98. How many times is contained in 42 ? 99. Divide 42 by ã. 100. 34 is of what number? 191. How many times is contained in 345? 102. Divide 31 by 103. 13} is 6 of what number? 104. How many times is 24 or a contained in 137? 105. Divide 134 by 24. 106. A merchant sold a quantity of goods for $252.00, which was of what it cost him ? How much did it cost him, and how much did he gain ? 107. A merchant sold a quantity of goods for $243.00, by which he gained of the first cost. What was the first cost, and how much did he gain ? Note. If he gained s of the first cost, $243.00 must be g of the first cost. 108. A merchant sold a quantity of goods for $3,846.00, by which bargain he gained of the first cost. What was the first cost, and how much did he gain ? 109. A merchant sold a hhd. of wine for $108.13, by which bargain he gained of the first cost. What was the first cost per gallon ? 110. A merchant sold a bale of cloth for $347.00, by which he gained ; of what it cost him ?. How much did it cost him, and how much did he gain ? Note. If he gained of the first cost, $347.00 must be iš of the first cost. 111. A merchant sold a quantity of flour for $147.00, by which he gained of the cost. How much did it cost, and how much did he gain ? 112. A merchant sold a quantity of goods for $6,487.00, by which he gained 1 of the cost. How much did he gain? 113. A merchant sold a quantity of goods for $187.00 by which he lost of the first cost. How much did it cost, and how much did he lose ? Note. If he lost of the cost, $187.00 must be of the cost. 114. A merchant sold a quantity of molasses for $258.00, by which he lost į of the cost. Flow much did it cost, and how much did he lose ? 115. A merchant sold a quantity of goods for $948.00, by which he lost 1 of the cost. How much did he lose ? 116. A merchant sold 3 hhds. of molasses for $67.23, by which he lost žo of the first cost. How much did he lose ? How much on a gallon ? 117. A merchant sold 93 yards of cloth for $527.43, by which he lost ts of the cost. How much did he lose on ai yard? 118. A merchant sold a quantity of goods so as to gain $43, whịch was of what the goods cost him. How much did they cost? 119. A merchant sold a quantity of goods for $273.00, by which he gained 10 per cent. on the first cost. How much did they cost? Note. 10 per cent is 10 dollars on a 100 dollars, that is, 10 10 per cent of the first cost therefore is too of the first cost. Consequently $273.00 must be 16 of the first cost. 120. A merchant sold a quantity of goods for $135.00, by which he gained 13 per cent. How much did the goods cost, and how much did he gain ? 121. A merchant sold a quantity of goods for $3,875 b, which he gained 65 per cent. How many dollars did he gain? 122. A merchant sold a quantity of goods for $933.00, by which he lost 12 per cent. How much did the goods cost and how much did he lose ? Note. If he lost 12 per cent., that is too, he must have sold it for 10 of what it cost him. 123. A merchant sold 3 bhds, of brandy for $248.37, by which he lost 25 per cent. How much did the brandy cost him, and how much did he lose ? 124. A merchant sold a quantity of goods for $87,00 more than he gave for them, by which he gained 13 per cent. of the first cost. What did the goods cost him, and how much did he sell them for ? Note. Since 13 per cent is 16, $87 must be 10% of the first cost. 125. A merchant sold a quantity of goods for $43.00 more than they cost, and by doing so gained 20 per cent. How much did the goods cost him ? 126. A merchant sold a quantity of goods for $137.00 less than they cost him, and by doing so lost 23 per cent. Hour much did the goods cost, and how much did he sell them for ? 127. A has tea which he sells B for 10d. per Ib. more than it cost him, and in return B sells A cambrick, which cost him 10s. par yd., for 12s. 6d. per yard. The gain on each was in the same proportion. What did A's tea cost him per lb. ? Note. B gains 2s. 6d. on a yard, which is of the first cost, consequently 10d. must be of the first cost of the tea? 128. C has brandy which he sells to D for 20 cents per gal. more than it cost him; and D sells C molasses which cost 23 cents per gal. for 32 cents per gal., by which D gains in the same proportion as C. How much did C's brandy. cost him per gal. ? 129. A man being asked his age, answered, that if to his age ż and į of his age be added, the sum would be 121. What was his age ? 130. A man having put a sum of money at interest at 6 per cent., at the end of 1 year received 13 dollars for interest. What was the principal ? Note. Since 6 per cent is too of the whole, 13 dollars mast be too of the principal. 