HG 1628 .B38 Copy 1 U -A_ IbTIE^T" METHOD COMPUTING INTEREST FOUR PER CENTUM TO TWELVE PER CENTUM SHORT AND EASY METHOD ID *' ttJB2>TTlir BEATTY' , SEP 12 1887/ V. sirs J MASSILLON, OHIO Y'^V $1 Designed for the use of Schools also Bankers and Business Men Generally. COPYRIGHTED BY HENRY BEATTY, MARCH 7, 1887. ~\ V^-S .B3X /S*7 Press of Newstetter & Co., Massillon, O. PREFACE. Tn this little book, I have labored to obtain the de- -*~ sired result with the least work possible. It seems to me that much unneccessary work is expended upon examples, where the interest is desired, and it has been my aim to make the method shorter and easier. For instance in the six per cent method, why need we waste time by multiplying the entire prin- cipal by the number of days and dividing by sixty, when the same result can be had by dividing either the time or principal by six and multiplying the quotient by the unused factor. I have introduced several ways of obtaining interest under the same principle, and a good accountant can see at a glance, which one will be best to use. In presenting this book to the public, it must stand or fall on its own merits. I have no refer- ences or testimonials to accompany it, but publish it simply be- cause I think it makes hard work much easier and shorter. HENRY BEATTY. Sliort jVletliocL for Countingf Interest. Tx this method of computing interest we take rears, -*- months and days together, and get as many tenths as tenths are contained in the given time, at any rate per cent. The higher the interest the more tenths are required in the same time. By dividing 360 days by 36, we get ten tenths for one year, the quotient of this divisor is one-sixth of a quotient obtained by a divisor of six. By multiplying the ten-tenths by the given rate per cent., we have the interest on one dollar for one year. Where- as if we divide our time by six, our quotient will be six times ten- tenths and can only be used for six per cent, unless we take one- sixth of the quotient and multiply it by the rate per cent. By dividing by 36 or 12, we obtain the same result, but for the latter divisor, instead of reducing the months to days, we write the months and annex one-third of the days. If the days are less than three annex a cipher and 33 ^ for one day and 66% for two days. If the days are three or more, dispense with the cipher. For one year we write twelve months and annex a cipher (120). Thus written, it will stand as one to ten, or as thirtv-six to three 6. BEATTY'S SHORT METHOD hundred and sixty. There are other figures with which we can obtain the same results, but for divisors, 36 or 12 are probably the best to adopt. By reducing the months to days, adding the odd days, and dividing by 36, we have but one fraction to reduce, and when we divide by 12, if the days do not divide evenly by three, we have two fractions to reduce. It matters not whether we di- vide the time or the principal, though the time is preferable, un- less the principal is large and the time is ten days or less. In either case the quotient must be multiplied by the given rate per cent. In the following table, (Page 9), the interest is counted on one dollar at the different rates per cent, for 360 days, (allowing 30 days for each month,) also for months and years separately. The unit or zero line is to the left of the three right hand figures. All on the left of that line are cents and dollars, and all on the right are tenths, hundredths, thousandths, etc. We have obtained this table by the following rule: Write the number of months, annex one-third of the days, and divide by twelve, or the same result is obtained by dividing the