$4,50, but for cash the bookseller will sell it at 33 per cent. discount; what is the cash price? Ans. $3,00, 160. A merchant bought a cask of molasses, containing 120 gallons for $42; for how much must he sell it to gain 15 per cent; how much per gallon?

Ans. to the last $,401. 161. A merchant bought a cask of sugar containing 740 pounds, for $59,20; how must he sell per pound to gain 25 per ceut?

Ans. $,10 cts.

162. What is the interest, at 6 per cent., of $71,02 for 17 months 12 days?

Ans. $6, 178+.

163. What is the interest of $487,003 for 18 months, at 6 per cent?

Ans $13,83+.

164. What is the interest of $8,50 for 7 months?

Ans. $,2974.

165. What is the interest of $1000 for 5 days?

Ans. $, 83 cts.

166. What is the interest for 50 cents for 10 years?

Ans. 30 cts.

167. What is the interest of $84,25 for 15 months and 7

days, at 7 per cent. !

168. What is the interest of $154,01 months and 3 days, at 5 per cent?

Ans. $7.48. for 2 years, 4 Ans. $18.032.

169. What sum, put at interest at 6 per cent., will, in 2

years and 6 months, amount to $150 ?

Ans. $130,434+. 170. I owe a man $175,50, to be paid in 16 months, without interest; what is the present worth of that debt, the use of the money being worth 6 per cent?

Ans. $440, 277+. 171. What is the present worth of $1000 payable in 4 years and 2 months, discounting at the rate of 6 per cent? Ans. $800. 172. A merchant bought articles to the amount of $500, and sold them for $575, what did he gain per cent.? Ans. 15 per cent. 173. A merchant bought cloth at $3,50 per yard, and sold it at $4,25 per yard, how much did he gain per cent? Ans. 21 per cent. 174. A man bought a cask of wine, coutaining 126 gallons, for $283,50, and sold it out at the rate of $2,75 per

gallon; how much did he gain on the whole; how much per gallon and how much per cent?

Ans. whole gain $63; per gallon $, 50, which is 223 per cent. 175. If $100 gain $6, in 12 months, in what time will it gain $14? Ans. 24 months. 176. In what time will $54,50, at 6 per cent., gain $2,18? Ans. 8 months. 177. 20 men built a certain bridge in 60 days, but it being carried away in a freshet, it is required how many men can rebuild it in 50 days? Ans. 24 men.

178. If a field will feed 7 horses 8 weeks, how long will it feed 28 horses? Ans. 2 weeks.

179. If a field, 20 rods in length, must be 8 rods in width to contain an acre, how much in width must be a field, 16 rods in length to contain the same?

have to line it?

Ans. 10 rods. 180. If I purchase for a cloak 12 yards of plaid § of a yard wide, how much bocking, 1 yards wide, must I Ans. 5 yards. 181. If a man earn $75 in 5 months, how long must he work to earn $460? Ans. 303 months. 182. A owes B $450, but A not being worth so much money, B agrees to take 75 cents on the dollar; what sum must B receive for the debt? Ans. $405.

183. A cistern, whose capacity is 400 gallons, is supplied by a pipe which lets in 7 gallons in 5 minutes, but there is a leak in the bottom of the cistern which lets out 2 gallons in 6 minutes, supposing the cistern empty, in what time would it be filled?

Ans. 6 hours 15 minutes. 184. A ship has a leak which will fill it so as to make it sink in 10 hours, it has also a pump which will clear it in 15 hours, now if they begin to pump when it begins to leak, in what time will it sink? Ans. 30 hours. 185. A cistern is supplied by a pipe which will fill it in 40 minutes; how many pipes of the same bigness will fill it in 5 minutes ?

Ans. 8.

186. Suppose I lend a friend $500 for 4 months, he promised to do me a like favor; some time afterward I have need of $300, how long may I keep it to balance the former favor? Ans. 6 months

187. Suppose 800 soldiers were in a garrison with provisions sufficient for 2 months; how many soldiers must depart, that the provisions may serve them 5 months? Ans. 480.

188. If my horse and saddle are worth $84, and my horse be worth 6 times as much as my saddle, pray what is the value of my horse?

Ans. $72. 189. Bought 45 barrels of beef at $3,50 per barrel, among which are 16 barrels, whereof 4 are worth no more than 3 of the others; how much must I pay?

