The average weight of a group of 15 persons increases by 2 kg when a p...
Combined weight of the group increases by = 2 × 15 = 30 kg
So the answer = 40 + 30 = 70 kg
Hence, Option C is correct.
View all questions of this testThe average weight of a group of 15 persons increases by 2 kg when a p...
`Understanding the Problem:`
- The average weight of a group of 15 persons increases by 2 kg when a person weighing 40 kg is replaced by Saurabh.
- We need to find the weight of Saurabh.
`Solution:`
- Let the weight of Saurabh be x kg.
- According to the given information, the total increase in weight = 15 * 2 = 30 kg.
- Initially, the total weight of the group excluding Saurabh = 15 * average weight = 15 * (total weight/15) = total weight.
- After Saurabh replaces the person weighing 40 kg, the total weight of the group = total weight + 30 kg.
- Total weight after Saurabh replaces the person = total weight - 40 kg + x kg.
- Given that the average weight of the group increases by 2 kg, we have:
- (total weight - 40 + x) / 15 = (total weight / 15) + 2.
- Simplifying the equation, we get:
- total weight - 40 + x = total weight + 30.
- x = 30 + 40 = 70 kg.
Therefore, the weight of Saurabh is 70 kg. So, option C is the correct answer.