The Plain Calculator; Being an Elementary Arithmetic Based on the Inherent Proprieties of Numbers

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. 1842 Excerpt: ...loss or gain, and by this fraction multiply each man's stock for each man's proportional share or answer. By Compound Fellowship the time, (days, months, or years) is multiplied by the amount each man put in, and these respective products form their several stocks, then add and proceed as above directed. To shorten the operation, use Cancellation and Contraction in the stocks as well as in the fractions. Ex. 1st. A, B & C traded together and gained $120; Here we have multiplied 6 by J6 and cancelled the product against 36 A's stock was $140, B's stock $300 and C's $160, what was each man's share of the gain? A's Stock 140 B's " 300 whole gain 120 C's " 160 whole stock600=' "600 Then 140+5=28 A's gain 300+5=60 B's" 160+5=32 C's « Having placed the gain, 120 as a numerator, and added the stocks=600 as denominator, the fraction thus obtained is the multiplier of each man's stock for each man's share of the gain, but having reduced this fraction to we have only to multiply by, or to divide each man's stock by 5 for each man's share. We will take the same question and contract the stocks in the same proportion. A 140+20 B 300+20 C 160+20 Having reduced the stocks to 7, 15, 8=30 (by contracting them by the factor 20) placing 30 under the gain 120, reducing it to an improper fraction=y we have to multiply the reduced stocks by this fraction, for each man's share as above. 2d. On Bankruptcy. A merchant has failed in trade, who owes to A $604, to B $728, to C $368, to D $120, to E $76, F $392, and G 472, but his property is only worth $696, what is each man's share? B 728 182 2760-27604 2760 C 368 92 To have an easy Dumber to operate D 120 30 with, we omit $6, and cancel the fracE 76 19 tion left £r&Trt0, now dividing each, F 39...