Multiple choice

There are five boxes in a truck. The weight of the first box is 300 kg and the weight of the second box is 20% higher than the weight of the third box, whose weight is 25% higher than the first box’s weight. The fourth box at 400 kg is 20% lighter than the fifth box. Find the difference in the average weight of the four heaviest boxes and the four lightest boxes.

  1. 60

  2. 50

  3. 80

  4. 90

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Box 1 = 300 kg. Box 3 = 300 × 1.25 = 375 kg. Box 2 = 375 × 1.2 = 450 kg. Box 4 = 400 kg, which is 20% lighter than Box 5, so 400 = 0.8 × Box 5, giving Box 5 = 500 kg. Sorted: 300, 375, 400, 450, 500. Average of 4 lightest = (300+375+400+450)/4 = 381.25 kg. Average of 4 heaviest = (375+400+450+500)/4 = 431.25 kg. Difference = 50 kg. Option A gives 60. Option C gives 80. Option D gives 90.