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If Pablo gives 20% of his money to Mary, then Mary would have 25% more money
than Pablo. If Mary gives 20% of her money to Pablo, he would have more money
than Mary by what percent?

 Jul 12, 2021
 #1
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Answer: \(81.25\%\)

 

Solution:

If Pablo gives 20% of his money to Mary, that means he keeps 4/5 of the money. If Mary has 25% more than 4/5 of the original money after she is gives 20% of Pablo's money, then that means that after being gives 20% of Pablo's money, she now has Pablo's original amount. (Read that and the following carefully, I know this answer isn't clear.) Because Mary's original amount of money is Pablo's original amount of money minus 20% of Pablo's money, Mary's original amount of money is 80% of Pablo's money. 20% x 80% = 16%, which means that Mary now has 64% of Pablo's original amount of money, and Pablo has 116% of his original amount. 116 is 81.25% larger than 64, meaning that if Mary gives 20% of her money to Pablo, then he would have more money than Mary by \(81.25\%\).

 Jul 12, 2021

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