147. $360.

MOBILE, ALA., June 24, 1892.

Three months after date, for value received, I promise to pay D. C. Morgan, or order, Three Hundred Sixty Dollars, with interest at 6%. A. B. HENRY.

This note was discounted at a bank at 6%, July 15, 1892. What were the proceeds?

148. A hollow sphere whose diameter is 6 inches weighs as much as a solid sphere of the same material and diameter. How thick is the shell?

149. A train started on a trip of 245 miles at 35 miles an hour, but after having gone 140 miles it was delayed 20 minutes. If it finished the trip at the rate of 30 miles an hour, how much behind time was it?

150. Twenty per cent of a barrel of oil leaked out. What per cent must be gained on the remainder that a gain of 10% may be realized on the cost of the oil?

151. How much alloy must be mixed with 2 lb. 2 oz. 15 pwt. 19 gr. of pure gold, to make gold 18 carats fine?

152. A and B traded with equal sums of money. A gained a sum equal to of his capital, and B lost $220. B then had as much as A. How much capital had each at first?

153. A man invested of his money in a foundry, expended of what he had left in building a house, and still had $4671. How much money had he at first?

6

154. If in selling cloth of the gain is equal to 3 of the selling price, for how much will 3 yards sell that cost $5 per yard?

155. A teacher agreed to teach 9 months for $ 562 and his board. At the end of the term, on account of two months' absence caused by sickness, he received only $409. What was his board worth per month?

156. A person after spending $40 more than .6 of his money had $60 less than .42% of it left. How much money had he at first?

157. What is the greatest number which will divide 27, 48, 90, and 174, and leave the same remainder in each case?

158. The gross earnings of a mill were $365,816.92. The entire expenses exclusive of repairs were $318,214.84; the repairs were .06 of the earnings. If the net profits were divided equally among 8 shareholders, what was the share of each ?

159. A grain dealer expended a certain sum of money in the purchase of wheat, 1 times as much in the purchase of barley, and twice as much for oats. He sold the wheat at a profit of .05 of the cost, the barley at a profit of .08, the oats at a profit of .1, receiving for all the grain $9740. What did he pay for each kind of grain?

160. I wish to raise $550 by having my note discounted at a bank for 2 mo. 15 da. at 6%. What must be the face

of the note? (Allow days of grace.)

161. A farmer sold a team of horses for $440, but did not receive his pay for them until 1 yr. 8 mo. after the sale. He had at the same time another offer of $410 for them. Did he gain or lose by the sale and how much, money being worth 6%?

162. A weight of 240 pounds, suspended on a pole 4 feet in length, the point of suspension being 6 inches from the middle, is carried by two men, the ends of the pole resting on their shoulders. How much of the weight is borne by each man?

163. A and B invested equal sums in business. A gained a sum equal to 25% of his stock, and B lost $225. A's money at this time was double that of B's. What amount did each invest?

164. A owned two farms for the better of which he asked 50% more than for the other. Not finding a purchaser, he reduced the price of the better 331%, and the price of the other 20%, and sold them both for $5580. What was the price asked for each?

165. A merchant bought a bill of goods amounting to $3257 on a credit of 3 months, but was offered a discount of 21% for cash. How much would he have gained by paying cash, money being worth 7%?

166. Which is better for me, to buy 6% bonds at 72%, or to invest my money in mortgages bearing 8%? How much better is it?

167. A machine shop was insured at an annual rate of 3%, the premium paid being $750. For how much was it insured?

168. A merchant bought broadcloth at a discount of 25% from the marked price, receiving besides a discount of 5% for cash. If he sold it at an advance of 10% on the marked price, what was his gain per cent?

169. A commission merchant received 35,000 bushels of oats, which he sold at 32 cents per bushel. He was instructed to invest the proceeds, together with $4000 cash sent him, in prints at 5 cents per yard. If his commission both for buying and for selling was 2%, how many yards of prints did he buy?

170. I find that I owe A 50% more than I owe C, and B 33% more than I owe A. Now if I owe B $800 more than I do C, how much is my indebtedness to each?

171. A started in business with a capital of $4000, and at the end of 5 years he was joined by B with a capital of $5000. Three years later they were joined by C with a capital of $6000. If at the end of 15 years after the commencement of business the profits, which amounted to $18,240, were divided, how much was each one's share?

172. How many shares of stock, at 1131, can a broker purchase for me with $22,675, brokerage %?

173. I am offered 6% stock at 84, and 5% stock at 72. Which investment is preferable, and how much?

174. I am desirous of securing an income of 61% or 7% on my investments. Can I do it by purchasing 5% stock at 75%? What will be the rate of income?

175. I have, as the net proceeds of a consignment of goods sold by me, $3816.48, which the consignor desires me to remit by draft at 2 months. If the rates of exchange are % premium, and the rate of interest 6%, what will be the face of the draft? (Allow days of grace.)

176. A man bought a horse and a carriage, paying twice as much for the horse as for the carriage. He sold them both for $662, receiving 15% more for the horse, and 8% more for the carriage than they cost him. What did they each cost him?

177. A man sold 500 acres of land, receiving in payment of the value in cash, and the rest in a note due in 3 months without interest. He immediately discounted the note at a bank at 6%, paying $57.50 discount. What was the price of the land per acre? (Allow days of grace.)

178. How many slates will be required to cover a roof, each side of which is 34 feet 9 inches long and 16 feet wide, allowing 4 slates to cover a square foot; and what will they cost at the rate of $4.75 per C?

179. An article was sold at a price which was above cost. If the cost had been of what it really was and the selling price had remained the same, the gain would have been $6.75. How much did the article cost?

180. Three men bought a grindstone 20 inches in diameter. How much of the diameter must each grind off so as to share the stone equally, making no allowance for the eye?

AVERAGE OF PAYMENTS.

470. 1. How long may $1 be kept to balance the use of $5 for 2 months? $6 for 3 months? $10 for 4 months? 2. How long may $10 be kept to balance the use of $6 for 5 months? $8 for 10 months? $12 for 5 months?

3. I owe B two equal debts, one due in 3 months and the other in 6 months. When may I pay both at one payment? 4. If I pay $20 3 months before it is due, how long after it is due may I keep $30 to balance it?

5. If I owe $20 due in 4 months and $40 due in 6 months, at what time are both debts equitably due?

471. Finding the equitable time for discharging, by one payment, sums due at different times is Averaging Payments.

472. The date at which the debts may be equitably discharged by a single payment is the Average Time.

473. The time that must elapse before the debt becomes due is the Term of Credit.

474. The time that must elapse before the debts due at different times may be equitably discharged by a single payment is the Average Term of Credit.

475. When the terms of credit begin at the same date.

1. A. T. Stewart & Co. sold a bill of goods upon the following terms: $400 cash, $300 due in 2 months, and $400 due in 4 months. At what time might the whole indebtedness be equitably discharged by a cash payment?