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Note. It is usual at the custom-house to add 10 per cent. to the invoice before casting the duties. 10 per cent. on $157.37 is $15.737, which, added to $157.37 makes $163.107. The duties must be reckoned on. $163.107. When the duties are stated at 15 per cent. they will actually be 16 per cent. on the invoice; because 15 per cent. on will amount to 1 per cent. on the whole. It will be most convenient generally to reckon the duties at 16 per cent., instead of adding of the sum and then reckoning them at 15 per cent. When the duties are at any other rate, the rate may be increased of itself, instead of increasing the invoice. For instance, if the rate is 10 per cent. call it 11 per cent., if the rate is 14 per cent. call it 15 per cent., then the multiplier will be .154. If the rate is 12 per cent., that is .125, of this is .0125, which added to .125 makes .1375 for the multiplier.

71. What is the duty on a quantity of tea, of which the invoice is $215.17, at 50 per cent.?

72. What is the duty on a quantity of wine, of which the invoice is $873, at 40 per cent. ?

73. What is the duty on a quantity of saltpetre, of which the invoice is $1157, at 74 per cent.?

74. Imported a quantity of hemp, the invoice of which was $1850, the duties 131 per cent. What did the hemp amount to after the duties were paid? 75. Bought a quantity of goods for $58.43, but for cash the seller made a discount of 20 per cent. What did the goods amount to after the discount was made? 76. Ă merchant bought a quantity of sugar for $183.58, but being damaged he sold it so as to lose 7 per cent. How much did he sell it for?

77. Bought a book for $.75, but for cash a discount of 20 per cent. was made. What did the book cost? 78. Bought a book for $4.375, but for cash a discount of 15 per cent. was made. How much did the book cost?

79. What is the interest of $43.25 for 1 year, at 6 per cent.?

80. What is the interest of $183.58 for 1 year at 7 per cent.?

81. At 6 per cent. for 1 year, what would be the rate per cent. for 2 years? For 3 years? For

4 years?

For 2 months?

82. At 6 per cent. for 1 year, what would be the rate per cent. for 6 months? 4 months? For 1 month? 5 months? For 7 months?

For 3 months?

For 8 months?

9 months? For 10 months? For 11 months?

For

For

For

83. At 6 per cent for 1 year, what would be the rate per cent. for 13 months? For 14 months? For 1 year and 5 months?

84. If the rate for 60 days is 1 per cent., or .01, what is the rate for 6 days? For 12 days? For 18 days? For 24 days? For 36 days? For 42 days? For 48 days? For 54 days?

.001.

of,

Note. The interest of 6 days is per cent., that is The interest of 1 day therefore will be or per cent., or .00016. The rate for 2 days twice as much, &c. In fact the rate for the days may always be found by dividing the number of days by 6, annexing zeros if necessary, and placing the first figure in the place of thousandths, if the number of days exceeds 6.

6

85. What is the interest of $47.23 for 2 months, at cent, ?

per

Note. When the rate per cent. is stated without mentioning the time, it is to be understood for 1 year, as in the following examples.

86. What is the interest of $27.19 for 4 months, at 6 per cent. ?

87. What is the interest of $147.96 for 6 months, at 6 per cent.?

88. What is the interest of $87.875 for 8 months, at 6 per cent. ?

89. What is the interest of $243.23 for 14 months, at 6 per cent.?

90. What is the interest of $284.85 for 3 months, at 6 per cent. ?

91. What is the interest of $28.14 for 5 months, at 6 per cent.?

92. What is the interest of $12.18 for 7 months, at 6 per cent.?

93. What is the interest of $4.38 for 9 months, at 6 per cent.?

94. What is the interest of $15.125 for 11 months, at 6 per cent. ?

95. What is the interest of $127.47 for 2 months and 12 days, at 6 per cent.?

96. What is the interest of $873.62 for 4 months and 24 days, at 6 per cent. ?

97. What is the interest of $115.42 for 7 months and 15 days, at 6 per cent.?

98. What is the interest of $516.20 for 11 months and 23 days, at 6 per cent.?

99. What is the interest of 143.18 for 1 year, 7 months, and 14 days, at 6 per cent. ?

100. A gave B a note for $357.68 on the 13th Nov. 1819, and paid it on the 11th April, 1822, interest at 6 per cent. How much was the principal and interest together at the time of payment?

