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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?

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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.

This problem has been solved

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