entire num- ber of days, including the months, by thirty-six. Then multiply the quotient by the given rate per cent., and the result will be the interest on one dollar for the given time. To find the interest on a given sum for a given time at a given rate per cent, turn to the table, run down the first column of figures, representing time, till you reach the given time. Follow to the right, till you reach the figure under the col- umn, headed by the given rate per cent., and multiply the given principal by this figure. Cut off three right hand figures and allow two places for cents. OF COMPUTING INTEREST. Example 1. Find the interest on $36.00 for 18 days, at ' l / 3 of 18 days = 6 days. 12)6.00 or 36)1800 T5(T 50 7 7 "350 "350 $36 $36 2100 .12,600 1050 .1^600 In the table run down the column representing time, until you reach 18 days. Follow to the right and under the 1% column we find the number 0350. Multiply $36.00 by this number, cut off the three right hand figures, and we have the required amount, 12 cents. Example 2. Find the interest on $50.00 for 3 months, 18 days, at 6$. )i of 18 days =6 days. 12)3600 or 3 months=90 days. ^00 J? 6 36)108 " 1800 300 $50 6 .90,000 1800 $50 .90,000 To use table, follow as before. BEATTY'S SHORT METHOD Example 3. Find the interest on $100.00 for 2 years, 6 months, at 8%. 2 vears = 24 months. 2 vears = 720 days. 6 or 6 months=:180 " 12)80 " 36 )900 " 2.500 2500 8 _8 20000 20000 $100 $100 $20.00,000 $20 00,000 Example 4. Find the interest on $9729.00 for 6 days, at 6%. 36 )600 _ 9729 016% _ 10 ° 6 $9.72,900 100 In the above examples we have annexed ciphers, the same as in the table of interest. In example No. i we have annexed one unnecessary cipher which is one thousandth of a unit, and by dispensing with that we have two figures to cut off: tenths and hundredths. In examples 2 and 3, we have in each two unnecessary ciphers, and by dispensing with them, we have but the tenths to cut off in either. Example 4 has two unnecessary ciphers annexed, but with them annexed we see that the principal and interest aie precisely the same. In examples like this we cut off the right hand dollar figure from the principal with all to the right of it, and the interest remains. OF COMPUTING INTEREST. 9 D \% 5% 6% 1% $% 9% io % ii % 12 % 1 0011 0014 0017 0019 0022 0025 0028 0031 0033 2 0022 0028 0033 0039 0044 0050 0056 0061 0067 3 0033 0042 0050 0058 0067 0075 0083 0092 0100 4 0044 0056 0067 0078 0089 0100 0111 0122 0133 5 0056 0069 0083 0097 0111 0125 0139 ,0153 0167 6 0067 0083 0100 0117 0133 0150 0167 0183 0200 7 0078 0097 0117 0136 0156 0175 0194 0214 0233 8 0089 0111 0133 0156 0178 0200 0222 0244 0267 9 0100 0125 0150 0175 0200 0225 0250 0275 0300 10 0111 0139 0167 0194 0222 0250 0278 0306 0333 11 0122 0153 0183 0214 0244 0275 0306 0336 0367 12 0133 0167 0200 0233 0267 0300 0333 0367 0400 13 0144 0181 0217 0253 0289 0325 0361 0397 0433 14 0156 0194 0233 0272 0311 0350 0389 0428 0467 15 0167 0208 0250 0292 0333 0375 0417 0458 0500 16 0178 0222 0267 0311 0356 0400 0444 0485 0533 17 0189 0236 0283 0331 0378 0425 0472 0519 0567 18 0200 0250 0300 0350 0400 0450 0500 0550 0600 19 0211 0264 0317 0369 0422 0475 0528 0581 0633 20 0222 0278 0333 0389 0444 0500 0556 0611 0667 21 0233 0292 0350 0408 0467 0525 0583 0642 0700 22 0244 0306 0367 0428 0489 0550 0611 0672 0733 23 0256 0319 0383 0447 0511 0575 0639 0703 0767 24 0267 0333 0400 0467 0533 0600 0667 0733 0800 25 0278 0347 0417 0486 0556 0625 0694 0764 0833 26 0289 0361 0433 0506 0578 0650 0722 0794 0867 27 0300 0375 0450 0525 0600 0675 0750 0825 0900 28 0311 0389 0467 0544 0622 0700 0778 0856 0933 29 0322 0403 0483 0564 0644 0725 0806 