  4. 650
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let N be the total bags. Initial total weight = 50N. New total weight = 50N - 100*(90-60) = 50N - 3000. New average = 45, so (50N - 3000)/N = 45. 50N - 3000 = 45N, 5N = 3000, N = 600.

AI explanation

Let the total number of bags be N. The initial total weight was 50N, but the actual total weight is lower because 100 bags weighed 60 kg instead of 90 kg. The error per bag is 30 kg, creating a total deficit of 100 times 30, which equals 3000 kg. This deficit dropped the average from 50 kg to 45 kg, meaning a 5 kg drop across all N bags corresponds to the 3000 kg error. Solving 5N equals 3000 gives the total number of bags as 600.

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