Comparing Quantities Test

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Comparing Quantities Test - 49

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Weekly Quiz Competition

Question 1
1 / -0

Which type of tax is paid by a landowner to the local government or the municipal corporation of his area?

A
income tax

B
sales tax

C
property tax

D
VAT

Solution

Property tax is paid by a land owner to the local government or the municipal corporation of his area.
Question 2
1 / -0

In the tax saver fixed deposit accounts, the deposit holder saving in which tax?

A
income tax

B
sales tax

C
property tax

D
land tax

Solution

In the tax saver fixed deposit accounts, the deposit holder saving in income tax.
Question 3
1 / -0

An _______ is a government tax on the taxable profit earned by an individual or corporation.

A
income tax

B
sales tax

C
property tax

D
VAT

Solution

An income tax is a government tax on the taxable profit earned by an individual or corporation.
Question 4
1 / -0

Martin is planning which crops to plant on his farm for the upcoming season. He has enough seed to plant $$4$$ acres of wheat and $$7$$ acres of soybeans, but the total area of farmland he owns is only $$9$$ acres. He earns $$ $90$$ per acre for every acre of wheat planted and $$ $120$$ for every acre of soybeans planted, and he must pay a $$10$$% tax on all money he earns from selling his crops. Calculate the maximum profit, in dollars that Martin can earn from planting wheat and soybeans this season.

A
$$918$$

B
$$916$$

C
$$914$$

D
$$912$$

Solution

In order to find the greatest profit, maximize the number of acres of soybeans Martin plants, since soybeans bring in more money per acre than does wheat. At most, MartIncan plant $$7$$ acres of soybeans.
Therefore, the most money he can make on soybeans is $$7\times 120=840$$.
He then has $$9 - 7 = 2$$ acres left on which to plant wheat.
The money he makes from this wheat is $$2\times 90=180$$.
The total amount Martin makes before taxes is therefore $$840 + 180 = 1,020$$.
The tax on this money equals $$1020\times 0.10=102$$.
Subtract the amount Martin pays in taxes to get $$1,020 - 102 = 918$$ profit.
The correct answer is $$918$$.
Question 5
1 / -0

Cost Comparison of Tools
Item Cost at John's Tools Cost at Lin's Tools
Hammer $$ $15$$ $$ $18$$
Drill $$ $50$$ $$ $55$$
Electric saw $$ $30$$ $$ $25$$
If a distributor receives a $$10$$% discount from Johns Tools and a $$15$$% discount from Lins Tools, how much more would they pay, in dollars, to buy a drill and electric saw from Johns Tools than Lins Tools?

A
$$\$4$$

B
$$\$5$$

C
$$\$2$$

D
$$\$7$$

Solution

John's tool $$10\%$$ discount $$=$$ $$\dfrac{50+30}{100}\times 10=8$$

Lin's tool $$15\%$$ discount $$=$$ $$\dfrac{55+25}{100}\times 15=12$$

The cost to buy a drill and electric saw from Johns tools than Lins tools $$= 12 - 8 = \$4$$
Question 6
1 / -0

If paintbrushes cost $$1.50$$ each and canvases cost 6 times that much, which of the following represents the cost, in dollars, of $$p$$ paintbrushes and $$c$$ canvases?

A
$$7.5pc$$

B
$$10.5pc$$

C
$$9c+1.5p$$

D
$$10.5(p+c)$$

Solution

Cost of $$1$$ paintbrush $$=1.50$$

Hence cost of $$p$$ paintbrushes$$=(p\times 1.5)$$

Also,

Cost of $$1$$ canvas $$=1.50\times 6=9$$

Hence cost of $$c$$ canvases$$=(c\times 9)$$.

So,

Cost of $$p$$ paintbrushes and $$c$$ canvases$$=1.5p+9c$$
Question 7
1 / -0

The population of an invasive species of moth doubles every $$5$$ years. If the initial population is $$300$$, what will be the population after $$15$$ years?

A
$$900$$

B
$$1200$$

C
$$2000$$

D
$$2400$$

Solution

Population of an invasive species of moth doubles every $$5$$ years.
Let the initial population be $$x$$
So after $$5$$ years, population will be $$2\times x=2x$$
After $$10$$ years, population will be $$2\times 2x=4x$$
After $$15$$ years, population will be $$2\times 4x=8x.$$

Here, initial population is $$x=300$$.
After $$15$$ years, population will be $$8x=8\times 300=2400$$

Hence, the population after $$15$$ years is $$2400$$
Question 8
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FURNITURE SET
Set $$A$$ $$B$$ $$C$$
Tables $$1$$ $$2$$ $$3$$
Chairs $$7$$ $$5$$ $$2$$

PRICES
Year $$2002$$ $$2007$$ $$2012$$
Table $$ $60$$ $$ $80$$ $$ $100$$
Chair $$ $30$$ $$ $35$$ $$ $40$$

A furniture company sells three sets of furniture: set $$A$$, set $$B$$, and set $$C$$. Each set consists of a different number of tables and chairs as shown in the first table above. The second table shows the sale prices in dollars of each table and chair in three different years. Based on the prices shown, calculate the greatest possible sale price in dollars of a furniture set bought in $$2007$$.