0886 0967 30 0333 0417 0500 0583 0667 0750 0833 0917 1000 BEATTY'S SHORT METHOD M D 4^ b% 6^ 1% 8% 9% 10 % 11 t 12 % 1 1 0345 0431 0517 0603 0689 0775 0862 0947 1033 " 2 0356 0444 0533 0622 0711 0800 0897 0978 1067 " 3 0367 0458 0550 0642 0733 0825 0923 1008 1100 " 4 0378 0472 0567 0661 0756 0850 0948 1016 1133 " 5 0389 0486 0583 0681 0778 0875 0974 1069 1167 " 6 0400 0500 0600 0700 0800 0900 1000 1100 1200 » 7 0411 0514 0617 0719 0822 0925 1028 1131 1233 " 8 0422 0528 0633 0739 0844 0950 1056 1161 1267 " 9 0433 0542 0650 0758 0867 0975 1083 1192 1300 " 10 0444 0556 0667 0778 0889 1000 1111 1222 1333 " 11 0456 0569 0683 0795 0911 1025 1139 1253 1367 " 12 0467 0583 0700 0817 0933 1050 1167 1283 1400 " 13 0478 0597 0717 0836 0956 1075 1194 1314 1433 « 14 0489 0611 0733 0856 0978 1100 1222 1344 1467 " 15 0500 0625 0750 0875 1000 1125 1250 1375 1500 " 16 0511 0639 0767 0894 1022 1150 1278 1406 1533 » 17 0522 0653 0783 0914 1044 1175 1306 1437 1567 " 18 0533 0667 0800 0933 1067 1200 1333 1470 1600 " 19 0544 0681 0817 0953 1089 1225 1361 1497 1633 " 20 0556 0694 0833 0972 1111 1250 1389 1528 1667 " 21 0567 0708 0850 0992 1133 1275 1417 1558 1700 " 22 0578 0722 0867 1011 1156 1300 1444 1589 1733 " 23 0589 0736 0883 1031 1178 1325 1472 1619 1767 " 24 0600 0750 0900 1050 1200 1350 1500 1650 1800 " 25 0611 0764 0917 1069 1222 1375 1528 1681 1833 " 26 0622 0778 0933 1089 1244 1400 1556 1711 1867 " 27 0633 0792 0950 1108 1267 1425 1583 1742 1900 " 28 0644 0806 0967 1128 1289 1450 1611 1772 1933 " 29 0656 0819 0983 1147 1311 1475 1639 1803 1967 " 30 0667 0833 1000 1167 1333 1500 1667 1833 2000 OF COMPUTING INTEREST. M D 4$ 0678 0847 6% 1017 1% 1186 8% 1356 9% 1525 10 % 1694 11 % 1864 12 % 2 1 2033 " 2 0689 0861 1033 1206 1378 1550 1722 1893 2067 M 3 0700 0875 1050 1225 1400 1575 1750 1925 2100 " 4 0711 0886 1067 1244 1422 1600 1778 1950 2133 " 5 0722 0903 1083 1264 1444 1625 1806* 1986 2167 »* 6 0733 0917 1100 1283 1467 1650 1833 2017 2200 u 7 0744 0931 1117 1303 1489 1675 1861 2056 2233 « 8 0756 0944 1133 1322 1511 1700 1889 2078 2267 " 9 0767 0958 1150 1342 1533 1725 1917 2108 2300 w 10 0778 0972 1167 1361 1556 1750 1944 2139 2333 " 11 0789 0986 1183 1381 1578 1775 1972 2169 2367 M 12 0800 1000 1200 1400 1600 1800 2000 2200 2400 " 13 0811 1014 1217 1419 1622 1825 2028 2231 2433 u 14 0822 1028 1233 1439 1644 1850 2056 2261 2467 " 15 0833 1042 1250 1458 1667 1875 2083 2292 2500 " 16 0844 1056 1267 1478 1689 1900 2111 2322 2533 « 17 0856 1069 1283 1497 1711 1925 2139 2353 2567 " 18 0867 1083 1300 1517 1733 1950 2167 2383 2600 " 19 0878 1097 1317 1536 1756 1975 2194 2414 2633 « 20 0889 1111 1333 1556 1778 2000 2222 2444 2667 * 21 0900 1125 1350 1575 1800 2025 2250 2475 2700 « 22 0911 1139 1367 1595 1822 2050 2278 2506 2733 " 23 0922 1153 1383 1614 1844 2075 2306 2536 2767 * 24 0933 1167 1400 1633 1867 2100 2333 2567 2800 " 25 0944 1181 1417 1653 1889 2125 2361 2597 2833 " 26 0956 1194 1433 1672 1911 2150 2389 2628 2867 " 27 0967 1208 1450 1692 1933 2175 2417 2658 290(J " 28 0978 1222 1467 1711 1956 2200 2444 2689 2933 " 29 0989 1236 1483 1731 1978 2225 2472 2719 2967 h 30 1000 1250 1500 1750 2000 2250 2500 2750 3000 BEATTY'S SHORT METHOD 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 4$ 5$ 6% 1011 1264 1517 1022 1278 1533 1033 1292 1550 1044 1306 1567 1056 1319 1583 1067 1333 1600 1078 1347 1617 1089 1361 1633 1100 1375 1650 1111 1389 1667 1122 1403 1683 1133 1417 1700 1144 1431 1717 1156 1444 1733 1167 1458 1750 1178 1472 1767 1189 1486 1783 1200 1500 1800 1211 1514 1817 1222 1528 1833 1233 1542 1850 ] 1244 1556 1867 1256 1569 1883 1267 1583 1900 1278 1597 1917 1289 1611 1933 1300 1625 1950 1311 1639 1967 1322 