Ans. $143,50. 190. Bought 126 gallons of rum for $110, how much water must be added to reduce the first cost to 75 cents per gallon? Ans. 20 gallons. 191. A thief having 24 miles start of the officer, holds his way at the rate of 6 miles an hour; the officer pressing on after him at the rate of 8 miles an hour; how long before he will overtake the thief? Ans. 12 hours. 192. In an orchard of fruit trees, of them bear apples,pears, plums, 60 of them peaches, and 40 cherries; how many trees does the orchard contain ?

Ans. 1200 trees.

The above example and others are usually wrought by the rule called Position, but they are more easily solved on general principles.

193. A and B commenced business with equal sums of money; A gained a sum equal to of his stock, but B lost $200, and then had only half as much as it, what was the original stock of each? Ans. $500.

194. By Ferguson's tables of specific gravities a cubic inch of pump water weighs 9,26 drams, and it is found on trial that a gallon of 231 cubic inches of cider weighs 10 ounces and 10 drams more than water; what then should the liquor in a barrel of 31 gallons weigh?

Ans. 284 pounds.

If the gallon be taken at 9 pounds it will answer for common purposes.

195. There are 7 chests of drawers, in each of which there are 18 drawers, and in each of these there are 6 divisions, in each of which is £16 68, 8d.; how much money is there in the whole ? Ans. £12348.

196. Bought a piece of cloth for $50, at 75 cents per yard, and sold of it at 10 per cent. gain, the remainder at 15 per cent. loss; what was the loss on the whole piece? Ans. $1,25.

197. A hare starts 12 rods before a hound, but is not perceived by him till she has been up 14 minutes; she scuds away at the rate of 36 rods a minute, and the dog on view makes after, at the rate of 40 rods a minute; how long will the course hold; and what distance will the dog run? Ans. 141 minutes, he will run 570 rods? 198. A person who was possessed of of a vessel, sold of his interest for £375; what was the ship worth at that rate ? Ans. £1500.

199. A man was hired for a term of 50 days on conditions, that for every day he worked he should receive 75 cents, and for every day he was idle he should pay 25 cents for his board; at the expiration of the time, he received $27,50, how many days did he work?

Ans. 40 days. 200. B and C purchased 1200 acres of land at one dollar per acre, each paying $600. Some time after, C on viewing it, offers to take a certain square piece at $1,75 per acre to the amount of his advance, to which B consents; how many acres will each have, what is the length of each side of C's lot, and what does B's part cost him per acre?

Ans. C has 342 acres, 3 roods, 17 rods.
B " 857 66 0 66 229

B's land is 70 cents per acre.
Side of C's =234 rods 3 ft. 6 in.

201. Bought 36 pipes of wine for $4536; how must I sell it a pipe to save one for my own use, and sell the rest for what the whole cost? Ans. $129,60 cts.

202. Two drovers meeting on their way,

And thus they said-" "Tis true,
If half your flock you give to me
I'll have just eighty-two.

66

Nay, friend," the other soon replied,

"Add but a third to mine

Of your best sheep-then I shall have
One hundred twenty-nine."

His answer was exactly true,
No scholar will impeach;

Then by your knowledge show to me
How many sheep had each?

Ans. A had 21.

B 66 122.

3

203. The hour and minute hands of a watch are exactly together at 12 o'clock; when are they next together? Ans. 1 hour 5 m. 27 sec. 204. If of 3 of of a ship be worth 3 of 3 of 13 of the cargo, valued at £1000, what did the ship and cargo cost? Ans. £1837 12s. 135d.

205. A and B have the same income; A saves of his, but B by spending $30 a year more than A, at the end of 8 years finds himself $40 in debt, what is their income, and what does each spend a year?

Ans. Income $200. A spends $175. $205.

B 66

206. Three parcels of beef, of 60 barrels each, were received at Baltimore from Boston, marked, viz: W. M. Y. The lot marked W. was found to be 50 per cent. better than the others. If the whole sold together at $10 per barrel, how must the sales be adjusted between the owners of the beef?

Ans. Y's 60 bbls. at $8,574=$514,284.

207. Just 16 yards of German serge
For 90 dimes had I;

How many yards of that same cloth
Will 14 eagles buy?

Ans. 248 yards, 3 qrs. 23 n. 208. A gentleman divided his fortune among his 3 sons, giving A 8 dollars as often as B 5, and C but 3 as often as B 7, yet C's share amounted to $1200; what was the father's estate? Ans. $8480.