101. A note for $843.43 was given 5th July, 1817, and paid 14th April, 1822, interest at 6 per cent. How much did the principal and interest amount to?

102. A note was given 7th March, 1818, for $587; a payment was made 19th May, 1819 of $153, and the rest was paid 11th Jan. 1820. What was the interest on the note?

103. What is the interest of $157 for 2 years, at 5 per cent.?

104. What is the interest of 13£. 3s. 6d. for 1 year, at 6 per cent.?

Note. If the shillings be reduced to a decimal of a pound, the operation will be as simple as on Federal

money. The following is a more simple method of changing shillings to decimals, than the one given above. part of 20s. is 2s., therefore every 2s, is £. or.1£. Every shilling is, that is £. or .05£. 3s. then is .1£. and .05£., or .15£.

13

2

960

25

In 1. there are 960 farthings. 1 farthing then is of 1£. 6d. is 24 farthings, consequently 24 of a £. These are rather larger than thousandths, but they are so near thousandths that in small numbers they may be used as thousandths. ££. when reduced, and 960 125£.£., so that 24 farthings are exactly £. or .025£. If the number of farthings is 13 they will be£. and rather more than of another thousandth. This may be called or .014, and the error will be less than of Tooo. If the number of farthings be less than 12 they may be called so many thousandths, and the error will be less than of To. If the number of farthings is between 12 and 36 add 1 to them, if more than 36 add 2, and call them so many thousandths; and the result will be correct within less than of too. 48 farthings make 1 shilling, therefore there will never be occasion to use more than this number. From the above observations we obtain the following rule. Call every two shillings one tenth of a pound, every odd shilling five hundredths, and the number of farthings in the pence and farthings so many thousandths, adding one if the number is between twelve and thirty six, and two if more than thirty six.

It will be well to remember this rule, because it will be useful in many instances, particularly in changing English money to dollars and cents, and the contrary.

13£. 3s. 6d. then is reduced as follows: 2s.=.1£. 1s..05£. and 6d. 24 farthings:025£. and the whole is equal to £13.175.

13.175
.06

£.79050 Ans.

100

40

40

5

7

To change the result to shillings and pence it is necesssary to reverse the above operation. The .7 or are 14s. The .09 or are 50+10%. The are 1s. and the are 10, or 40 farthings; then taking out 2, because the number is above 36, we have 38 farthings, or 9d. 2qr.; and the whole interest is 15s. 9d. 2qr.

105. What is the interest of 13£. 15s. 3d. 2qr. for 1 year and 6 months, at 6 per cent.?

106. What is the interest of 4£. 11s. 8d. 1qr. for 9 months and 15 days, at 6 per cent.?

107. What is the interest of 137£. Os. 9d. from 13th May, 1811, to 19th July, 1815, at 6 per cent.?

108. What is the interest of 137£. 17s. 2d. from 11th Jan. 1822, to 15th August, at 6 per cent.?

109. What is the interest of 17£. 9s. from 1st June, 1819, to 17th Aug. 1820, at 6 per cent.?

110. What is the interest of 13s. 4d. from 17th June, 1818, to 28th Aug. 1821, at 6 per cent.?

111. What is the interest of 4s. 8d. 2qr. for 7 months and 3 days, at 6 per cent.?

112. What is the commission on 143£. 13s., at 5 per cent. ?

113. What is the duty on a quantity of goods, of which the invoice is 257£. 19s. 4d., at 15 per cent.?

N. B. The above examples in pounds, shillings, &c. apply equally to English and to American money.

Division of Decimals.

XXVIII. 1. If 5 barrels of cider cost $18.75, what it that per barrel ?

2. A man bought 17 sheep for $98.29, what was the average price?

3. Divide $183.575 equally among 5 men. How much will each have?

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