1653 1983 1333 1667 2000 1769 1789 1808 1828 1847 1867 1886 1906 1925 1944 1964 1983 2003 2023 2042 2061 2081 2100 2119 2139 2158 2178 2197 2217 2236 2256 2275 2295 2314 2333 2022 2044 2067 2089 2111 2133 2156 2178 2200 2222 2244 2267 2289 2311 2333 2356 2378 2400 2422 2444 2467 2489 2511 2533 2556 2578 2600 2622 2644 2667 9% 10 % 11 % 2275 2528 2781 2300 2556 2811 2325 2583 2842 2350 2611 2872 2375 2639 2902 2400 2667 2933 2425 2694 2964 2450 2722 2994 ; 2475 2750 3025 2500 2778 3056 2525 2806 3086 2550 2833 3117 2575 2861 3147 2600 2889 3178 2625 2917 3208 2650 2944 3239 2675 2972 3269 2700 3000 3300 2725 3028 3331 2750 3056 3361 2775 3083 3392 i 2800 3111 3422 2825 3 139 3453 2850 3167 3483 2875 3194 3514 2900 3222 3544 2925 3250 3575 2950 3278 3606 2975 3306 3636 3000 3333 3667 ; OF COMPUTING INTEREST. i3- M D 4$ 1344 1681 6$ 2017 7£ 2353 8% 2689 9% 3025 10 % 3361 11 % 3697 12 % 4 1 4033 " 2 1356 1694 2033 2372 2711 3050 3389 3728 4067 »• 3 1367 1708 2050 2392 2733 3075 3417 3758 4100 ii 4 1378 .1722 2067 2411 2756 3100 3444 3789 4133 " 5 1389 1736 2083 2431 2778 3125 3472 3819 4167 * 6 1400 1750 2100 2450 2800 3150 3500 3850 4200 a 7 1411 1764 2117 2469 2822 3175 3528 3881 4233 " 8 1422 1778 2133 2489 2844 3200 3556 3911 4267 " 9 1433 1792 2150 2508 2867 3225 3583 3942 4300 " 10 1444 1806 2167 2528 2889 3250 3611 3972 4333 " 11 1456 1819 2183 2547 2911 3275 3639 4003 4367 " 12 1467 1833 2200 2567 2933 3300 3667 4033 4400 " 13 1478 1847 2217 2586 2956 3325 3694 4064 4433 u M 1489 1861 2233 2606 2978 3350 3722 4094 4467 " 15 1500 1875 2250 2625 3000 3375 3750 4125 4500 '< 16 1511 1889 2267 2645 3022 3400 3778 4156 4533 u 17 1522 1903 2283 2664 3044 3425 3806 4186 4567 " 18 1533 1917 2300 2683 3067 3450 3833 4217 4600 " 19 1544 1931 2317 2703 3089 3475 3861 4247 4633 " 20 1556 1944 2333 2722 3111 3500 3889 4278 4667 " 21 1567 1958 2350 2742 3133 3525 3917 4308 4700 " 22 1578 1972 2367 2761 3156 3550 3944 4339 4733 " 23 1589 1986 2383 2781 3178 3575 3972 4369 4767 " 24 1600 2000 2400 2800 3200 3600 4000 4400 4800 ? 25 1611 2014 2417 2820 3222 3625 4028 4431 4833 M 26 1622 2028 2433 2839 3244 3650 4056 4461 4867 M 27 1633 2042 2450 2858 3267 3675 4083 4492 4900 " 28 1644 2056 2467 2878 3289 3700 4111 4522 4933 " 29 1656 2069 2483 2897 3311 3725 4139 4553 4967 " 30 1667 2083 2500 2917 3333 3750 4167 4583 5000 I 4 . BEATTY'S SHORT METHOD M D 4^ | 1678 5$ ; 2097 | 6$ | 2517 7£ 2936 8$ 1 3356 9£ 3775 10 % 4194 11 % 4614 12 % 5 1 5033 « 2 1689 2111 2533 2956 3378 3800 4222 4644 5067 - 3 1700 2125 2550 2975 3400 3825 4250 4675 5100 u 4 1711 2139 2567 2994 3422 3850 4278 4706 5133 « 5 1722 2153 2583 3014 3444 3875 4306 4736 5167 " 6 1733 2167 2600 3033 3467 3900 4333 4767 5200 u 7 1744 2181 2617 3053 3489 3925 4361 4797 5233 « 8 1756 2194 2633 3072 3511 3950 4389 4822 5267 " 9 1767 2208 2650 3092 3533 3975 4417 4858 5300 " 10 1778 2222 2667 3111 3556 4000 4444 4889 5333 " 11 1789 2236 2683 3131 3578 4025 4472 4919 5367 " 12 1800 2250 2700 3150 3600 4050 4500 4950 5400 " 13 1811 2264 2717 3169 3622 4075 4528 4981 5433 u 14 1822 2278 2733 3189 3644 4100 4556 5011 5467 " 15 1833 2292 2750 3208 3667 4125 4583 5042 5500 " 16 1844 2306 2767 3228 3689 4150 4611 5072 5533 .