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$ 183. One number is said to be an aliquot part of another, when it forms an exact part of it: that is, when it is contained in that other' an exact num. ber of times.
For example, 25 cents is an aliquot part of a dollar. It is an exact fourth part, and is contained in the dollar four times. So also, 2 months, 3 months, 4 months, and 6 months, are all aliquot parts of a year.
TABLE OF ALIQUOT PARTS.
Parts of £1.
6 d=4 4 10
6s 8d 4 d= 74 5s
= 13 d 6
4s = } 2 d=i 5
3s 4d=1 lid= or } of 3
2s 6d=iid=' TO ls 8d
25 20 121 67 5
Ex. 1. What is the cost of 376 yards of cloth at $0,75 per yard ?
188 cost at 50cts.
Ans. $282. Had the cloth cost $1 per yard, the cost of the 376 yards would have been $376. Had it cost 50cts.
the cost would have been of $376, or it been 25cts. per yard, the cost would
of $376 or $94; but the price being 1, the cost is 188+94=$282.
Ex. 2. What is the cost of 196 yards of cotton, at 9d per yard ?
196yd at 6d or fs=98s
196yd at 3d or js=49s Therefore, 196yd at 9d or fs=147s=£7 7s. Ans.
3. What will 94 yards of cloth cost at £1 4s 6d per yard?
9 yards at £1=£9
4. What is the cost of 1000 quills at cent per
Ans. $2,50cts. 5. What is the cost of 900 lead pencils at 6 cents,
Ans. $54,00. 6. What is the cost of 2016 of soap at 6 cents per pound ?
Ans. $1,35. 7. What is the cost of 140 yards of tape at 2fcts.
Ans. $3,15. 8. What is the cost of 438 bushels of apples at 311cts. per bushel ?
Ans. $136,874 9. What is the cost of 514 tons of hay at 12 dolls.
per ton ?
10. What is the cost of 231 yards of linen at 75 cents per yard ?
Ans. $173,25. 11. What is the cost of 14427 of rice at 3 d per pound?
Ans. £2 2s. 12. What is the cost of 144 yards of cloth, at 47 dolls. per yard ?
Ans. $67,681 13. What will 13116 of cheese come to at ls 2d
per lb. ?
per acre ?
Ans. £7 12s 10d. 14. What will 144 dozen of eggs come to at ls 3d per dozen ?
Ans. £9. 15. What will 6gal. Iqt. lpt. 2gi. of wine come to, at 5s 4d per quart.
Ans. £6 17s 4d. 16. What will 51 acres of land be worth at £3 2s 2d
Ans £158 10s 6d. 17. What will 15cwt. 2gr. 1715. of sugar come to at ls per pound?
Ans. £87 13s. 18. What will 4E. E. 3qr. 2na. of broadcloth cost at £2 3s 8d per yard ?
Ans. £12 16s 64d. 19. What will lhhd. 2gal. 3qt. lpt. lgi. of molasses come to at 12}cts. per quart?
Ans. $32,95%. 20. What will be the cost of 27bu. 3pk. 6qt. Ipt. of wheat, at 10s 2d 3far per bushel ?
Ans. £14 5s 112 047 far.
SIMPLE INTEREST. $ 184. Interest is an allowance made for the use of money that is borrowed.
For example, if I borrow $100 of Mr. Wilson, for one year, and agree to pay him $6 for the use of it, the $6 is called the interest of $100 for one year, and at the end of the time Mr. Wilson should receive back his $100 together with the $6 interest, making the sum of $106.
§ 185. The money on which interest is paid, is called the Principal.
The money paid for the use of the principal is called the Interest.
The principal and interest taken together are call-
$100 is the principal
$106 is the amount.
cent. In the New England States, and indeed in most of the other states, the legal interest, that is, the rate of interest established by law, is 6 per cent.
In New York, however, it is 7 and in Louisiana 8 per cent.
CASE I. $ 136. To find the interest on any given principal for one or more years.
RULE. I. Multiply the principal by the rate of interest, and divide the product by 100 : the quotient will be the interest for one year.
II. When the number of years exceeds one, multiply the interest for one year by the number of years: the product will be the interest for that number of years.
Ex. 1. What is the interest of $650 for one year, at 6 per cent ?
$100 : $6 :: $650 : $39,00 Ans. It is plain, that $100 is to $6, its interest for one year, as $650 to its interest for the same time. The fourth term is found by multiplying the second and third terms together and dividing by the first, $ 109. Hence the reason of the rule is evident.
2. What is the interest on $950 for four years at per cent. perann. ?
4 number of years.
Ans. $266. 3. What is the interest of $327,45 for one year, at 6 per cent. perann. ?
We first multiply the $327,45 given sum $327,45 by
6 the rate of interest, 6 per 100)1964,70 cent., leaving two places
19,64,70 for decimals or cents at
Ans. 19 dolls. 64 cts. 7 m. the right hand. Then to livide by 100 we remove the decimal point two