Two people A and B weigh 50 kg and 60 kg respectively. If, each month, A gains 20% of their weight in the previous month and B gains 30% of their weight in the previous month, what will be the difference in their weights after 3 months?
Answers
Answer:
45.42 kg
Step-by-step explanation:
Two people A and B weigh 50 kg and 60 kg respectively. If, each month, A gains 20% of their weight in the previous month and B gains 30% of their weight in the previous month, what will be the difference in their weights after 3 months?
Weight of A = 50 kg
Weight of A after 1 month = 50 + (20/100)50 = 60 kg
Weight of A after 2 month = 60 + (20/100)60 = 72 kg
Weight of A after 3 month = 72 + (20/100)72 = 86.4 kg
Weight of B after 1 month = 60 + (30/100)60 = 78 kg
Weight of B after 2 month = 78 + (30/100)78 = 101.4 kg
Weight of B after 1 month = 101.4 + (30/100)101.4 = 131.82 kg
Difference = 131.82 - 86.4 = 45.42 kg
Answer:
Step-by-step explanation:
Weight of A = 50 kg (Given)
Weight of B = 60 kg (Given)
Percentage weight gain by A = 20% (Given)
Percentage weight gain by B = 30% (Given)
Thus,
Weight gain of A after one month = 50 + (20/100)50 = 60 kg
Weight gain of A after two months = 60 + (20/100)60 = 72 kg
Weight gain of A after three months = 72 + (20/100)72 = 86.4 kg
Similarly,
Weight gain of B after one month = 60 + (30/100)60 = 78 kg
Weight gain of B after two months = 78 + (30/100)78 = 101.4 kg
Weight gain of B after three month = 101.4 + (30/100)101.4 = 131.82 kg
The highest weight of A = 86.4 and that of B = 131.82
Thus, the difference = 131.82 - 86.4 = 45.42 kg
Hence, the difference in the weights of A and B after 3 months will be 45.42kg.