# A Commercial Arithmetic; Designed for Academies, High Schools, Counting Rooms, and Business Colleges

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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1884 edition. Excerpt: ...capital by the time it is employed is, to reduce their respective capitals to equivalents for the same time, or to average their investments. (Art. 353.) 23. A, B, and C form a partnership; A furnishing \$1500 for 9 mo., B \$1700 for 10 mo., and C \$1400 for 15 months; they lose \$1600; what is each man's share of the loss? 24. Jan. 1st, A, B, and C form a partnership; A puts in \$4000, but after 6 mo. withdraws \$1000; B puts in \$3000, and adds \$500 after 4 mo.; C puts in \$2000 for the year; they gain \$1800; what is the share of each? 25. A, B, and C began business Jan. 1st, when A put in \$7500, and July 1st he put in \$2500 more; B put in Jan. 1st \$12000, and May 1st withdrew \$4000; C put in Jan. 1st \$10000, Aug. 1st he added \$3000, and Oct. 1st he withdrew \$7000. At the close of the year the profit was \$8500; how much ought each to have, the gains being divided according to their average investment? OPEBATION. Jan. 1st, A invested \$7500 x 12 = \$90000 for 1 mo. July 1st, A" 2500 x 6 = 15000 \$105000 Jan. 1st, B " 12000 x 12-144000 May 1st, B withdrew 4000 x 8 = 32000 112000 \$217000 Jan. 1st, C invested 10000 x 12 = 120000 Aug. 1st, C" 3000 x 5 = 15000 135000 Oct. 1st, C withdrew 7000 x 3 = 21000 114000 Total average investment for 1 month = \$331000 A's share of profits, \$8500 x JJf = 2696if\$ B's" "\$8500 x Itf = \$2876 C's" "\$8500x-i = \$2927jf Proof.--\$8500, entire profits. Explanation.--Each investment and withdrawal is multiplied by the number of months between its date and the time of settlement. The products of each partner's withdrawals are subtracted from the products of his investments, and the remainder is his average investment. The sum of the average investments is the denominator and each separate...