499. This tree is 23 feet in circumference at the base. If the trunk were a perfect cone to the top of the tree (121 feet), how many cords of timber would it contain?

500. August 8, 1866, I insured my life, paying a premium of $121.30 a year. After paying my insurance for 11 years, the company went into bankruptcy, and on February 14, 1880, the sum of $162.12 was sent me in full for all demands on the company. Allowing the use of money to be worth 6 %, how much money did I lose by the transaction?

501. R. Fales & Co. imported from France 220 meters of cloth costing 15.75 francs per meter, paying 15 per yard for duties. If the cloth be sold at $4.50 per yard, what is gained?

502. How many square yards of canvas in a circular tent of 200 feet diameter, the vertical wall standing 16 feet high, and the roof extending from the top of the wall to a height at the centre of 50 feet from the ground?

503. A hot-air register in a school-room is 2 ft. long by 1 ft. 6 in. wide, and half the area is taken up by the grating. How much air per minute must pass through each square foot of the opening of this register into the room to supply each of 42 scholars with 4 cubic feet of fresh air every minute ?

504. A schooner beating against the wind sails S. E. 6 miles, then S. W. 12 miles, then S. E. 12 miles, then S. W. 12 miles, and finally S. E. 6 miles. How many miles is it in a straight course from the point she left to the point she arrives at?

505. Exchange on Paris is quoted here to-day at 5.17 and on London at 4.85. At London, exchange on Paris is quoted 25.32 francs to £1. Which will be the cheaper, and how much, to remit to Paris directly or to remit to my correspondent in London and let him remit to Paris?

506. If I sell 22 rakes for as much money as I paid for 36, what per cent is gained?

507. Find the first cost of an article of which 100 can be made with raw materials costing $350, labor $150, and other fixed charges $200; and find the price to gain 25 %. How much would this price be affected by raising the wages of all the laborers 15 %?

508. Find the average age of the pupils in the graduating class of a certain school, the ages being as follows: 14 y. 3 mo., 15 y. 2 mo., 15 y. 1 mo., 14 y. 4 mo., 14 y. 5 mo., 14 y. 1 mo., 13 y. 11 mɔ., 13 y. 9 mo., 14 y. 2 mo., 15 y. 6 mo., 14 y. 8 mo., 14 y. 7 mo., 15 y. 2 mo.

509. in the Centigrade thermometer the freezing-point of water is marked 0° and the boiling-point 100°. In the Fahrenheit thermometer the freezing-point is marked 32° and the boiling-point 212o. When the Centigrade thermometer stands at 37° at what degree will the Fahrenheit thermometer stand? What degree of the Centigrade thermometer corresponds to 92° Fahrenheit?

510. A builder hired money at 5% per annum, and built with it a house which, with the land, cost $8572. At the end of 18 months he sold the house for $10500. How much did he gain?

511. In an election three candidates were voted for, and the total number of votes cast was 4214. The winning candidate, A, had a plurality of 613 over B, and 1125 over C. How many votes did each candidate receive?

512. To meet the appropriations made in a town meeting $158400 must be raised by taxation. What must be the amount of the tax levy if a margin of 10 % is allowed for uncollected taxes and a commission of 7% on taxes collected?

513. The cost of making a certain book is 38 ¢ per copy. What must be the retail price of the book that one third may be taken off for wholesale buyers, a further discount of 5 % from the face of their bills allowed, and yet a profit of 50 % remain for the publisher?

514. A travelling salesman is allowed 12% on his sales. His employer makes a profit of 20% on the goods sold. What is the first cost of goods which are sold by the salesman at $7.65?

515. How far from the wall of a house 24 feet high must a ladder 23 feet long be placed that a person may ascend to within 5 feet of the top of the wall?

516. If from a point between two houses a ladder 32 feet 6 inches long will reach to a window 26 feet high in one house and 30 feet high in the other, what is the distance between the houses?

517. What can be paid on the dollar by a bankrupt having assets worth $375240 and liabilities amounting to $681426? How much more could he pay on the dollar if $ 150000 of these liabilities should fail to be proved by the supposed creditors? [Ans. to mills.]

518. A contractor has 20 days in which to do a piece of work. He hires 30 men, who after working 8 days strike for higher wages, remaining idle 5 days and then returning to their work. But for the strike the work would have been done at the end of the 18th day. How many more men must the contractor hire that he may finish his

work within the time set?