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In this question, we are given the symptoms of excessive vomiting and diarrhoea and we need to determine which substance could potentially decrease in the person`s blood serum.
Option 1: Calcium - Excessive vomiting and diarrhoea do not directly cause a decrease in calcium levels in the blood serum. Therefore, we can eliminate this option.
Option 2: Iron - While excessive vomiting and diarrhoea can lead to iron deficiency due to decreased absorption of nutrients, the question does not specify whether the person has an iron deficiency. Therefore, we cannot definitively state that there will be a decrease in iron levels.
Option 3: Sodium - Excessive vomiting and diarrhoea can result in a significant loss of fluids, including electrolytes like sodium. Hyponatremia (low sodium levels) can occur due to these fluid losses. Hence, this option is correct.
Option 4: Phosphorus - Excessive vomiting and diarrhoea do not typically cause a decrease in phosphorus levels in the blood serum. Therefore, we can eliminate this option.
In conclusion, based on the symptoms described, it is possible that the person`s blood serum may show a decrease in sodium levels.