Joseph's mass decreased by 10% when he fell sick and later increased by 2% after he recovered. What was his weight after recovering given that he weighed 50kg before falling sick?
Question
Joseph's mass decreased by 10% when he fell sick and later increased by 2% 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 find out how much weight Joseph lost when he fell sick. Since his weight decreased by 10%, we calculate 10% of his initial weight.
10/100 * 50 = 5 kg
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So, when Joseph fell sick, his weight decreased by 5 kg. Therefore, his weight during his sickness was 50 kg - 5 kg = 45 kg.
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After recovering, Joseph's weight increased by 2%. To find out how much weight he gained, we calculate 2% of his weight during his sickness.
2/100 * 45 = 0.9 kg
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Therefore, after recovering, Joseph's weight was 45 kg + 0.9 kg = 45.9 kg.
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