A
$$ $270$$

B
$$ $335$$

C
$$ $320$$

D
$$ $325$$

E
$$ $315$$

Solution

Consider furniture set $$A$$: it consists $$1$$ table and $$7$$ chairs.
The price of set $$A$$ in $$2007$$: $$1\times$80+7\times$35=$325$$
Consider furniture set $$B$$: it consists $$2$$ tables and $$5$$ chairs.
The price of set $$B$$ in $$2007$$: $$2\times$80+5\times$35=$335$$
Consider furniture set $$C$$: it consists $$3$$ tables and $$2$$ chairs.
The price of set $$B$$ in $$2007$$: $$3\times$80+2\times$35=$310$$
The greatest of these three is $$\$335$$.
Hence,option $$B$$ is correct.
Question 9
1 / -0

Spice prices of distributor A
Spice Price Per Kilogram
Cinnamon $$ $7.00$$
Nutmeg $$ $10.00$$
Ginger $$ $5.00$$
Cloves $$ $9.00$$
If a customer buys $$2$$ kilograms each of cinnamon and ginger and then sells to another person, then what is his net profit if he earns a profit of $$ $3 $$ per $$100$$ grams?

A
$$ $192$$

B
$$ $120$$

C
$$ $126$$

D
$$ $1200$$

Solution

Given that a person buys 2 kg cinnamon and 2 kg ginger and sell both with profit of $ 3 per kg
Than the total weight of cinnamon and ginger =2+2=4 kg =40000 gms
He earn profit of $3 per 100 gms
Than he get profit =$$\dfrac{$3}{100}\times 40000=$120$$
Question 10
1 / -0

A hardware store sells lightbulbs in different quantities. The figure above shows the cost of various quantities. According to the figure, what is the cost of a single lightbulb?

A
$$ $0.56$$

B
$$ $1.80$$

C
$$ $2.50$$

D
$$ $3.60$$

Solution

From the graph we can see that cost of $$5$$ lightbulbs is $$ $9$$

Hence, cost of $$1$$ lightbulb$$=\dfrac95=$1.80$$

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Re-Attempt Weekly Quiz Competition

Item	Cost at John's Tools	Cost at Lin's Tools
Hammer	$$ $15$$	$$ $18$$
Drill	$$ $50$$	$$ $55$$
Electric saw	$$ $30$$	$$ $25$$

Set	$$A$$	$$B$$	$$C$$
Tables	$$1$$	$$2$$	$$3$$
Chairs	$$7$$	$$5$$	$$2$$

Year	$$2002$$	$$2007$$	$$2012$$
Table	$$ $60$$	$$ $80$$	$$ $100$$
Chair	$$ $30$$	$$ $35$$	$$ $40$$

Spice	Price Per Kilogram
Cinnamon	$$ $7.00$$
Nutmeg	$$ $10.00$$
Ginger	$$ $5.00$$
Cloves	$$ $9.00$$

Comparing Quantities Test - 49

Result

Comparing Quantities Test - 49

Score

-

Rank

-

SHARING IS CARING

Question 1

income tax

sales tax

property tax

VAT

Solution

Question 2

income tax

sales tax

property tax

land tax

Solution

Question 3

income tax

sales tax

property tax

VAT

Solution

Question 4

$$918$$

$$916$$

$$914$$

$$912$$

Solution

Question 5

$$\$4$$

$$\$5$$

$$\$2$$

$$\$7$$

Solution

Question 6

$$7.5pc$$

$$10.5pc$$

$$9c+1.5p$$

$$10.5(p+c)$$

Solution

Question 7

$$900$$

$$1200$$

$$2000$$

$$2400$$

Solution

Question 8

$$ $270$$

$$ $335$$

$$ $320$$

$$ $325$$

$$ $315$$

Solution

Question 9

$$ $192$$

$$ $120$$

$$ $126$$

$$ $1200$$

Solution

Question 10

$$ $0.56$$

$$ $1.80$$

$$ $2.50$$

$$ $3.60$$

Solution

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