Question

The average weight of $8$ men is increased by $1.5$ kg, when one of the men who weight $65$ kg is replaced by a new man. The weight of the new man is

• A. $70$ kg
• B. $74$ kg
• C. $76$ kg
• D. $77$ kg

Answer 1

Answer: (D)

$77$ kg

Let the weight of new man be $a$ kg
Now, new total weight $=$ Old Total weight $-65+a$
Given, $\frac{\text{New total weight}}{8}-\frac{\text{Old total weight}}{8}=1.5$
New total weight $-$ old total weight $=1.5\times 8=12$
Old Total weight $-65+a-$ old total weight $=12$
$\Rightarrow a=77$ kg