18. Of what length is 112 ft. 6 in. exactly 45% ?

19. After gaining 12%, a certain sum amounts to $392. What is the sum?

20. If to of a certain number 730 is added, the result is 855. What is the number?

21. A boy lost of his marbles and had 18 left. How many marbles had he at first?

22. A man sold 3 of his cattle and had 68 left. How many cattle had he at first?

23. A certain sum was increased 50% and then amounted to $505.50. What was the sum?

24. A man sold a house for $2250, which was 20% less than it cost. How much did it cost?

25. A man saves $675.20 a year, which is 32% of his income. How much is his income?

26. A school has 20% of its pupils in the sixth grade, which numbers 29. How many are there in the school?

27. If a school is in session 50% of the days of a certain year, and is in session 183 days, is that a leap year or not?

28. With $2250 a man bought 20 acres of land from Mr. A, who thereby gained 25% on what it cost him. How much did Mr. A pay per acre for the land?

29. A man sold a farm of 100 acres at the rate of $56.25 an acre. He lost 10% on the cost of the farm. How much did the farm cost him?

30. A man buys some lumber and sells it for $60, thereby gaining 20% on the cost. The $60 is what per cent of the cost? What is the cost?

31. A certain school has 119 boys, which is 85% of the number of girls. How many girls are there in the school? What is the total number of pupils ?

32. A man sells 41 sheep, which is 33% of all he owned. He received $5.50 a head. At this rate, what is the value of the sheep remaining in his flock?

33. A man's salary has been increased 22% this year. It is now $1525. What was it last year?

1.22 x what number?

34. If I have added 60% to the size of my farm, and now have 240 acres, how many did I have before the increase?

35. If you weigh 78.1 lb., and have increased 42% in weight in the last 5 years, how much did you weigh five years ago?

36. If our regular army has been increased 21%, and now numbers 73,810, how many did it number before the increase?

37. If a library has increased in size 16% in the past five years, and now has 8323 volumes, how many volumes had it before the increase?

38. A dealer bought two horses at the same price. He sold one, at a profit of 20%, for $102. The other he sold at a loss of 10%. How much did he receive for the latter?

39. A certain village, after gaining 10% on its population in 1910, had 10% less population than another village of 4180 inhabitants. What was the population of the first village in 1910?

40. A furniture dealer bought 5 sets of furniture at $65 a set, 3 sets at $90, and 2 sets at $40. The $40 sets he sold at a profit of 30%, and the $65 sets at a profit of 20%, but on the $90 sets he lost 10%. What per cent did he gain on the lot?

41. If you have read all but 40% of a book, and have read 234 pages, how many pages has the book?

42. If the width of a schoolhouse is 10% less than the length, and the width is 46.8 ft., what is the length ?

43. If you lose 10% of a kite string, and have 585 ft. left, how long was the string? How many feet did you lose? 44. How much is a man's income if he pays 12% of it for rent at the rate of $15 a month?

45. If an automobile going 14 mi. an hour increases its speed 37%, at what rate will it then be traveling?

46. If the boys in a certain school are 45% of the total, and there are 66 girls, how many boys are there?

47. What sum of money increased by 331% of itself becomes $600? What sum of money decreased by 33% of itself becomes $600?

48. A stenographer can write 105 words a minute, which is 25% more than she could write three months ago. What was her rate then?

49. A stenographer can write 95 words a minute. Three months ago she wrote 20% less than now. What was her rate then?

50. A cubic foot of platinum weighs 1220 lb., and a cubic foot of pressed gold weighs 10 lb. less. Platinum is what per cent heavier than pressed gold?

51. A bank averaged $1200 a day of new deposits in November, and 26% more a day in December. What were the average daily deposits in December?

52. A clerk's salary is $12 a week. If he spends 20% of it for rent, 10% for clothes, and 25% for other expenses, and saves the rest, how much does he save in 52 wk.?

CHAPTER XIV

TRADE DISCOUNT

237. Trade Discount. A reduction from the marked price of an article, from the amount of a bill of goods, or from the amount of a debt is called trade discount.

Trade discount is also called commercial discount.

Discounts are usually reckoned at some common fraction of, or at some rate per cent of, the amount from which the discount is made.

238. Cash Discount. A discount that is taken off because a purchaser is paying cash at once instead of waiting to make the payment later, is called a cash discount.

The amount of the bill after the discount has been made is called the net amount, or the net price.

The price given in a printed list is called the list price.

What is the net amount of a bill of $125 after a discount of 20% is made?

Instead of speaking of 20% off," merchants often speak of " off." It is not so convenient to use common fractions for 12%, 7%, etc.

EXERCISE 136

Find the discount on the following at the rates stated :

Find the net prices of goods billed as follows, with dis

19. A sewing machine was marked $50 but was sold at 12% discount. What was the net price?

20. A piano was marked $800 but was sold at 8% discount. What was the net price?

21. A dealer bought some goods for $975.25, less 20%. What was the net price?

22. A lady bought a $50 cloak at a bargain sale at 25% discount. What did it cost her?

23. A dealer offers some goods for $75, or 4% less for cash. How much does a purchaser save by paying cash? 24. A dealer offers some goods for $80, or for $72 if the purchaser pays cash. What per cent discount does he offer?

25. A dealer offers some goods for $10.80 less than the regular price, a discount of 12%. What is the regular price?

26. The regular price of some goods is $496, but they cost a dealer 85% of this sum. How much is the discount?

27. A dealer buys a bill of goods amounting to $1875. He is allowed a discount of 8% on this bill. How much is the discount?

28. A dealer buys a bill of goods amounting to $2250. He is allowed a discount of 6% on this bill. What is the net amount of the bill?

29. A dealer buys a bill of goods amounting to $2800, but by paying cash he settles it for $2576. What is the rate of discount allowed?