Comparing Quantities Test

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Comparing Quantities Test - 47

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Weekly Quiz Competition

Question 1
1 / -0

Arun buys an old machine for Rs. 2640 and spends Rs. 295 on its repairs. Find his gain or loss if he sells the machine for Rs. 3228. Also, express the gain or loss made as percent.

A
10%

B
20%

C
30%

D
40%

Solution

Total C.P. of a machine = $$Rs. 2640 + Rs. 295 = Rs.2935$$
Given, S.P. = Rs. 3228; [which is less than total cost price]
Therefore, gain = Rs. 3228 - Rs. 2935 = Rs. 293
Also, gain% = $$\dfrac{gain}{total\space\ C.P.} \times 100$$%
= $$\dfrac{293}{2935}\times 100 \approx 10$$%
Question 2
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 3
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$$=\dfrac95=$1.80$$
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

Ravi bought a motorcycle for Rs. 50000 and paid Rs. 2000 for its tyre. He sold it at a gain of 20%. What is Ravi's profit?

A
10400

B
20400

C
30400

D
40400

Solution

Total C.P. of a motorcycle = $$Rs.\ 50000 + Rs.\ 2000 = Rs.\ 52000$$
Profit% = $$\dfrac{profit}{total\space\ C.P.} \times 100$$%
Profit = $$\dfrac{profit \space\ percentage \times CP}{100}$$
$$=\dfrac{20\times 52000}{100}= Rs. 10400$$
Question 6
1 / -0

A man bought a car for Rs. 75,000. He spent Rs. 9,000 on repairs and spent Rs. 1500 on other things. He sold the car for Rs. 1,20,000. Find his gain percent (approximately)

A
10%

B
20%

C
30%

D
40%

Solution

Total C.P. of a car = Rs. 75,000 + Rs. 9,000 + Rs. 1,500 = Rs.85,500
Given, S.P. = Rs. 1,20,000; [which is less than total cost price]

$$\therefore$$ Gain = Rs. 1,20,000 - Rs. 85,500 = Rs. 34,500

Also, gain% = $$\dfrac{gain}{total\space\ C.P.} \times 100$$

= $$\dfrac{34500}{85500}\times 100 = 40$$% (approximately)
Question 7
1 / -0

A television set was bought for Rs. $$10,500$$ and sold at Rs. $$9500$$. Find the loss.

A
Rs.$$1000$$

B
Rs.$$2000$$

C
Rs.$$3000$$

D
Rs.$$4000$$

Solution

Given, C.P. $$ =$$ Rs. $$ 10500$$, S.P. $$ =$$ Rs. $$ 9500$$
We know that, loss $$=$$ C.P. $$-$$ S.P.
$$= 10500 - 9500$$
$$=$$ Rs. $$1000$$
Thus, the loss is Rs. $$1000$$.
Question 8
1 / -0

An article when sold at Rs.$$25$$ yields a profit of $$25$$%. The article is sold at $$10$$% discount with a marked price of Rs.$$30$$. What would be the profit earned?

A
$$30$$%

B
$$35$$%

C
$$40$$%

D
$$45$$%

Solution

Let's assume Cost Price (CP) of article = $$x$$ Rs.

Given that when SP $$= 25$$ Rs, then Profit Percentage $$= 25\%$$

$$\Rightarrow SP=CP+CP\times\dfrac{Profit\ Percentage}{100}$$

$$\Rightarrow 25=x+x\times\dfrac{25}{100}$$

$$\Rightarrow 25=x+\dfrac{x}{4}=\dfrac{5x}{4}$$

$$\therefore x=20\ Rs$$

Now, article is sold at 10% discount at marked price of $$30$$ Rs.

$$\therefore SP=MP-MP\times\dfrac{Discount\ Percentage}{100}=30-30\times\dfrac{10}{100}=27\ Rs$$

$$Profit = SP-CP=27-20=7\ Rs$$

$$Profit\ Percentage=\dfrac{Profit\times100}{CP}=\dfrac{7\times100}{20}=35\%$$
Question 9
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If S.P. of an article is $$\dfrac {4}{3}$$ of its C.P. What is the profit percentage in the transaction?

A
$$\dfrac {1}{3}$$%

B
$$20\dfrac {1}{2}$$%

C
$$33\dfrac {1}{3}$$%

D
$$25\dfrac {1}{2}$$%

Solution

Let's assume $$Cost\ Price = x$$

Then, $$Selling\ Price = \dfrac{4}{3}x$$

$$Profit = Selling\ Price-Cost\ Price=\dfrac{4}{3}x-x=\dfrac{x}{3}$$

$$Profit\ Percentage=\dfrac{Profit\times100}{Cost\ Price}=\dfrac{\dfrac{x}{3}\times100}{x}=\dfrac{100}{3}=33\dfrac{1}{3}\%$$
Question 10
1 / -0

What is the fractional equivalent of 12.5%?

A
$$\dfrac{1}{4}$$

B
$$\dfrac{2}{9}$$

C
$$\dfrac{1}{5}$$

D
$$\dfrac{1}{8}$$

Solution

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

Comparing Quantities Test - 47

Result

Comparing Quantities Test - 47

Score

-

Rank

-

SHARING IS CARING

Question 1

10%

20%

30%

40%

Solution

Question 2

$$ $192$$

$$ $120$$

$$ $126$$

$$ $1200$$

Solution

Question 3

$$ $0.56$$

$$ $1.80$$

$$ $2.50$$

$$ $3.60$$

Solution

Question 4

$$918$$

$$916$$

$$914$$

$$912$$

Solution

Question 5

10400

20400

30400

40400

Solution

Question 6

10%

20%

30%

40%

Solution

Question 7

Rs.$$1000$$

Rs.$$2000$$

Rs.$$3000$$

Rs.$$4000$$

Solution

Question 8

$$30$$%

$$35$$%

$$40$$%

$$45$$%

Solution

Question 9

$$\dfrac {1}{3}$$%

$$20\dfrac {1}{2}$$%

$$33\dfrac {1}{3}$$%

$$25\dfrac {1}{2}$$%

Solution

Question 10

$$\dfrac{1}{4}$$

$$\dfrac{2}{9}$$

$$\dfrac{1}{5}$$

$$\dfrac{1}{8}$$

Solution

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