Multiple choice

There are 5 packages. The weight of 1st package is 500 kg and the weight of the 2nd package is 50% higher than the weight of 3rd package whose weight is 45% higher than the 1st package weight. The fourth package at 360 kgs is 60% lighter than the fifth package. Find the average weight of all the five packages.

  1. 714.5 kgs

  2. 728.3 kgs

  3. 725.9 kgs

  4. 716.6 kgs

  5. None of these
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A Correct answer
Explanation

P1 = 500. P3 = 500 * 1.45 = 725. P2 = 725 * 1.5 = 1087.5. P4 = 360. P5 = 360 / (1 - 0.6) = 360 / 0.4 = 900. Average = (500 + 1087.5 + 725 + 360 + 900) / 5 = 3572.5 / 5 = 714.5.

AI explanation

The first package weighs 500 kg. The third package is 45 percent higher than the first, calculated as 500 multiplied by 1.45, which equals 725 kg. The second package is 50 percent higher than the third, calculated as 725 multiplied by 1.5, which equals 1087.5 kg. The fourth package weighs 360 kg, and since it is 60 percent lighter than the fifth package, the fifth package weighs 360 divided by 0.4, which equals 900 kg. The total weight of all five packages is 500 plus 725 plus 1087.5 plus 360 plus 900, yielding 3572.5 kg, and dividing by 5 gives an average of 714.5 kg.

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