The correct option is C 102.4 kg
We know that number of significant figures after addition will be equal to least number of significant figures present in any of the operand.
Therefore total weight after weight gain is 102.1+0.28=102.38kg
Now least number of significant figure present after the decimal in the operand is 1, present in 102.1 kg .
Therefore, the number of significant figures present after the calculation should also be 1 after the decimal. Hence, when we round the answer 102.38 becomes 102.4 kg
Therefore correct answer is option (C)