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Peter's mass decreased by 5% when he fell sick and later increased by 10% after he recovered. What was his weight after recovering given that he weighed 60kg before falling sick?

Question

Peter's mass decreased by 5% when he fell sick and later increased by 10% after he recovered. What was his weight after recovering given that he weighed 60kg before falling sick?

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Solution

  1. First, we need to calculate how much weight Peter lost when he fell sick. Since his weight decreased by 5%, we multiply his original weight by 5% (or 0.05). So, 60kg * 0.05 = 3kg.

  2. We then subtract this weight loss from his original weight to find out how much he weighed when he was sick. So, 60kg - 3kg = 57kg.

  3. After recovering, Peter'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, 57kg * 0.10 = 5.7kg.

  4. Finally, we add this weight gain to his weight when he was sick to find out his weight after recovering. So, 57kg + 5.7kg = 62.7kg.

Therefore, Peter weighed 62.7kg after he recovered from his illness.

This problem has been solved

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