131. What sum of money put at interest for 1 year will gain 57 dollars, at 6 per cent. ? 132. A man put a sum of money at interest for 1 year, at 6 per cent., and at the end of the year he received for principal and interest 237 dollars. What was the principal ? . Note. Since 6 per cent. is 16 , if this be added to the principal it will make it, therefore $237 must be 188 of the principal. When the interest is added to the principal the whoie is called the amount. 133. What sum of money put at interest at 6 per cent. will gain $53 in 2 years ? Note. 6 per cent. for 1 year will be 12 per cent. for 2 years, 3 per cent. for 6 months, 1 per cent. for 2 months, &c. 134. What sum of money put at interest at 6 per cent till gain $97 in one year and 6 months ? 135. What sum of money put at interest at 6 per cent. will amount to $394 in 1 year and 8 months ? 136. What sum of money put at interest at 7 per cent. will amount to £183 in 1 year ? 137. What sum of money put at interest at 8 per cent. will amount to $137 in 2 years and 6 months ? 138. Suppose I owe a man $287 to be paid in one year without interest, and I wish to pay it now; how much ought I to pay him, when the usual rate is 6 per cent. ? Note. It is evident that I ought to pay him such a sum, as put at interest for 1 year will amount to $287. The question therefore is like those above. This is sometimes called discount. 139. A man owes $847 to be paid in 6 months without interest, what ought he to pay if he pays the debt now, al lowing money to be worth 6 per cent. a year ? 140. A merchant being in want of money sells a note of $100, payable in 8 months without interest. How much ready money ought he to receive, when the year!y interest of money is 6 per cent. ? 141. According to the above principle, what is the difference between the interest of $100 for 1 year, at 6 per cent. and the discount of it for the same time? 142. What is the difference between the interest of $500 for 4 years at 6 per cent., and the discount of the same sum for the same time ? A Miscellaneous Examples. In measuring surfaces, such as land, &c. a square is used as the measure or unit. A square is a figure with four equal sides, and the four corners or angles equal. The square is used because it is more convenient B tor a measure than a figure of any other form. The figure A B C D is a square. The sides are each one inch, consequently it is called a square inch. A figure one foot long and one foot wide is called a square foot; a figure one yard long and one yard wide is called a square yard, &c. D 1. If a figure one inch long and one inch wide contains one square inch, how many square inches does a figure one inch wide and two inches long contain ? How many square inches does a figure one inch wide and three inches long contain ? Four inches long? Five inches long? Seven inches long? 2. In a figure 8 inches long and 1 inch wide, how many square inches ? How many square inches does a figure 8 inches long and 2 inches wide contain ? 3 inches wide ? 4 inches wide ? 5 inches wide ? 8 inches wide ? 3. If a figure 1 foot wide and 1 foot long contains 1 squaro foot, how many square feet does a figure 1 foot wide and 2 feet long contain ? How many square feet does a figure i foot wide and 3 feet long contain ? 5 feet long ? 9 feet long! 15 feet long? 4. In a figure 9 feet long and 1 foot wide, how many square feet? How many square feet does a figure 9 feet long and 2 feet wide contain ? 3 feet wide? 5 feet wide ? 7 feet wide ? 9 feet wide ? 5. How many square inches does a figure 13 inches long and 1 inch wide contain ? 2 inches wide ? 3 inches wide ? 8 inches wide ? 6. How many square feet does a figure 16 feet long and i foot wide contain ? 2 feet wide ? 3 feet wide ? 5 feet wide ? 8 feet wide ? 13 feet wide! In the above examples supply yards, rods, furlongs, and miles, instead of inches and feet, and perform them again. 7. What rule can you make for finding the number of square inches, feet, yards, &c. in any rectangular figure ? Note. A figure with four sides, which has all its angles alike or right angles, is called a rectangle, and a rectangle is called a square when all the sides are equal. 8. How many square feet in a room 18 feet long and 13 feet wide ? 9. How many square feet in a piece of land 143 feet long and 97 feet wide ? 10. How many square rods in a piece of land 28 rods long and 7 rods wide ? 11. A piece of land that is 20 rods long and 8 rods wide, or in any other form containing the same surface, is called How many square rods in an acre ? an acre. |