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A perpetuity immediate pays X per year. Brian receives the first n payments. Colleen receives the next n payments, and a charity receives the remaining

A perpetuity immediate pays X per year. Brian receives the first n payments. Colleen receives the next n payments, and a charity receives the remaining payments. Brian's share of the present value of the original perpetuity is

40 %,

and the charity's share is K

.

Find K

.

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