Ratios, Proportion, and Percent

 

1.A car requires 33 litres of gasoline to travel for 402 kilometers. At the same rate of gasolineconsumption, how far can the car travel if the gas tank holds 53 litres?

The car can travel ____ kilometers. (Round to the nearest kilometer as needed.)

2.What is the price of gasoline per litre in Canadian dollars if a U.S. gallon of gasoline costs US$2.28? One U.S. dollar is worth C$1.03 and one U.S. gallon is equivalent to 3.8 litres.

The cost per litre is C$

(Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places asneeded.)

3.What number is 83 1/3% more than 438?

83 1/3% more than 438 is ___ (Tpye an integer or a decimal.)

4.One-eighth of JesseBlack's inventory was destroyed by fire. He sold the remainingpart, which was slightlydamaged, for one-fourth of its value and received $4000.

(a) What was the value of the destroyed part of theinventory?

(b) What was the value of the inventory before thefire?

(a) The value is $

(Round to the nearest cent asneeded.)

(b) The value is $

(Round to the nearest cent asneeded.)

5.Material cost of a fan belt is three-fourths of totalcost, and labour cost is ten-elevenths of material cost. If labour cost is $13, what is the total cost of the fanbelt?

The total cost is $

(Round to the nearest cent asneeded.)

6.Use equivalent ratios in higher terms to eliminate fractions.

1/14to2/12

to (Simplify youranswer.)

7.Executive salaries are charged to three operating divisions on the basis of capital investment in the three divisions. If the investment is $15.0 million in the NorthernDivision, $13.8 million in the EasternDivision, and $13.6 million in the WesternDivision, how should executive salaries of $530,000 be allocated to the threedivisions?

Divisions Salaries

Northern $

Eastern $

Western $

(Round to the nearest dollar asneeded.)

8.A special purpose index has increased 108% during the last ten years. If the index is now 297, what was the index ten yearsago?

The index was _____

(Round to the nearest integer asneeded.)

9.What percentage lessthan $310 is $186?

The percentage is ____%.

(integer or adecimal.)

10.What is 109 increased by 50%?

109 increased by 50% is ____

(integer or adecimal.)

11.After real estate fees of 6% had been deducted from the proceeds of a propertysale, the vendor of the property received $76,356. What was the amount of the real estatefee?

The amount was $ _____

(Round to the nearestinteger.)

12.Suhami Chadhuri has a five-eighths interest in a partnership. She sold one-fourth of her interest for $2100.

(a) What was the total amount of Ms.Chadhuri's interest beforeselling?

(b) What is the value of thepartnership?

(a) The amount is $ ____

(Round to the nearest cent asneeded.)

(b) The value is $ ____

(Round to the nearest cent asneeded.)

Ch 6 Trade Discounts, Cash Discounts, Markup and Markdown

13.A company received an invoice for $3697.58 dated August18 with terms 6/15, 2/30, n/60.

(a) If the invoice is paid on September1, how much is to bepaid?

(b) If the invoice is paid on September13, how much is to bepaid?

(c) If the invoice is paid on October15, how much is to bepaid?

(a) The amount to be paid on September1 is $ _____

(Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places asneeded.)

(b) The amount to be paid on September13 is $ _____

(Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places asneeded.)

(c) The amount to be paid on October15 is $ ______

(Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places asneeded.)

14.A flavoureddrink was offered for sale at $2.77 at West Store. At EastStore, the regular selling price of a similar flavoureddrink was $3.31. What rate of markdown would East Store have to offer to sell the flavoureddrink at the same price as WestStore?

The rate of markdown is _____%

(Round the final answer to two decimal places as needed. Round all intermediate values to six decimal places asneeded.)

15.What amount will reduce the amount due on an invoice of $1944.14 by $1009.19 if the terms of the invoice are 4/15, n/45 and the payment was made during the discountperiod?

The payment amount is $ _____

(Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places asneeded.)

16.Arrow Manufacturing offers discounts of 18%, 15.5%, 10% on a line of products. For how much should an item be listed if it is to be sold for $292.08?

The item should be listed for $ _____

(Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places asneeded.)

17.Find the rate of markdown and the markdown.

Regular Selling Price Rate of Markdown Markdown Sale Price

$35.80 ? ? $23.10

The rate of markdown is ____%

(Round the final answer to two decimal places as needed. Round all intermediate values to six decimal places asneeded.)

The markdown is $ ______

(integer or adecimal.)

18.A department store paid $51.81 for acookwareset. Overhead expense is 17% of the regular selling price and profit is 30% of the regular selling price. During a clearancesale, the set was sold at a markdown of 20%. What was the operating profit or loss on thesale?

The operating (profit,loss) was $ _____

(Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places asneeded.)

19.Guiseppe's buys supplies to make pizzas at a cost of $4.08. Operating expenses of the business are 137% of the cost and the profit he makes is 148% of cost. What is the regular selling price of eachpizza?

The regular selling price of each pizza is $ _______

(Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places asneeded.)

20.A sports store purchased tennis racquets for $66.21 less 37% for purchasing more than 100items, and a further 34% was reduced for purchasing the racquets in October. The racquets were sold to customers for $66.02.

(a) What is the cost of eachracquet?

(b) What is the markup as a percent ofcost?

(c) What is the markup as a percent of sellingprice?

(a) The cost of each racquet is $ ______

(Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places asneeded.)

(b) The markup as a percent of cost is _____%.

(Round the final answer to two decimal places as needed. Round all intermediate values to six decimal places asneeded.)

(c) The markup as a percent of selling price is ______%.

(Round the final answer to two decimal places as needed. Round all intermediate values to six decimal places asneeded.)

21.A gardenset is listed for $747.18 less 41%, 12%, 6%.

(a) What is the netprice?

(b) What is the total amount of discountallowed?

(c) What is the exact single rate of discount that wasallowed?

(a) The net price is $ _______

(Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places asneeded.)

(b) The total amount of discount allowed is $ _____

(Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places asneeded.)

(c) The single rate of discount that was allowed is ____%.

(Round the final answer to two decimal places as needed. Round all intermediate values to six decimal places asneeded.)

22.Par Putters Company sells golf balls for $32 per dozen. Thestore's overhead expenses are 31% of cost and the owners require a profit of 25% of cost.

(a) For how much does Par Putters Company buy one dozen golfballs?

(b) What is the price needed to cover all of the costs andexpenses?

(c) What is the highest rate of markdown at which the store will still breakeven?

(a) The cost of one dozen golf balls is $ ________ per dozen.

(Round the final answer to two decimal places as needed. Round all intermediate values to six decimal places asneeded.)

(b) The price needed to cover all of the costs and expenses is $ _______

(Round the final answer to two decimal places as needed. Round all intermediate values to six decimal places asneeded.)

(c) The highest rate of markdown is _____%.

(Round the final answer to two decimal places as needed. Round all intermediate values to six decimal places asneeded.)