Average weight of 10 people increased by 1.5 kg when one person of 45 kg is replaced by a new man. Then weight of the new man is

Options

A. 50
B. 55
C. 6
D. 65

Answer

To solve the problem, we need to find the weight of the new man who replaces a person weighing 45 kg, given that the average weight of 10 people increases by 1.5 kg. Here’s the step-by-step solution:

### Step 1: Understand the change in average weight
The average weight of 10 people increases by 1.5 kg. This means that the total weight of the group has increased.

**Hint:** Remember that the average is calculated by dividing the total weight by the number of people.

### Step 2: Calculate the total increase in weight
Since the average weight of 10 people increased by 1.5 kg, the total increase in weight can be calculated as follows:
\[ \text{Total increase in weight} = \text{Number of people} \times \text{Increase in average weight} \]
\[ \text{Total increase in weight} = 10 \times 1.5 = 15 \text{ kg} \]

**Hint:** Multiplying the number of people by the increase in average gives you the total increase in weight.

### Step 3: Determine the weight of the new man
When the person weighing 45 kg is replaced, the total weight of the group increases by 15 kg. Therefore, the weight of the new man can be calculated as follows:
\[ \text{Weight of new man} = \text{Weight of old man} + \text{Total increase in weight} \]
\[ \text{Weight of new man} = 45 \text{ kg} + 15 \text{ kg} = 60 \text{ kg} \]

**Hint:** The new man's weight is the old man's weight plus the total increase in weight.

### Conclusion
The weight of the new man is **60 kg**.

**Final Answer:** 60 kg