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The average weight of 10 people increases by 2kg when a person weighing 50kg is replaced by a new person. What is the weight of the new person?
60kg
70kg
80kg
90kg
70kg
Multiply the number of people by the average increase and add it to the replaced person's weight: 50+(10├Ч2)=70kg.
Number of people = 10, average increase = 2kg, weight of replaced person = 50kg
New┬аweight=Replaced┬аweight+(n├ЧIncrease┬аin┬аaverage)
Multiply the number of people by the average increase and add it to the replaced person's weight: 50+(10├Ч2)=70kg.
Students often subtract the total increase instead of adding it, confusing replacement with a simple departure.
Identify Given Data
Note the number of people, the change in average weight, and the weight of the person being replaced.
n=10,╬Фavg=2kg,Replaced┬аWeight=50kg
Calculate Total Weight Change
Multiply the total number of people by the increase in average to find how much total weight was added to the group.
Total┬аIncrease=10├Ч2=20kg
Determine New Weight
Add the total increase to the weight of the replaced person to find the weight of the new person.
New┬аWeight=50+20=70kg
B is correct because the weight of the new person is 50+10├Ч2=70kg.
Similar principles of total change calculation are frequently used in mixture, alligation, and mean salary problems in competitive exams.
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