Antony'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
Antony'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?
Solution
Step 1: Calculate the weight loss
Antony's weight decreased by 5% when he fell sick. To find out how much weight he lost, we multiply his original weight by 5% (or 0.05).
60kg * 0.05 = 3kg
So, Antony lost 3kg when he fell sick.
Step 2: Calculate the weight after sickness
We subtract the weight loss from the original weight to find out Antony's weight after he fell sick.
60kg - 3kg = 57kg
So, Antony weighed 57kg after he fell sick.
Step 3: Calculate the weight gain
Antony's weight increased by 10% after he recovered. To find out how much weight he gained, we multiply his weight after sickness by 10% (or 0.10).
57kg * 0.10 = 5.7kg
So, Antony gained 5.7kg after he recovered.
Step 4: Calculate the weight after recovery
We add the weight gain to the weight after sickness to find out Antony's weight after he recovered.
57kg + 5.7kg = 62.7kg
So, Antony weighed 62.7kg after he recovered.
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