< 17 1856 2319 2783 3247 3711 4175 4639 5103 5567 " 18 1867 2333 2800 3267 3733 4200 4667 5133 5600 " 19 1878 2347 2817 3286 3756 4225 4694 5164 5633 " 20 1889 2361 2833 3306 3778 4250 4722 5194 5667 " 21 1900 2375 2850 3325 3800 4275 4750 5225 5700 " 22 1911 2389 2867 3344 3822 4300 4778 5256 5733 " 23 1922 2403 2883 3364 3844 4325 4806 5286 5767 " 24 1933 2417 2900 3383 3867 4350 4833 5317 5800 " 25 1944 2431 2917 3403 3889 4375 4861 5347 5833 » 26 1956 2444 2933 3422 3911 4400 4889 5378 5867 " 27 1967 2458 2950 3442 3933 4425 4917 5408 5900 " 28 1978 2472 2967 3461 3956 4450 4944 5439 5933 " 29 1989 2486 2983 3481 3978 4475 4972 5469 5967 " 30 2000 2500 3000 3500 4000 4500 5000 5500 6000 OF COMPUTING INTEREST. I 5« M D 4£ 2011 5 % 2514 6% 3017 3519 4022 9£ 4525 10 % 5028 11 % 5531 12 % 6 1 6033 " 2 2022 2528 3033 3539 4044 4550 5056 5561 6067 " 3 2033 2542 3050 3558 4067 4575 5083 5592 6100 u 4 2044 2556 3067 3578 4089 4600 5111 5622 6133 u 5 2056 2569 3083 3597 4111 4625 5139 5653 6167 " 6 2067 2583 3100 3617 4133 4650 5167 5683 6200 u 7 2078 2597 3117 3636 4156 4675 5194 5714 6233 " 8 2089 2611 3133 3656 4178 4700 5222 5744 6267 " 9 2100 2625 3150 3675 4200 4725 5250 5775 6300 H 10 2111 2639 3167 3694 4222 4750 5278 5806 6333 V 11 2122 2653 3183 3714 4244 4775 5306 5836 6367 - 12 2133 2667 3200 3733 4267 4800 5333 5867 6400 " 13 2144 2681 3217 3753 4289 4825 5361 5897 6433 u u 2156 2694 3233 3772 4311 4850 5389 5928 6467 « 15 2167 2708 3250 3792 4333 4875 5417 5958 6500 - 16 2178 2722 3267 3811 4356 4900 5444 5989 6533 u 17 2189 2736 3283 3831 4378 4925 5472 6019 6567 " 18 2200 2750 3300 3850 4400 4950 5500 6050 6600 " 19 2211 2764 3317 3869 4422 4975 5528 6081 6633 » 20 2222 2778 3333 3889 4444 5000 5556 6111 6667 " 21 2233 2792 3350 3908 4467 5025 5583 6142 6700 » 22 2244 2806 3367 3928 4489 5050 5611 6172 6733 ? 23 2256 2819 3383 3947 4511 5075 5639 6203 6767 « 24 2267 2833 3400 3966 4533 5100 5667 6233 6800 " 25 2278 2847 3417 3986 4556 5125 5694 6264 6833 " 26 2289 2861 3433 4006 4578 5150 5722 6294 6867 " 27 2300 2875 3450 4025 4600 5175 5750 6325 6900 " 28 2311 2889 3467 4044 4622 5200 5778 6356 6933 " 29 2322 2903 3483 4064 4644 5225 5806 6386 6967 * 30 2333 2917 3500 4083 4667 5250 5833 6417 7000 1 6. BEATTY'S SHORT METHOD M D 2344 5% 2931 6% 3517 7% 4103 4689 9% 5275 io % 5861 ii % 6447 12 % 7 1 7033 11 2 2356 2944 3533 4122 4711 5300 5889 6478 7067 " 3 2367 2958 3550 4142 4733 5325 5917 6508 7100 " 4 2378 2972 3567 4161 4756 5350 5944 6539 7133 kt 5 2389 2986 3583 4181 4778 5375 5972 6569 7167 " 6 2400 3000 3600 4200 4800 5400 6000 6600 7200 u 7 2411 3014 3617 4219 4822 5425 6028 6631 7233 " 8 2422 3028 3633 4239 4844 5450 6056 6661 7267 - 9 2433 3042 3650 4258 4867 5475 6083 6692 7300 " 10 2444 3056 3667 4278 4889 5500 6111 6722 7333 " 11 2456 3069 3683 4297 4911 5525 6139 6753 7367 " 12 2467 3083 3700 4317 4933 5550 6167 6783 7400 " 13 2478 3097 3717 4336 4956 5575 6194 6814 7433 " 14 2489 3111 3733 4356 4978 5600 6222 6844 7467 " 15 2500 3125 3750 4375 5000 5625 6250 6875 7500 " 16 2511 3139 3767 4394 5022 5650 6278 6906 7533 u 17 2522 3153 3783 4414 5044 5675 6306 6936 7567 " 18 2533 3167 3800 4433 5067 5700 6333 6967 7600 « 19 2544 3181 3817 4453 5089 5725 6361 6997 7633 " 20 2556 3194 3833 4472 5111 5750 6389 7028 7667 " 21 2567 3208 3850 4492 5133 5775 6417 7058 7700 " 22 2578 3222 3867 4511 5156 5800 6444 7089 7733 " 23 2589 3236 3883 4531 5178 5825 6472 7119 7767 " 24 2600 3250 3900 4550 5200 5850 6500 7150 7800 " 25 2611 3264 3917 4569 5222 5875 6528 7181 7833 " 26 2622 3278 3933 4589 5244 5900 6556 7211 7867 " 27 2633 3292 3950 4608 5267 5925 6583 7242 7900 " 28 2644 3306 3967 4628 5289 5950 6611 7272 7933 " 29 2656 3319 3983 4647 5311 5975 6639 7303 7967 14 30 2667 3333 4000 4667 5333 6000 6667 7333 8000 OF COMPUTING INTEREST. i7- M D 1 4^ 2678 5$ 3347 6% 4017 1% 4686 ' 8% 5356 9% 6025 10 % 6694 11 % 7364 12 # 8 1 8033 " 2 2689 3361 4033 4706 5378 6050 6722 7394 8067 - 3 2700 3375 4050 4725 5400 6075 6750 7425 8100 - 4 2711 3389 4067 4741 5422 6100 6778 7456 8133 14 5 2722 3403 4083 4767 5444 6125 6806 7486 8167 - 6 2733 