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APMOPS 2012 Question 17

APMOPS · APMOPS 2012

Question 17

Jane was given a sum of money for her 10 day trip. At the end of day 1, she spent $1/10$ of the money. At the end of day 2, she spent $1/9$ of the remaining sum. At the end of day 3, she spent $1/8$, and so on. At the end of day 9, she spent $1/2$ of the remaining sum and has 99 dollars left. How much money did she have at the beginning?