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There are five boxes in a cargo hold. The weight of the first box is 200 kg and the weight of the second box is 20% more than the weight of third box, whose weight is 25% more than the first box’s weight. The fourth box at 350 kg is 30% lighter than the fifth box. The difference in the average weight of the four heaviest boxes and the four lightest boxes is-
- A. 37.5 kg
- B. 51.5 kg
- C. 75 kg
- D. 112.5 kg
Answer: Option C
Here is complete explanation of There are five boxes in a cargo hold The weight of….
Solution(By ExamCraze Team)
Weight of first box = 200 kg
Weight of third box
= 125 % of 200 kg
= 250 kg
Weight of second box
= 120% of 250 kg
= 300 kg
Weight of fourth box = 350 kg
Let the weight of fifth box be x kg
Then, 70% of x = 350 kg
$$eqalign{
& Rightarrow x = left( {frac{{350 times 100}}{{70}}} right) cr
& Rightarrow x = 500{text{ kg}} cr} $$.
Average weight of four heaviest boxes
$$eqalign{
& {text{ = }}left( {frac{{500 + 350 + 300 + 250}}{4}} right){text{kg}} cr
& {text{ = 350 kg}} cr} $$
Average weight of four lightest boxes
$$eqalign{
& = left( {frac{{200 + 250 + 300 + 350}}{4}} right){text{kg}} cr
& = 275{text{ kg}} cr} $$
∴ Required difference
= (350 - 275)
= 75 kg