3417 4100 4783 5467 6150 6833 7517 8200 u 7 2744 3431 4117 4803 5489 6175 6861 7547 8233 - 8 2756 3444 4133 4822 5511 6200 6889 7578 8267 - 9 2767 3458 4150 4842 5533 6225 6917 7608 8300 - 10 2778 3472 4167 4861 5556 6250 6944 7639 8333 " 11 2789 3486 4183 4881 5578 6275 6972 7669 8367 - 12 2800 3500 4200 4900 5600 6300 7000 7700 8400 " 13 2811 3514 4217 4919 5622 6325 7028 7731 8433 " 14 2822 3528 4233 4939 5644 6350 7056 7761 8467 - 15 2833 3542 4250 4958 5667 6375 7083 7792 8500 - 16 2844 3556 4267 4978 5689 6400 7111 7822 8533 u 17 2856 3569 4283 4997 5711 6425 7139 7853 8567 " 18 2867 3583 4300 5017 5733 6450 7167 7883 8600 - 19 2878 3597 4317 5036 5756 6475 7194 7914 8633 - 20 2889 3611 4333 5056 5778 6500 7222 7944 8667 " 21 2900 3625 4350 5075 5800 6525 7250 7975 8700 - 22 2911 3639 4367 5094 5822 6550 7278 8006 8733 " 23 2922 3653 4383 5114 5844 6575 7306 8036 8767 " 24 2933 3667 4400 5133 5867 6600 7333 8067 8800 - 25 2944 3681 4417 5153 5889 6625 7361 8097 8833 g 26 2956 3694 4433 5172 5911 6650 7389 8128 8867 P 27 2967 3708 4450 5192 5933 6675 7417 8158 8900 f 28 2978 3722 4467 5211 5956 6700 7444 8189 8933 1 29 2989 3736 4483 5231 5978 6725 7472 8219 8967 ' k 30 3000 3750 4500 5250 6000 6750 7500 8250 9000 i8. BEATTY'S SHORT METHOD M D 3011 5% 3764 6% 4517 1% 5269 6022 9% 6775 io % 7528 ii % 8281 12 % 9 1 9033 " 2 3022 3778 4533 5289 6044 6800 7556 8311 9067 " 3 3033 3792 4550 5308 6067 6825 7583 8342 9100 u 4 3044 3806 4567 5328 6089 6850 7611 8372' 9133 " 5 3056 3819 4583 5347 6111 6875 7639 8403 9167 *« 6 3067 3833 4600 5367 6133 6900 7669 8433 9200 u 7 3078 3847 4617 5386 6156 6925 7694 8464 9233 " 8 3089 3861 4633 5406 6178 6950 7722 8494 9267 " 9 3100 3875 4650 5425 6200 6975 7750 8525 9300 " 10 3111 3889 4667 5444 6222 7000 7778 8556 9333 " 11 3122 3903 4683 5464 6244 7025 7806 8586 9367 " 12 3133 3917 4700 5483 6267 7050 7833 8617 9400 " 13 3144 3931 4717 5503 6289 7075 7861 8647 9433 u 14 3156 3944 4733 5522 6311 7100 7889 8678 9467 " 15 3167 3958 4750 5542 6333 7125 7917 8708 9500 " 16 3178 3972 4767 5561 6356 7150 7944 8739 9533 u 17 3189 3986 4783 5581 6378 7175 7972 8769 9567 " 18 3200 4000 4800 5600 6400 7200 8000 8800 9600 " 19 3211 4014 4817 5619 6422 7225 8028 8831 9633 " 20 3222 4028 4833 5639 6444 7250 8056 8861 9667 " 21 3233 4042 4850 5658 6467 7275 8083 8892 9700 " 22 3244 4056 4867 5678 6489 7300 8111 8922 9733 " 23 3256 4069 4883 5697 6511 7325 8139 8951 9767 " 24 3267 4083 4900 5717 6533 7350 8167 8984 9800 " 25 3278 4097 4917 5736 6556 7375 8194 9014 9833 " 26 3289 4111 4933 5756 6578 7400 8222 9044 9867 '< 27 3300 4125 4950 5775 6600 7425 8250 9075 9900 « 28 3311 4139 4967 5794 6622 7450 8278 9106 9933 " 29 3322 4153 4983 5814 6644 7475 8306 9136 9967 " 30 3333 4167 5000 5833 6667 7500 8333 9167 10000 OF COMPUTING INTEREST. M D 4$ 3344 5% 4181 6^ 5017 1% 5853 8% 6689 9% 7525 10 % 8361 11 % 9197 12 % 10 1 10033 » 2 3356 4194 5033 5872 6711 7550 8389 9228 10067 - 3 3367 4208 5050 5892 6733 7575 8417 9258 10100 M 4 3378 4222 5067 5911 6756 7600 8444 9289 10133 - 5 3389 4236 5083 5931 6778 7625 8472 9319 10167 - 6 3400 4250 5100 5950 6800 7650 8500 9350 10200 u 7 3411 4264 5117 5969 68^ 7675 8528 9381 10233 l < 8 3422 4278 5133 5989 6844 7700 8556 9411 10267 " 9 3433 4292 5150 6008 6867 7725 8583 9442 10300 " 10 3444 4306 5167 6028 6889 7750 8611 9472 10333 - 11 345.6 4319 5183 6047 6911 7775 8639 9503 10367 - 12 3467 4333 5200 6067 6933 7800 8667 9533 10400 - 13 347S 4347 5217 6086 6956 7825 8694 9564 10433 u 14 3489 4361 5233 6106 6978 7850 8722 9594 10467 « 15 3500 4375 5250 6125 7000 7875 8750 9625 10500 - 16 3511 4389 5267 6144 7022 7900 8778 9656 10533 u 17 3522 