When I send a package, fixed rate is charged until the reference weight and proportional rate is charged to the weight exceeds the reference weight.
There are two packages of A and B of which each weight exceeds the reference weight and total weight is 50 kg.
There are two packages of A and B of which each weight exceeds the reference weight and total weight is 50 kg.
If I send each package separately, A package costs 1250 yen and B package costs 1750 yen.
But it costs 2750 yen if I send both together.
What is the weight of each ?
But it costs 2750 yen if I send both together.
What is the weight of each ?
Answer
This indicates that if I would send 50 kg all by proportional fee, it would cost 2750 - 250 =2500 yen and it is found that the proportional fee per 1 kg is 2500 yen / 50 kg = 50 yen.
Based on this, it is found that the difference weight of A and B is (1750 - 1250)/50=10 kg.
A 20 kg
B 30 kg
Solution
Total amount of the money I send each of A and B is 1250 yen +1750 yen = 3000 yen which is 250 yen more than 2750 yen which is the amount of money I send together.
This indicates that if I would send 50 kg all by proportional fee, it would cost 2750 - 250 =2500 yen and it is found that the proportional fee per 1 kg is 2500 yen / 50 kg = 50 yen.
Based on this, it is found that the difference weight of A and B is (1750 - 1250)/50=10 kg.
Therefore the weight of A is (50 -10)/2=20 kg, B is 50 - 20 = 30 kg.
