13. The regular price of a chair is $16. 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 16 %.

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 with a discount of 30 %.

tent.

The list price was $24, How much did each boy pay?

If a

2. The list price of an automobile was $2250. 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%.

3

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 12 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?

Sometimes manufacturers and wholesalers grant more than a single discount to purchasers. For instance, a manufacturer of saws may list a certain grade of saw at $1.20 and then give the retailer a discount of 40% and an additional discount of 25%. In such cases the second discount is reckoned on the sum remaining after the first discount is made. Either of the following methods may be used in solving the above problem:

FIRST SOLUTION

40% of $1.20 $0.48, the first discount.

$1.20 $0.48-$0.72, the list price less 40%.

The second discount, 25%, is then reckoned on $0.72.

25% of $0.72=$0.18, the amount allowed by the second discount. $0.72-$0.18=$0.54, the net price.

SECOND SOLUTION—

Since 40% is deducted, 60% is paid.

60% of $1.20 $0.72, the price after the first discount.

Since a further discount of 25% is allowed, 75% of the price after the first discount, is paid. 75% of $0.72 $0.54, the net price.

1. Find the net cost of a bill of goods to the amount of $60 with successive discounts of 50% and 333%.

2.

A furniture manufacturer lists desks at $50 with successive discounts of 20% and 10%. Find the net price.

3. How much will pay for a rug listed at $80 if successive discounts of 25% and 20% are allowed?

1.

CST

PROBLEMS

Written

1 A shoe dealer allows successive discounts of 30% and 10% on a certain style of shoe. What is the total discount allowed on a bill of goods to the value of $600? What is the net price?

2 A manufacturer of window glass gives successive discounts of 60% and 40%. Find the net cost of a shipment of glass listed at $1250.

3. A city bought 48 sanitary drinking fountains listed at $28.50 each, with successive discounts of 25% and 5%. Find the net cost.

4. On a bill of $600 there were allowed successive discounts of 50%, 20%, and 10%. Find the net cost. What was the total discount?

5 A dealer in ship supplies allows successive discounts of 40% and 10%, payment to be made in 60 days. He allows a further discount of 5% for cash payment. What is the net cost to the purchaser of goods to the amount of $1500 if he makes a cash payment? How much does he save by paying cash rather than by waiting 60 days?

2390

6. To what single discount are successive discounts of 40% and 20% equal?

SOLUTION

A discount of 40% leaves 60% to be paid.

A discount of 20% of the 60% leaves 48% to be paid.

100%-48% = 52%, the total net discount.

To what single discount are the following successive dis

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 commission.

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 18% 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 7%.

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