DERIVATIONS — Computational
No. Answer Derivation
71. a $4,300,000 + $400,000 + $550,000 + $2,000,000 + $1,500,000 – $150,000
= $8,600,000.
72. b $4,300,000 + $550,000 = $4,850,000.
73. b (10,000 $25) + (15,000 $20) = $550,000
($250,000 ÷ $550,000) $480,000 = $218,182.
74. c (4,000 $25) + (6,000 $20) = $220,000
($120,000 ÷ $220,000) $192,000 = $104,727.
75. d (5,000 $18) + $100,000 = $190,000.
76. b [(6,000 $25) ÷ [(6,000 $25) + (9,000 $20)]] $288,000 = $130,909.
77. c [(7,500 $20) ÷ [(5,000 $25) + (7,500 $20)]] $240,000 = $130,909.
78. d ($60 – $52) 20,000 = $160,000.
79. d 12,000 $15 = $180,000.
80. b 3,000 $20 = $60,000; 3,000 $7 = $21,000.
81. c 4,000 $15 = $60,000; 4,000 $4 = $16,000.
82. c $900,000 + (2,000 $5) – (500 $10) = $905,000.
83. d (675,000 $4) + (90,000 $7) = $3,330,000.
84. c $900,000 + (3,600 $5) – (2,400 $4) = $908,400.
85. a $1,650,000 – (3,000 $28) – (3,000 $35) + (1,800 $30) + $450,000 =
$1,965,000.
86. c 20,000 $55 = $1,100,000.
87. c 2,000 $50 .06 = $6,000
($6,000 – $5,000) + $6,000 = $7,000.
88. a 5,000 $100 .05 = $25,000
($45,000 2) – ($25,000 3) = $15,000.
89. a 6,000 $100 .07 = $42,000
$160,000 – ($42,000 2) = $76,000.
90. c ($90,000 ÷ $10) $14 = $126,000
[$14 – ($90,000 ÷ 10,000)] 9,000 = $45,000
$126,000 – $45,000 = $81,000.
91. d ($270,000 ÷ $10) $14 = $378,000
[$14 – ($270,000 ÷ 30,000)] 27,000 = $135,000
$378,000 – $135,000 = $243,000.
92. b (900,000 $7) – [($7 – $5) 900,000] = $4,500,000.
93. d (180,000 ÷ 10) $14 = $252,000
$252,000 – [$252,000 – (180,000 18/20)] = $162,000.
94. d (5,000 $63) = $315,000
$315,000 – ($315,000 – $218,000) = $218,000.
95. a 350,000 .10 × $30 = $1,050,000
$1,050,000 + (350,000 1.10 $.50) = $1,242,500.
96. c (60,000 $50) + $3,000,000 = $6,000,000.
97. a $75,000 – $10,000 – (1,500 $6) = $56,000.
98. b 160,000 .15 $35 = $840,000.
99. b 120,000 .10 $20 = $240,000.
100. b 100,000 .10 $8 = $80,000.
101. a $200,000 + $100,000 – $60,000 – (3,000 $20) = $180,000.
102. a ($420,000 .05 $36) + ($420,000 1.05 $.60) = $1,020,600.
103. c $8,000 ÷ ($93,000 – $15,000) = 10.3%.
104. a $1,800,000 ÷ 150,000 = $12.00.
105. d $150,000 + $75,000 – $45,000 – (1,500 $30) = $135,000.
106. d (560,000 .05 $48) + (560,000 1.05 $.60) = $1,696,800.
107. c ($72,000 – $10,000) ÷ [($1,000,000 + $1,200,000)] = 5.6%.
108. c ($72,000 – $10,000) ÷ 100,000 = $.62.
$12 ÷ .62 = 19.4.
X
109. a ——————————— = .25, X = $430,000.
($2,120,000 – $400,000)
$30, 000 .04 $350, 000
110. b = .107 = 10.7%.
$60, 000 $75, 000 $75, 000 $90, 000 2
111. c
$90, 000 $100, 000 .10
$120, 000 $80, 000 $240, 000 $10, 000 $90, 000 $65, 000 $215, 000 2
= $80 ÷ 400.
$120,000 + $80,000 + (240,000 – $10,000)
112. a ——————————————————— = $430 ÷ 12.
12,000
113. b $15,000 ÷ ($124,000 – $30,000) = 16.0%.
114. b $2,400,000 ÷ 120,000 = $20.00.
*115. b $150,000 – (60,000 $5 .08 3) = $78,000.
*116. d 60,000 $5 .08 3 = $72,000 > $63,000.
*117. b 8% $600,000 = $48,000 (current year)
7%* $600,000 = 42,000 (participating)
$90,000
*$300,000 8% 3 = $ 72,000 (preferred dividends)
$600,000 8% = 48,000 (common current dividends)
$120,000
$183,000 – $120,000
—————————— = 7%.
$600,000 + $300,000
*118. c Common Stock
$500,000 6% = $30,000 (current year)
$500,000 10%* = 50,000 (participating)
$80,000
*$135,000 – $30,000 – ($250,000 6% × 2) = $75,000
$75,000
———— = 10%.
$750,000
*119. b $250,000 – ($500,000 8% × 2) = $170,000.
