New Orleans is 53 min. 30 sec.; what is their difference of longitude ? Ans. 13° 22' 30". 95. A strip of land is 10 rods wide; how long a piece must be cut off from it to make just of an acre ? Ans. 12 rds. 96. The diameter of a circle is 10 ft.; what must be the diameter of another circle to contain just ten times the area of the first? Ans. 31.62 feet. 97. The diameter of a ball weighing 10 lb. is 2 inches; what must be the diameter of a ball of the same material to weigh ten times as much ? Ans. 4.3 inches. 98. A merchant bought a lot of cloth which he marked } above cost. Owing to a sudden fall in prices he was obliged to sell it at one dollar a yard, which was one-third off the marked price; what did he lose per yard ? Ans. 25 cts. 99. Marked goods at an advance of 20% on the cost price; if I take off 20% from the marked price, do I gain or lose, and what per cent? Ans. I lose 4%. 100. Two men bought a barrel of flour for $9; one paid $44 and the other the rest; what part of the flour ought each to get for his share ? Ans. The 1st 7, and the other & 101. Galveston is 14° 43' west of Pittsburg. When it is noon at Galveston, what is the time at Pittsburg? Ans. 58 min. 52 sec. P. M. 102. The longitude of Rome is 20° 30' east and the ongitude of Baltimore is 76° 37' west. When it is 9 A. M. at Rome, what time is it at Baltimore? Ans. 2 h. 31 m. 32 sec. A. M. 103. Seld tea at 90 cts. a pound and gained 20%; what % could be gained by selling at $1 a lb. ? Ans. 331%. 10 104. A merchant retails goods at 30% above cost, but sells them by wholesale at 12% below the retail price; what does he gain per cent on goods sold at wholesale? Ans. 143%. 105. A merchant marked a piece of silk at 25% above cost, and then sold it at 20% below the marked price; did he gain or lose ? Ans. Neither. 106. How many shares of bank stock ($100) at 4% premium can be bought for $8320 ? Ans. 80 shares. 107. How much railroad stock at 121% discount, can be bought for $8750 ? Ans. 100 shares. 108. A broker bought stock at 4% discount, and selling the same at 5% premium, gained $450; how many shares did he buy? Ans. 50 shares. 109. For what must a cargo valued at $11520 be insured at 4% to cover both goods and premium? Ans. $12000. 110. A sold cloth to B and gained 10%; B sold it to C and gained 10% ; C sold it to D for $726 and gained 10%; how much did it cost A ? Ans. $545.454. 111. A and B together did io of a piece of work in 2 days, when, B leaving, A completed it in a day; in what time can each do it alone ? Ans. A in 5 days, B in 4 days. 112. In a company of 90 persons, there are 4 more men than women, and 10 more children than men and women together; how many of each in the company? Ans. 18 women, 22 men, 50 children. 113. How many bushels of wheat will fill a bin 8 ft. long, 5 ft. wide, and 4 ft. deep ? Ans. 128.57+ bu.. 114. How many square feet on the surface of a block 6 ft. long, 4 ft. wide, and 11 ft. thick? Ans. 78 sq. ft. fra Xo 115. There is a circular field 40 rods in diameter; what is its circumference and how many acres does it contain ? Ans. Circum. 125.664 rds.; area 7.854 acres. 116. How large a draft may be purchased for $2020, at 1% premium? Ans. $2000. 117. For what sum must a note be drawn so that when discounted for 63 days at 6%, the proceeds may be $1295 ? Ans. $1308.74. 118. Invested $6000 at 6% and received $750.42 as interest; how long was my money invested ? Ans. 2.0845 yrs. 119. A, B and C join their capitals, which are in the proportion of 1, } and 1. At the end of 4 months A withdraws one-half of bis capital, and at the end of 9 months more they divide their profits, $1420; what would each receive ? Ans. A, $510; B, $520; C, $390. 120. How many rods of fence will inclose 10 acres in the form of a square ? Ans. 160 rods. 121. A farmer wishes to put out 100 bu. of lime per acre on a field, putting 1 bu, on a heap in regular rows; how many feet apart must the rows be? Ans. 20.87 ft. 122. C and D engage in trade with different sums of money; Closes 40% of his capital, and D gains 50% of his, when their capitals are just equal; how much greater waz C's than D's when they began ? Ans. 24 times. 123. A room is 20 ft. long, 16 ft. wide, and 12 ft. high; what is the distance in a straight line from one of the lower corners to the upper opposite corner ? Ans. 28.28+ fect. \ 124. How many gallons of water will fill a circular cistern 6 ft. deep and 4 ft. in diameter ? Ans. 564.019 gallons. 122. D -125. How deep must a circular cistern be made to hold 1000 gallons, if the diameter is 6 ft.? Ans. 4.728 feet. 126. I have sold 50 bu. of wheat for A, and 60 bu. for B, receiving for both lots $150; if A’s wheat is worth 20% more than B's, how much ought I payeach? Ι Ans. $75. 127. Sold a cow for $30, by which I lost 16%%; afterwards sold a second at a gain of 10%, which exactly covered my loss on the first; what was the second cow sold for? Ans. $66. 128. If I lose 12% by selling sugar at $8 per cwt., what per cent do I gain or lose by selling it at $9 ? Ans. Lose 1%. 129. The increase of a flock of sheep was 228, and this was 12% on the original number ; what was the original number? Ans. 1900. 130. of the price received for an article is equal to of its cost; what is the gain per cent ? Ans. 123%. 131. How much grain must I take to mill to bring away 2 bushels after the miller has taken 10 per cent for toll? Ans. 23 bu. 132. Sold tea at 30 cts. above cost and gained 163%; what was the tea sold for ? Ans. $2.10. 133. When gold was worth 50 per cent more than currency, what was the value in gold of a dollar bill? Ans. 66 cts. 134. A and B traded in company and gained $750, of which B's share was $600 ; A's stock was $1200; what was B's stock ? ins. $4800. 135. If 8 men cut 84 cords of wood in 12 days, working 7 hours a day, how many men will cut 150 cords in 10 days, working 5 hours a day? Ans. 24 men. 7136. What is the difference between the true discount and the bank discount of $359.50 for 90 days, without grace, at 12%? Ans. $.315. 37. A man bought stock at 25% below par and sold it at 20% above par ; what per cent did he make? Ans. 60%. 138. What must I ask for cloth costing $4 a yard, I that I may deduet 20% from my asking price and still make 20%? Ans. $6 per yd. 139. An agent received $502.50 to buy cloth, after deducting 1% commission ; how many yards did he buy at $1.25 a yard ? Ans. 400 yds. 140. A, B and C gain by trade $5200. A's stock was $2400, which was of B's, and B's was of C's; what was the gain of each? Ans. A, $1200; B, $1600; C, $2400. 141. A and B take a contract of street-paving for $3300. A employs 50 men 20 days, and B, 40 men 30 days; how much shall each receive ? Ans. A, $1500; B, $1800. 142. A man engages 30 men, 40 women and 50 boys to do a piece of work; each man is to receive one-third more per day than a woman, and each woman one-fourth more than a boy. They receive $600 for the work; what does each man, woman and boy receive ? Ans. Each man $63, each woman $5, each boy $4." -143. What is the present value of 3 notes of $1000 each, due in one, two and three years respectively, money worth 6%? Ans. $2683.71. 144. A, B and C engaged in business, gain $4800 ; A's stock was $4000, B's $6000, and C's gain, $1200; required C's stock and A and B's gain? Ans. C's stock, $3333}; A's gain, $1440; B's, $2160. 7143. |