86. A Syracuse coal dealer bought (at wholesale) at a mine in Penn. 1540 tons anthracite coal at $3.50 per ton. The $2040, and the loss in transportation The coal was retailed at $5.50 per ton.

freight to Syracuse was was estimated at $510. What was the gain?

87. Sold 5000 pounds of sugar at 9 cents per pound, and lost 10 per cent; what per cent should I gain by selling it at 12 cents per pound?

B

88. Three persons purchased a horse together. A gave $20, gave 40 per cent more than A, and C gave 15 per cent less than both the others. What fractional part of the horse does each own?

89. A man bought 1000 bushels of wheat for $1250. He finds 15% of it worthless. For how much must he sell the remainder per bushel to gain 20% on the cost?

90. At what rate per cent must I invest $600, that in 2 yr. 6 mo. it may amount to $705 ?

91. For what sum must a note be written in order to receive from a bank $540 at 6% for 60 days?

92. If 6 men dig a trench 15 yards long, 4 yards broad, and 5 feet deep, in 3 days of 12 hours, in how many days of 8 hours will 8 men dig a trench 20 yd. long, 8 yd. broad, and 8 ft. deep? 93. What sum, put at simple interest at 7% per annum, will amount in 3 yr. 4 mo. to $2500?

94. The interest on a certain sum, for 2 years at 7%, is $5.871. What is the true discount on the same sum for the same time, at the same rate?

95. A merchant bought a certain number of yards of cloth at $2.50 per yard. He sold two-fifths of the cloth at a profit of 25%, and on the sale of the remainder he lost $15. If his loss on the whole transaction amounted to 5%, how many yards of cloth did he buy?

96. If it cost $95.60 to carpet a room 24 × 18 ft., how much will the same kind of carpet cost for a room 38 × 22 ft. ?

97. What sum of money is that of which, if 80% be deposited in bank, and 20% of this deposit be withdrawn, there will remain $5760 in bank?

98. A lawyer collecting a note at a commission of 8%, received $6.80; what was the face of the note?

99. Bought stock at par, and sold it at 3% premium, thereby gaining $750; how many shares of $100 each did I buy ?

100. What is the amount of $16941.20 for 1 yr. 7 mo. 28 da., at 43%, simple interest.

101. An investment of $7266.28 yields $744.7937 annually; what is the rate of interest?

102. In what time will $273.51 amount to $312864, at 7%, simple interest?

103. What is the difference between the interest and the true discount of $576, due 1 yr. 4 mo. hence, at 6% ?

104. Three men gain $2640, of which B is to have $6 as often as C $4 and A $2; what is each one's share?

105. Find the square root of 10795.21 to three decimals. 106. What is the length of one side of a square piece of land containing 40 acres?

107. A room, the height of which is 11 feet and the length twice the breadth, takes 143 yards of paper 2 feet wide to cover its walls, door and windows included; how many yards of carpet 27 inches wide will be required for the floor?

108. In a rectangular cistern the length is 12 feet, the width is 5 ft., and depth 3 ft.; find the diagonal through the centre of the rectangular space. Find the weight of water in pounds it will contain, if a cubic foot of water weighs 1000 ounces.

109. A man sawed a pile of wood 40 ft. long, 4 ft. wide, 5 ft. high, for $1.50 per cord. How much did he earn?

110. What will be the cost of 35 three-inch planks 22 ft. long, 16 inches wide, at $17.50 per M. ?

111. How many bushels will a bin hold that is 9 ft. long, 6 ft. wide, 6 ft. high?

112. A note was given Jan. 1, 1880, for $700. The following payments were indorsed upon it: May 6, 1880, $85; July 1, 1881, $40; Aug. 20, 1881, $100. How much was due Jan. 10, 1882, interest at 6 per cent?

113. At what price must 5 per cent bonds be bought so as to realize 7 per cent on the investment ?

114. What will be the cost in Buffalo, N. Y., of a draft for $1500 on Cleveland, O., payable 90 days after date, exchange per cent discount?

115. If I place $1500 at interest for 18 months, and receive $135 interest, what sum must I place at interest at the same rate, that I may receive $275 interest in 8 months?

116. The length of a rectangular field containing 20 acres is twice its width; what is the distance around it ?

117. Find the amount of $387.20, from Jan. 1 to Oct. 20, 1881, at 7 per cent.

118. A man was offered $3675 in cash for his house, or $4235 in three years without interest. He accepted the latter offer; did he gain or lose, and how much, money being worth 7 per cent?

