David's mass decreased by 2% when he fell sick and later increased by 10% after he recovered. What was his weight after recovering given that he weighed 50kg before falling sick?
Question
David's mass decreased by 2% when he fell sick and later increased by 10% after he recovered. What was his weight after recovering given that he weighed 50kg before falling sick?
Solution
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First, we need to calculate how much weight David lost when he fell sick. Since his weight decreased by 2%, we multiply his original weight by 2% (or 0.02). So, 50kg * 0.02 = 1kg.
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We then subtract this weight loss from his original weight to find out how much he weighed when he was sick. So, 50kg - 1kg = 49kg.
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After recovering, David's weight increased by 10%. To find out how much weight he gained, we multiply his weight when he was sick by 10% (or 0.10). So, 49kg * 0.10 = 4.9kg.
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Finally, we add this weight gain to his weight when he was sick to find out his weight after recovering. So, 49kg + 4.9kg = 53.9kg.
Therefore, David weighed 53.9kg after he recovered.
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