Answer:
The amount allocated to Xavier = $50,710
Step-by-step explanation:
The following information were given
Xavier's investment = $51,000
Yolanda's investment = $105,000
interest on original investment = 20% = 20/100 = 0.2
Next let us determine the individual calculations for Xavier and Yolanda as follows:
interest on Xavier's investment = 0.2 × 51,000 = $10,200
interest on Yolanda's investment = 0.2 × 105,400 = $21,080
Salary allowance for Xavier = $28,100
Salary allowance for Yolanda = $29,700
summing up their individual amounts:
particulars Xavier ($) Yolanda($)
interest on investment 10,200 21,080
salary allowances 28,100 29,700
Total 38,300 50,780
Therefore after adding interest and allowances the total for xavier and Yolanda = 38,300 + 50,780 = $89,080
Next we are told that a net income of $113,900 is to be shared, and after the interest and salary allowances ($89,080) have been removed, the remainder is divided equally. Hence the amount to be divided equally is determined as follows:
Amount to be shared equally = 113,900 - 89,080 = $24,820
Since it divided equally, they each get half of the amount, which is:
24,820 ÷ 2 = $12,410.
Finally, the total amount allocated to Xavier:
particulars Xavier ($) Yolanda($)
interest on investment 10,200 21,080
salary allowances 28,100 29,700
amount shared equally 12,410 12,410
Total 50,710 63,190
Therefore Xavier collects $50,710.