Question : The average weight of nine persons is 25 kg. If a new person joins this group, then the average weight becomes 26 kg. What is the weight of the new person?
Option 1: 35 kg
Option 2: 28 kg
Option 3: 34 kg
Option 4: 30 kg
Correct Answer: 35 kg
Solution :
The average weight of 9 persons = 25 kg
The sum of weights of 9 persons = 25 × 9 = 225 kg
The new average weight of 10 persons = 26 kg
The new sum of weights = 26 × 10 = 260 kg
Let $x$ be the weight of the new person.
So, 225 + $x$ = 260
$\therefore x$ = 260 – 225 = 35 kg
Hence, the correct answer is 35 kg.
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