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01 Feb 2025, 02:59
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A will was written such that an estate would be divided among five beneficiaries with the remainder donated to charity. One stipulation in the will is that no one beneficiary can receive an amount within 20% of another's amount.
If one of the beneficiaries received $10,000, what is the smallest possible range between the highest and lowest amounts (rounded to the nearest dollar) among the five beneficiaries?
Let us assume that highest amount received by any beneficiary be $10,000.
Highest beneficiary gets = $10000
Second Highest beneficiary gets =$10000(1- 20%) = $8000
Third Highest beneficiary gets =$8000(1 - 20%) = $6400
Fourth Highest beneficiary gets =$6400(1 - 20%) = $5120
Fifth Highest beneficiary gets =$5120(1 - 20%) = $4096
The smallest possible range between the highest and lowest amounts (rounded to the nearest dollar) among the five beneficiaries = $10000 - $4096 = $5904
IMO B
If one of the beneficiaries received $10,000, what is the smallest possible range between the highest and lowest amounts (rounded to the nearest dollar) among the five beneficiaries?
Let us assume that highest amount received by any beneficiary be $10,000.
Highest beneficiary gets = $10000
Second Highest beneficiary gets =$10000(1- 20%) = $8000
Third Highest beneficiary gets =$8000(1 - 20%) = $6400
Fourth Highest beneficiary gets =$6400(1 - 20%) = $5120
Fifth Highest beneficiary gets =$5120(1 - 20%) = $4096
The smallest possible range between the highest and lowest amounts (rounded to the nearest dollar) among the five beneficiaries = $10000 - $4096 = $5904
IMO B
