For payment at the time of purchase a dry-goods dealer makes a deduction of 3% from the amount of the bill. What deduction does he make on a bill of goods amounting to $200 ?

A carriage maker asks $60 for farm wagons.

a deduction of 20% to other dealers.

less than the regular price?

He makes

This is how much

Any deduction from a regular or fixed price or amount is a discount.

Discounts are generally a per cent of the established price or amount.

The per cent of discount is the rate of discount.

Manufacturers and wholesalers issue price lists of their goods from which deductions are allowed. Such deductions are commercial or trade discounts.

Discounts are generally spoken of as so many "per cent off." Thus, a manufacturer speaks of the prices of plows as "$12, 25% off," meaning that he will deduct 25% from the regular price, $12, making the price to the retailer $9. The amount of the bill after the deduction is made is the net price.

13. The regular price of a chair is $12. I can buy it 25 % less than the regular price. What is the discount? The net price?

14. At 20% off, what is the discount on a bill of goods amounting to $30?

15. Find the net price of a $48 mowing machine, dis count 163 %.

16. What is the net price of 5 books at $2 each, 20% off?

17. Lace marked $0.40 a yard is sold at a discount of 121%. What is the discount?

WRITTEN PROBLEMS

1. Two boys bought a tent. The list price was $24, with a discount of 30 %. How much did each boy pay? 2. The list price of an automobile was $2250. If a discount of 16% was allowed, what was the net price?

3. A plumber's bill was $176.50. For cash payment there was a discount of 2%. What was the net amount of the bill?

4. The list price of a piano was $450. It was sold at a discount of 40%. What was the selling price?

5. On a stove listed at $42 a discount of 22% was allowed. What was the net price?

6. Find the net price of 60 pairs of blankets at $2.50 a pair, with a discount of 15 %.

7. A shopworn set of histories was sold at 40% off. The original price was $25. What was the sale price?

8. A clothier advertises suits marked $12.25 to be sold at a discount of 20%. How much does he expect to get for a suit?

9. A carload of hay containing 123 tons was bought at $16 a ton, with a discount of 5% for immediate payment. What was the net price?

10. A coöperative grocery allows its shareholders a discount of 5% from the regular prices. What will a shareholder pay for a barrel of flour at $6.40 and 3 tons of coal at $7.20 a ton?

Mr. Harris sends 40 barrels of apples to Mr. White to sell for him. Mr. White sells them at $3 a barrel. What is the selling price? For making the sale Mr. White receives 5% of the selling price. How much does he receive? How much does Mr. Harris get?

The person for whom business is transacted is the principal.

The person transacting business for another is the agent. The amount for which the goods are sold is the gross proceeds.

The amount paid to an agent for his services is the commission or brokerage.

The amount left after the commission and other charges are paid is the net proceeds.

1. At 5% commission, how much is paid an agent for selling a horse for $200? How much does the owner get?

2. Fred sells a box of soap among the neighbors for $40 at 20% commission. Find his commission.

much does the maker get?

How

3. How much does Mr. Lake receive for selling a $3000 automobile at 12% commission? Find the net proceeds.

4. Mr. Harvey paid a real estate agent $100 for selling a house for $2000. What per cent commission did he pay? What were the net proceeds?

5. What are the net proceeds when a commission merchant sells goods for $600 at 4% commission?

6. An auctioneer sold a farm for $3500 and received $350 for his services. Find the per cent of his commis

sion.

7. What were the gross proceeds of a sale of wheat if the net proceeds were $2400 and the commission $30 ?

WRITTEN PROBLEMS

1. At 1% commission, find the amount paid an agent for selling 1675 bushels of wheat at 92 cents a bushel.

2. A real estate agent collects rents to the amount of $1248. If his commission is 21%, what per cent of the collections is returned to the owner of the property? How much money?

3. A bill collector collected the following amounts in one week $37.20, $42.50, $20.68, $15.86, $12.35, $122.76, $86.42, $95.27, $39.48, and $112.50. Find his commission at 71%.

4. At a commission of 5% of the sum collected, how much does an agent receive for collecting 75% of a bill of

5. A commission dealer sells 360 barrels of apples at $1 a barrel, receiving a commission of 3%. Find the commission; the net proceeds.

6. Mr. Hanley sent to a commission firm 450 bushels of corn and 620 bushels of potatoes. The corn was sold at 45 cents a bushel and the potatoes at 70 cents a bushel. The firm charged a commission of 3 %, and $8.72 for cartage. How much money was sent to Mr. Hanley?

7. What is the per cent commission when an agent receives $150 for selling 240 cases of goods at $12.50 a case?

8. Mr. Carter paid $20 to Mr. Driver for selling 2 cows at $75 each, and a horse for $100. Find the per cent of the gross proceeds paid to Mr. Driver.

9. After selling a lot of land for $3600, the agent kept $288 for his services. This was what per cent of the

sum received for the land?

10. An architect receives a commission of 31% for preparing the plans, and a commission of 21% for superintending the construction, of a building. What is his commission if the building costs $87,500?

11. The net proceeds of a sale of farm products was $672.32; the commission $91.68. Find the rate of the commission.

A GROUP OF SCHOOL PROBLEMS

1. In the Washington school there are 358 boys and 89 more girls than boys. How many pupils in the school?

2. The attendance was 784 on Monday, 776 on Tuesday, 769 on Wednesday, 775 on Thursday, and 766 on Friday. What was the average daily attendance?