a) 37.5 kg
b) 51.5 kg
c) 75 kg
d) 112.5 kg
Answer: c
Explanation: 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
70% of x = 350 kg
$$\eqalign{
& x = \left( {\frac{{350 \times 100}}{{70}}} \right) \cr
& x = 500{\text{ kg}} \cr} $$.
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
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