Final answer:
The percentage increase in the man's mass is calculated by dividing the increase in mass (6 kg) by the original mass (82 kg) and then multiplying by 100%. The result is 7.32%.
Step-by-step explanation:
To calculate the percentage increase in the man's mass, we first determine the absolute increase. The man's mass went from 82 kg to 88 kg, which is an increase of 88 kg - 82 kg = 6 kg. Next, we use the formula for percentage increase: Percentage Increase = (Increase / Original value) x 100% = (6 kg / 82 kg) x 100%. Performing the calculation: Step 1: (6 kg / 82 kg) = 0.07317 (rounded to five decimal places), Step 2: 0.07317 x 100% = 7.32%. Therefore, the percentage increase in his mass is 7.32%, which corresponds to option (b) 7.32%.