4403 5283 6164 7044 7925 8806 9686 10567 - 18 3533 4417 5300 6183 7067 7950 8833 9714 10600 " 19 3544 4431 5317 6203 7089 7975 8861 9747 10633 " 20 3556 1111 5333 6222 7111 8000 8889 9778 10667 " 21 3567 4458 5350 6242 7133 8025 8917 9808 10700 " 22 3578 4472 5367 6261 7156 8050 8944 9839 10733 " 23 3589 4486 5383 6281 7178 8075 8972 9869 10767 " 24 3600 4500 5400 6300 7200 8100 9000 9900 10800 " 25 3611 4514 5417 6319 7222 8125 9028 9931 10833 " 26 3622 4528 5433 6339 7244 8150 9056 9961 10867 » 27 3633 4542 5450 6358 7267 8175 9083 9992 10900 - 28 3644 4556 5467 6378 7289 8200 9111 10022 10933 " 29 3656 4569 5483 6397 7311 8225 9139 10053 10967 M 30 3667 4583 5500 6416 7333 8250 9167 10081 11000 20. BEATTY'S SHORT METHOD M D 4$ 3678 5$ 4597 6% 5517 1% 6436 Sfc 7356 9% 8275 10 % 11 % 12 % 11 1 9194 10114 11033 « 2 3689 4611 5533 6456 7378 8300 9222 10144 11067 u 3 3700 4625 5550 6475 7400 8325 9250 10175 11100 « 4 3711 4639 5567 6494 7422 8350 9278 10206 11133 " 5 3722 4653 5583 6514 7444 8375 9306 10236 11167 " 6 3733 4667 5600 6533 7467 8400 9333 10267 11200 « 7 3744 4681 5617 6553 7489 8425 9361 10297 11233 " 8 3756 4694 5633 6572 7511 8450 9389 10328 11267 " 9 3767 4708 5650 6592 7533 8475 9417 10358 11300 <> 10 3778 4722 5667 6611 7556 8500 9444 10389 11333 " 11 3789 4736 5683 6631 7578 8525 9472 10417 11367 w 12 3800 4750 5700 6650 7600 8550 9500 10450 11400 " 13 3811 4764 5717 6669 7622 8575 9528 10481 11433 u 14 3822 4778 5733 6689 7644 8600 9556 10511 11467 11 15 3833 4792 5750 6708 7667 8625 9583 10542 11500 " 16 3844 4806 5767 6728 7689 8650 9611 10572 11533 u 17 3856 4819 5783 6747 7711 8675 9639 10603 11567 " 18 3867 4833 5800 6767 7733 8700 9667 10633 11600 " 19 3878 4847 5817 6786 7756 8725 9694 10664 11633 " 20 3889 4861 5833 6805 7778 8750 9722 10694 11667 " 21 3900 4875 5850 6825 7800 8775 9750 10725 11700 " 22 3911 4889 5867 6844 7822 8800 9778 10756 11733 " 23 3922 4903 5883 6864 7844 8825 9806 10786 11767 " 24 3933 4917 5900 6883 7867 8850 9833 10817 11800 " 25 3944 4931 5917 6903 7889 8875 9861 10847 11833 " 26 3956 4944 5933 6922 7911 8900 9889 10878 11867 « 27 3967 4958 5950 6942 7933 8925 9917 10908 11900 « 28 3978 4972 5967 6961 7956 8950 9944 10939 11933 44 29 3989 4986 5983 6981 7978 8975 9972 10969 11967 " 30 4000 5000 6000 7000 8000 9000 10000 11000 12000 S O U o _^ , , ^R o © 3 ~ © 3 3 3 © © © © CQ © © © © © © § © © © © © o © © © © © © © © TH CQ tH CQ CO ^ IO CO fc- GO OS TH ** r 1 Vi C CO , fc- CO _^ t- CO ^ £r- T-1 X © © rH tH CO i© co 00 © tH CO IO CO © © OS GO t- co IO IO rH CO CQ T-1 © -1—1 o tH CQ CO «tf IO CO fc- X os 1-1 T-' >R 1 10 fc- © CO L- © oo L~ ^ CO t- © © o CO co © CO CO © CO CO © CO co © oo cq 1© CO r^ © GO CO IO CO 7—i © © CQ CO T*i IO IO CO fc- X OS TH ^ © © © © © © © © © © © © I© © IO © i© © IO IO © IO © OS fc- »o cq © fc- IO CQ © £- IO CQ © © H cq CO oo ^ I© co b- X os ^ 1 £- oo © t- CO © fc"" oo © t- CO co CO © «D CO © co CO CO CO © 00 [ co CO © CO CO © CO CO © CO CO © ! O rH cq CQ CO Tf ^H IO 'CO CO fc* X ^ [ CO t- © CO t- © CO t- © 00 fc"" © ! 00 co 1© CO TH © 00 co IO CO tH © fc- I i© rH £- CO os IO © CO CQ 00 "* © 1 o rH ^ CQ CQ CO Tfl T* IO IO CO t- ^. 