119. What are the proceeds of a note for $368, at 90 days, discounted at bank at 6 per cent?

120. The height of the Obelisk, known as Cleopatra's needle, at N. Y. Central Park, is 70 feet, nearly; the diameter of the base is about 8 feet. What is the length of a line drawn from the apex to a point 36 ft. from the middle of one side of the base?

121. A ship sails east from Boston, long. 71° 10′, at the rate of 2° 30′ 20′′ in a day; what is her long. at the end of 6 days? 122. If a man wastes 5 minutes a day, how much time will he waste in a common year?

123. How many cu. ft. of water must be drawn from a reservoir 30 ft. 6 in. long and 20 ft. 6 in. wide, to lower the surface 8 inches?

124. The Signal Service reports that 3 in. of rain fell in 24 hours; how many cu. yd. fell on an acre of ground?

125. What is the difference between 35 square rods and 35 rods square?

126. If a bird can fly 123 miles in hour, how far can it fly in 5 hours?

127. If 3 cheeses weigh 35ğ, 44%, and 27 lb., what is their entire weight? What is their average weight?

128. If 4 is added to both terms of the fraction, will the value be increased or diminished, and how much?

129. A lad having 3 quarts of berries, ate of them, sold of the remainder, and divided the rest between his two companions; how many did each receive?

130. My gas bill was $12 when I burned 4800 feet of gas; what will it be when gas costs more, and I burn 1600 ft. less? 131. The difference in time between Greenwich and St. Louis is 5 hr. and 55 min.; what is the difference in longitude?

132. How many cubic feet in 10 boxes, each 7 ft. long, 12 ft. wide, and 14 ft. high?

16

133. If of a saw-mill are worth $631.89, what are of it worth?

134. Find the difference in time between two places whose difference of longitude is 5° 40'.

135. The Hoosac Tunnel is 25000 feet long; Mount Cenis Tunnel, which connects France and Italy, is 12 kilometers. What fraction of the latter is the former ?

136. A broker received $25250.50 to invest in stocks, after deducting his commission of 21%; what was his commission, and how much did he invest?

137. A grain dealer sent a boat-load of corn to market, valued at $2000, and insured 62% of its value at 11%; what premium did he pay?

138. If I sell wood at $7.20 per cord, and gain 20 per cent, what did it cost me per cord?

139. If 5 men can harvest a field in 12 hours, how many hours would it require if 4 more men were employed?

140. If 15 oxen or 20 horses eat 6 tons of hay in 8 weeks, how much will 12 oxen and 28 horses require in 21 weeks?

141. What must be the depth of a cubical cistern that will hold 3048.625 cubic feet of water?

142. How many tiles 8 in. square will cover a floor 18 ft. long and 12 ft. wide?

143. What per cent of a mile is 150 rd. 2 yd. 24 ft.?

144. The assets of a bankrupt are $65000, and his liabilities $85500; what per cent can he pay?

145. A merchant reduced the price of a piece of cloth 15 cts. per yd.; and thereby reduced his profit on the cloth from 12 to 8%; what was the cost of the cloth?

146. How many feet are there in 65% of a mile?

147. A man whose income was $2700 spent $1500; what per cent of his income remained?

148. Paid $8000 for stock 12% below par, and sold it at 115; what per cent did I gain?

149. If A loans B $500 for 6 mo., how long ought B to lend A $800 to requite the favor?

150. The ratio is 31, the antecedent of; what is the consequent ?

151. How long will it take 12 men to do a job which 7 men can do in 15 days?

152. What is the difference between the cube and the cube root of .027?

153. What are the dimensions of a cube equal to a bin 12 ft. 6 in. long, 10 ft. wide, and 5 ft. high?

154. The longitude of Boston is 71° 10' W., and that of New Orleans is 90° 2' W.; what is the time at New Orleans when it is 7 o'clock 12 min. A. M. at Boston?

155. What will be the wages of 9 men for 11 days, if the wages of 6 men for 14 days be $84?

156. For how much must I make my note at bank for 3 mo. at 6%, in order to get from the bank just $300?

157. Bought a horse for $125, and sold it for 20% advance; sold a carriage for $125, gaining 25%; sold a yoke of oxen for $125, losing 20%; bought ten sheep for $125, and sold them at a loss of 25%. What did I gain or lose on the whole?

158. Of two pieces of land, the one a circle 18 rods in diameter, the other a triangle whose hypothenuse is 30 rods, and whose base is 24 rods, which is the larger, and how much?

159. The length of a block of marble containing 105 cu. in. is 7 inches; find the length of a similar block containing 22680 cubic inches.

160. The sum of two fractions is 113, and their difference 8; what are the fractions?

161. A person expended 16% of all he was worth in buying 20% of the stock of a mining company. If the entire stock of the company sold for $100000, what was the person worth?