Deck 3: Ratio, Proportion, and Percent

Question 1

Set up a ratio to represent the following:
one-half of an hour to 18 minutes

Answer 1

30 : 18
5 : 3

Question 2

Manufacturing overhead is charged to three operating divisions on the basis of capital investment in the three divisions. If the investment is $10.8 million in the Eastern Division, $8.4 million in the Southern Division, and $17.4 million in the Far Eastern Division, how should manufacturing overhead of $888 000 be allocated to the three divisions?

Answer 2

Question 3

Four beneficiaries are to divide an estate of $289 000 in the ratio . How much should each receive?

Answer 3

Ratio: : : : = : : : = 16 : 6 : 21 : 11
Let the constant part be x

Question 4

Departments A, B, and C occupy floor space of 310, 120 and 475 square meters respectively. If the total rental for the space is $38 225.00 per month, how much rent should be paid by Department B?

Question 5

Solve: 7 : 5 = x : 40

Question 6

Departments, A, B, and C occupy floor space of 60 m,90 m, and 300 m, respectively. If the total rental for the space is $125 200 per month, how much rent should Department C pay?

Question 7

The cost of a unit is made up of $120.00 direct material cost, $80.00 direct labour cost, and $20.00 overhead. What is the ratio that exists between the three elements of cost?

Question 8

The cost of operating the Repair Department is to be allocated to four production departments based on the floor space each occupies. Department A occupies 1100 m; Department B, 660 m; Department C, 880 m; and Department D, 440 m. If the July cost was $24 000, how much of the cost of operating the Repair Department should each production department absorb?

Question 9

Carol, Clara and Nancy decide to buy LOTTO 649 tickets, agreeing to share any winnings in a ratio of , which is in the same ratio as they spent on tickets. If they end up winning $1147.00, calculate how much each should receive from the winnings.

Question 10

Four beneficiaries are to divide an estate of $500 000 in the ratio . How much should each receive?

Question 11

Students, A, B, and C occupy floor space of 50 m, 70 m, and 80 m, respectively. If the total rental for the space is $1000 per month, how much rent should student A pay?

Question 12

Set up a ratio to represent the following:
10 quarters to 12 dimes to 16 nickels

Question 13

Solve: n : 6 = 24 : 42

Question 14

Solve: 4.2 : x = 4.375 : 25.6

Question 15

Solve: 15 : 6 = 30 : x

Question 16

Sean, Paul and Wallis decide to buy a property, agreeing to share profit in a ratio of , which is in the same ratio as they spent on the property. If they end up making $20 000.00, calculate how much each should receive from the sale of the property.

Question 17

Lorraine, Estelle, and Frances own a business jointly and share profits and losses in the same proportion as their investments. How much of a profit of $14 500 will each receive if their investments are $14 000, $16 000, and $15 000 respectively?

Question 18

Solve: 7 : n = 35 : 21

Question 19

The cost of a unit is made up of $7.25 direct material cost, $4.75 direct labour cost, and $3.50 overhead. What is the ratio that exists between the three elements of cost?

Question 20

At Upscale Corporation, direct selling expense amounted to $3500 while sales volume was $97 500 for last month. What is the ratio of direct selling expense to sales volume?

Question 21

Gross profit for March was three-fifths of net sales, and net income was two-sevenths of gross profit. Net income was $14200.
a)What was the gross profit for March?
b)What were net sales for March?

Question 22

Solve: : t = :

Question 23

Solve: 3.1 : m = 1.4 : 1.9

Question 24

Solve: : = : t

Question 25

A manufacturing process requires $68.5 supervision cost for every 64 labour hours. At the same rate, how much supervision cost should be budgeted for 18 000 labour hours?

Question 26

Mr. Duckworth owned 3/8 of a store. He sold 2/3 of his interest in the store for $37 000. What was the value of Mr. Duckworth's share of the store?

Question 27

A gas tank with a capacity of 245 L can be drained in twenty-five minutes. At the same rate, how many minutes will it take to drain a tank containing 176 L?

