The average weight of 8 people increases by 2.5kg when a new person comes in place of one of them weighing 75kg. What is the weight of the new person?
- A95 kg
- B75 kg
- C85 kg
- D65 kg
Solution & Step-by-step Explanation
Let the weight of the new person be W.
The total increase in weight for all 8 people combined is:
Total increase=Number of people×Increase in average
Total increase=8×2.5=20kg
Since the average weight increases, the weight of the new person must be greater than the weight of the person who left by the amount of total weight increase.
Weight of new person=Weight of replaced person+Total increase
Weight of new person=75+20=95kg
The total increase in weight for all 8 people combined is:
Total increase=Number of people×Increase in average
Total increase=8×2.5=20kg
Since the average weight increases, the weight of the new person must be greater than the weight of the person who left by the amount of total weight increase.
Weight of new person=Weight of replaced person+Total increase
Weight of new person=75+20=95kg