Determining distribution when one-fifth of the remainder after the third bequest is excepted, and the bequest is one-third of the remaining estate after the first bequest.
General Chapter
Al-Mughni
Book of Bequests
Primary text
If one-fifth of what remains after the initial one-third bequest is excepted, one adds one unit to the initial fifteen shares, resulting in sixteen shares. Then, one subtracts one-third of the entire estate, leaving eleven units for the primary share. One then adds one and one-fifth shares to the sons' shares and multiplies by fifteen, resulting in sixty-three. The first trustee receives eleven units, and two units are reserved as one-fifth of the remainder (which is one-third of the estate), leaving nine units. The beneficiary of the second bequest receives twenty-one units, leaving thirty-three units, so each son receives eleven units.
Supporting text
If the second bequest is one-third of the estate remaining after the first bequest, one adds one unit to the fifteen shares, resulting in sixteen shares. Then, one subtracts one-third of the sixteen shares. As sixteen is not divisible by three, one multiplies by three to eliminate the fraction, resulting in forty-eight units. Subtracting one-third of this leaves thirty-two units for the primary share. One takes one share, adds five units, and subtracts one-third of that due to the second bequest of the remainder, leaving four-fifths. This is added to the heirs' shares and multiplied by forty-five, resulting in one hundred and seventy-one, from which the distribution is validated.