Question 28

A clothing company has found that, based on past experience, $17.50 must be spent on labour costs for every $13.25 spent on materials. If a budget of the year 2005 is set at $231 875.00 for materials, calculate the amount that must be budgeted for labour.

Question 29

Solve: 2.18 : 1.61 = k : 4.4

Question 30

Solve: 1.15 : 2.30 = k : 1.30

Question 31

Solve: 3.80 : m = 10.8 : 8.10

Question 32

Solve: 2.50 : 1.25 = k : 4.4

Question 33

Five-eighths of Jim Bernard's inventory was destroyed by water damage. He sold the remaining part, which was slightly damaged, for one-third of its value and received $5000.
a)What was the value of the destroyed part of the inventory?
b)What was the value of the inventory before the fire?

Question 34

Solve: y : = :

Question 35

Solve: 1.15 : 0.95 = k : 1.19

Question 36

Solve: : = : t

Question 37

Solve: x : = 1 :

Question 38

Solve: : = t

Question 39

The community of Oakville sets a property tax rate of $25.50 per $1000 assessed valuation. What is the assessment if a tax of $554 is paid on a property?

Question 40

Seven-eighths of Jim Whyte's inventory was destroyed by fire. He sold the remaining part, which was slightly damaged, for one-third of its value and received $1400.
a)What was the value of the destroyed part of the inventory?
b)What was the value of the inventory before the fire?

Question 41

If total deductions on a yearly salary of $28 600 amounted to 16 2/3%, how much was deducted?

Question 42

The Canada Pension Plan premium deducted from an employee's wages was $131.59. If the premium rate is 2.925% of gross wages, how much were the employee's gross wages?

Question 43

What percent of 0.14 is 0.035?

Question 44

What is % of $12150?

Question 45

$901 is 31.2% of what amount?

Question 46

225% of what amount is $310?

Question 47

63 is what percent of 45?

Question 48

$14.35 is 1/3% of what amount?

Question 49

160% of what amount is $200?

Question 50

$170 is what percent of $80?

Question 51

What percent of $62.50 is $11.25?

Question 52

$189 is what percent of $4150?

Question 53

$36 is what percent of $14?

Question 54

165% of what amount is $370?

Question 55

A firm's bad debts of $7775 were 2 3/4% of sales. What were the firm's sales?

Question 56

Overhead cost of a fan belt is three-eighths of total cost and labour cost is one-third of overhead cost. If labour cost is $15, what is the total cost of the fan belt?

Question 57

$750 is 33.3% of what amount?

Question 58

27.5% of what amount is $28.63?

Question 59

What is 3/4% of $164.00?

Question 60

Overhead content in an article is 37 1/2% of total cost. How much is the overhead cost if the total cost is $72?

Question 61

What is the rate percent if the base is 50 and the percentage is 35?

Question 62

A property was sold for 250% of what the vendors originally paid. If the vendors sold the property for $218 000, how much did they originally pay for the property?

Question 63

$32 is what percent of $26?

Question 64

In the last provincial election, 62 1/2% of the population of 994 800 was eligible to vote. Of those eligible, 33 1/3% voted.
a)What was the number of eligible voters?
b)How many voted?

Question 65

$275 is 87 1/2% of what amount?

Question 66

What amount is 16 2/3% less than $69?

Question 67

The number 675 is 37 1/2% more than what number?

Question 68

What is the rate percent if the base is 88 and the percentage is 65?

Question 69

350% of $15.00 is what amount?

Question 70

The Canada Pension Plan premium deducted from an Peter's wages was $650.25. If the premium rate is 2.925% of gross wages, how much were Peter's gross wages?

Question 71

What is 870 decreased by 21%?

Question 72

How much is $27.40 increased by 237%?

Question 73

What percent less than $90 is $81?

Question 74

What amount is 8 1/3% less than $84?

Question 75

166 2/3% of what amount is $280?

Question 76

The amount of $123 is what percent less than $165?

Question 77

$90 is 37 1/2% of what amount?

Question 78

$75 is what percent of $50?

Question 79

2 3/4% of what amount is $19.90?

Question 80

The amount of $2250 is what percent more than $2100?