What is 47½ per cent of £166. 13. 10 and ·6148 of £2971. 16. 9?
| 166·691 | |
| 40 p. c. | 66·6764 |
| 5 p. c. | 8·3346 |
| 2½ p. c. | 4·1673 |
| 79·1783 | |
| £79.3.6¾ | |
| 2971·837 | |
| ·6 | 1783·1022 |
| ·01 | 29·7184 |
| ·004 | 11·8873 |
| ·0008 | 2·3775 |
| 1827·0854 | |
| £1827.1.8½ | |
The inverse rule for turning the decimal of a pound into shillings, pence, and farthings, is obviously as follows:
A pair of shillings for every unit in the first place; an odd shilling for 50 (if there be 50) in the second and third places; and a farthing for every thousandth left, after abating 1 if the number of thousandths so left exceed 24.
The direct rule (with three places) gives too little, the inverse rule too much, except at the end of a sixpence, when both are accurate. Thus, £·183 is rather less than 3s. 8d., and 6s. 4¾d. is rather greater than £319; or when the two do not exactly agree, the common money is the greatest. But £·125 and £·35 are exactly 2s. 6d. and 7s.
Required the price of 17 cwt. 81 lb. 13½ oz. at £3.11.9¾ per cwt. true to the hundredth of a farthing.
| 3·590625 | ||
| 17 | ||
| 61·040625 | ||
| lb. | 56 ½ | 1·795313 |
| 16 ⅐ | ·512946 | |
| 7 ⅛ | ·224414 | |
| 2 ⅛ | ·064118 | |
| oz. | 8 ¼ | ·016029 |
| 4 ½ | ·008015 | |
| 1 ¼ | ·002004 | |
| ½ ½ | ·001002 | |
| £63·664466 | ||
| £63.13.3½ | ||
Three men, A, B, C, severally invest £191.12.7¾, £61.14.8, and £122.1.9½ in an adventure which yields £511.12.6½. How ought the proceeds to be divided among them?
| A, | 191·63229 | |
| B, | 61·73333 | |
| C, | 122·08958 | Produce of £1. |
| 375·45520)511·62708 | (1·362686 | |
| 136·17188 | ||
| 23·53532 | ||
| 1·00801 | ||
| 25710 | ||
| 3183 | ||
| 180 |
| 1·362686 | 1·362686 | 1·362686 | ||
| 92·236191 | 33·33716 | 85·980221 | ||
| 1·362686 | 8·17612 | 1·362686 | ||
| 1·226417 | 13627 | 272537 | ||
| 13627 | 9538 | 27254 | ||
| 8176 | 409 | 1090 | ||
| 409 | 41 | 122 | ||
| 27 | 4 | 7 | ||
| 3 | 8·41231 | 1 | ||
| 1 | 1·663697 | |||
| 2·611346 |