1 o © © © © © © © © © © o © © § © © © © o © © o co 1© © 1© IO © IO © IO © IO © ! o H CQ CQ CO CO ^H IO IO 'CO >R 1 *> CO © fc- CO' © fc- CO © fc- CO © 1 TH CO 1© co GO © rH CO IO co X © IO 1 ^H GO © CO t- © CO t- © CO t- © 1 CO zo © CO co o CO co © CO co © ^H 1 CO CO © CO CO © CO CO © CO CO © 1 o © tH •H TH CQ CQ CQ CO' CO CO ^ © _^ CQ ^ X © T— CM CO r* 07 TO ^ IC CO t- X OS T-H 1-1 w © © © © © © © © © © © © © © o o © o © © © © © © T— 1 o o © © © © © CM CM CO ^ lO co fc- X S3 *^ tH c ~ © © © © — c © 3 *fc o o © © © © © © o o © © © © © © © © © X OS o X fc- cc IC ^ CO CM t-H OS © T " - CM CO ^ lO X) £- X © OS t— i © — — ^ ,-, © ~ © © Q ^ o © © © © © © © © © O o o © © © © © © GO o QC ^H CM © X cc "^ CI © X co 00 tH CM CO -^ ^+ LO ■cc lr- X X © o © — © s © © ifc o © © © © © © © © © o o © © © © © © © £* © ■<* tH X LO cm © CD CO © £- ^H t- ^ O^ 07 CO ^ ^ io ■CO' t- L- X o © © © © © © © © ^ o o © © © © © © © © © © o o © © © © © © © © © © CO o CM X ^ © CO CM X Tfl © CC CM CO tH tH o* CO CO ** ^ LO ■CC' CC' £- o © © © © © © © © © © ^ © o © © © © © © © © © © o o © © © © © © © © © iO o o lO © IO © LO © to © LO © iO T 1 1-1 CM o^ CO CO ^ Tf LO LO co © © J—J © © © © © © © \R o © © © © © © © © © © © o o © © © © © © © © © © ■^ o o CM CD © -H X CM CC © T* X ^ X tH 1-1 CM CM - © ^ CM T " H (M CO ^ lO CO t- 00 oa rH 1 — 1 Condensed Tenths. In this manner of counting interest, we condense the tenths. All interest is counted and carried to the left by tens, and we adopt the following plan in order to get divisors for the different rates per cent. Divide 36 by the rate per cent, and that will give us a divisor to divide the time or the principal. At 4$ it takes 9 days before we gain jL of a unit. At 6% it takes !± days. At Q% it takes 6 days. At 1% it takes 5| days. At 8% it takes 4£ days. At 9% it takes 4 days. At 10% it takes 3^ days. At 11$ it takes 3^ days. At 12f c it takes 3 days. 24. BEATTY'S SHORT METHOD 36 being one-tenth of 360 days, divide 36 by the rate per cent, and take the quotient as a divisor, for the time reduced to days. Multiply this by the principal and the result will be the interest, or divide the principal and multiply by the time. We can divide either the time or the principal, but in either case the quotient must be multiplied by the other factor, as we already have the tenths condensed and have the rate per cent, in the divisor. For 5$, 7$, 10$ and 11$ it is best to divide the entire time by 36 and then multiply by the rate per cent., as it is difficult to handle these small fractions as divisors. Example 1. Find the interest on $210.00 for 6 months at 8$. 6 months =180 days. 8) 36.00 210. 4.5)180 M 40 tenths or 4 cents. $8.40 Example 2. Find the interest on $6846.00 for 3 days at 6£. 6)6846 1141 3 $3.42,3 Example 3. Find the interest on $9729.00 for 5 days at 8$. 4.5)9729 2162 5 days $10.81,0 OF COMPUTING INTEREST. 25. Example 4. Find the interest on same sum, for 5 days at 6$. 6 )9729 W2iy 2 5 $8.10,7^ Find interest on same sum for same time at lf c . 86 )9729 270% 7 1891%' 5 $9.45,8% Observe that in the above examples we have but one-tenth below the zero line, and any fraction that is annexed either in the time or the principal, is cut off. In the fraction of a dollar, cut off two places and as many tenths, hundredths, thousandths, etc., as are annexed. In examples 2 and 4, where we divide the principal by 6, we get one-sixth of the principal, and by multi- plying the one-sixth by any number of days, and cutting off the right hand figure, we have the interest for the given number of days at %%. In the 4th example should we have any other per cent, than six, the interest can be obtained by dividing a second time by 6 or the whole principal by 36, and multiplying first by the rate per cent, and then by the time. When it occurs that the divisor for the rate per cent, equals the time, cut off the right hand dollar figure of the principal, and the interest remains. See following example: 26. BEATTY'S SHORT METHOD Find the interest on $6450.00 for 6 days, at 6%. 6)6450 107.5 $645.0 Find the interest on $6390.00 for 9 days at 4#. 9)6390 Answer $6. 39 ~710 9 639.0 LIBRARY OF CONGRESS f 027 3316589