Comparing Quantities Test

Result

Comparing Quantities Test - 33

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

A dishonest dealer uses a scale of $$90$$ cm instead of a meter scale and claims to sell at cost price. His profit is

A
$$9\%$$

B
$$10\%$$

C
$$\displaystyle 10\frac{9}{11}$$ $$\%$$

D
$$\displaystyle 11\frac{1}{9}$$ $$\%$$

Solution

Let the cost price of the cloth be Rs. $$100$$ per metre i.e. Rs. $$1$$ per cm
Since the shopkeeper uses $$90$$ cm scale for $$100$$ cm scale.
His gain $$=$$ Cost of $$10$$ cm $$=$$ Rs. $$10$$
Gain $$\% =$$ $$\displaystyle \frac{10}{90}\times 100$$
$$=\dfrac{100}{9}\%$$
$$=11\dfrac{1}{9}\%$$
Question 2
1 / -0

The shopkeeper gives a discount of $$12\%$$ on the pair of shoes marked for Rs. $$1425$$, then S.P is:

A
Rs. $$1245$$

B
Rs. $$1425$$

C
Rs. $$1524$$

D
Rs. $$1254$$

Solution

Given M.P. $$=$$ Rs. $$1425$$
Discount $$=12\%$$ of Rs. $$1425 =$$ $$\displaystyle\frac{12}{100}\,\times\, 1425$$
$$=$$ Rs. $$171$$
Selling price of shoes $$=$$ Rs. $$(1425 - 171) = $$ Rs. $$1254$$.
Question 3
1 / -0

By selling $$100$$ pencils a shopkeeper gains the S.P. of $$20$$ pencils. His gain percent is

A
$$25\%$$

B
$$20\%$$

C
$$15\%$$

D
$$12\%$$

Solution

S.P. of $$100$$ pencils $$-$$ C.P. of $$100$$ pencils $$=$$ S.P. of $$20$$ pencils
$$\displaystyle \Rightarrow$$ S.P. of $$80$$ pencils $$=$$ C.P. of $$100$$ pencils
Let C.P. of $$1$$ pencil $$=$$ Rs. $$1$$
Then S.P. of $$80$$ pencils $$=$$ Rs. $$100$$
$$\Rightarrow $$ C.P. of $$80$$ pencils $$=$$ Rs. $$80$$
$$\displaystyle \therefore$$ Profit $$\%$$ $$\displaystyle =\frac{100-80}{80}\times 100=\frac{20}{80}\times 100=25\%$$
Question 4
1 / -0

On what sum of money lent out at 9% per annum for 6 years does the simple interest amounts to Rs. 810?

A
Rs. 1000

B
Rs. 1500

C
Rs. 1200

D
None

Solution

Simple Interest $$=\text{Rs.}\ 810$$
$$R= 9\%$$
$$ T = 6\ \text{years}$$
$$P=?$$

According to the formula of Simple Interest:
Simple Intrest $$I\, =\, \displaystyle \frac {P\times T\times R}{100}$$

$$P\, =\, \displaystyle \frac {100 \times I}{T\times R}$$

$$ =\, \displaystyle \frac {100 \times 810}{6 \times 9}$$
$$ =\, \text{Rs.}\, 1500$$
Question 5
1 / -0

$$A$$ started a business with $$Rs. 21, 000$$ and is joined afterwards by $$B$$ with $$Rs. 36, 000$$. After how many months did B join if the profit at the end of the year are divided equally ?

A
$$3$$

B
$$4$$

C
$$5$$

D
$$6$$

Solution

Suppose B joined after x months
then,
$$21000\times12=36000\times (12-x)$$
$$=> 36x = 180$$
$$=> x = 5$$
Question 6
1 / -0

A tradesman sold an article at a loss of $$20\%$$. Had he sold it for $$Rs. 100$$ more, he should have gained $$5\%$$. The cost price of the article was

A
Rs. $$360$$

B
Rs. $$400$$

C
Rs. $$425$$

D
Rs. $$450$$

Solution

Let the cost price $$=Rs. x$$
Loss $$= 20 \%$$
Loss $$=\cfrac{20}{100} \times x$$ = $$\dfrac{x}{5}$$
Now, $$SP = CP - Loss = x - \cfrac{x}{5} = \cfrac{4x}{5}$$
If SP was Rs 100 more,
New $$SP = \cfrac{4x}{5} + 100$$
Profit $$= 5\%$$ of CP $$=\cfrac{5}{100} \times x = New \, SP - CP$$
Profit $$=\cfrac{x}{20} = \cfrac{4x}{5} + 100 - x$$
$$\cfrac{20x - 16x + x}{20} = 100$$
$$5x = 2000$$
$$x = Rs. 400$$
Question 7
1 / -0

By selling a pen for $$\text{Rs. } 15$$, a man loses one-sixteenth of what it costs him. Find the cost price of one pen.

A
$$\text{Rs. } 16$$

B
$$\text{Rs. } 18$$

C
$$\text{Rs. } 20$$

D
$$\text{Rs. } 21$$

Solution

Let's assume the cost price of the pen is $$x$$
According to the question, Loss $$=\cfrac { x }{ 16 } $$
Cost Price$$ = $$ Selling Price $$ + $$ Loss
Hence,
$$15+\dfrac { x }{ 16 } =x$$
$$15=x-\dfrac { x }{ 16 } $$
$$15=\dfrac { 15x }{ 16 } $$
$$x=16$$
Hence, the cost of $$1$$ pen is $$\text{Rs. } 16$$
Question 8
1 / -0

A shopkeeper sold sarees at $$\text{Rs. }266$$ each after giving a $$5 \%$$ discount on labeled price. Had he not given the discount, he would have earned a profit of $$12 \%$$ on the cost price. what was the cost price of each saree?

A
$$\text{Rs. } 240$$

B
$$\text{Rs. } 260$$

C
$$\text{Rs. } 280$$

D
Date indepequate

E
None of these

Solution

Let us assume that the labeled price is equal to $$x$$.

$$\dfrac{95}{100}\times x=266$$
$$\Rightarrow x = \text{Rs. } 280$$

Now consider that the cost price of the saree is equal to $$y$$. Then,
$$\text{Profit}\% = 12=\dfrac{ (280-y)\times 100 }{ y } $$
$$\begin{array}{l}\Rightarrow12y = 28000 - 100y\\\Rightarrow112y = 28000\\\Rightarrow y =\text{Rs. } 250\end{array}$$

Hence, option $$D$$ is the correct answer.
Question 9
1 / -0

Madhav lent out Rs. 7953 for 2 years and Rs. 1800 for 3 years at the same rate of simple interest. If he got Rs. 2343. 66 as total, then find the percent rate of interest.

A
11%

B
12%

C
12.5%

D
5%

Solution

We know that Simple Interest $$ = \cfrac {PNR}{100} $$
Given, $$ \cfrac {7953 \times 2 \times R}{100} + \cfrac {1800 \times 3 \times R}{100} = Rs 2343.66 $$
$$=> 159.06R + 54R = Rs 2343.66 $$
$$ => 213.06R = 2343.66 $$
$$ => R = 11 \%$$
Question 10
1 / -0

$$A$$ began a business with Rs. $$85{,}000$$. He was joined afterwards by $$B$$ with Rs. $$42{,}500$$. For how much period does $$B$$ join, if the profits at the end of the year are divided in the ratio of $$3 : 1$$?

A
$$4$$ months

B
$$5$$ months

C
$$6$$ months

D
$$8$$ months

Solution

Suppose B joined for x months . Then, $$\dfrac{ ( 85000 \times 12 )}{(42500 \times x)} = 3$$

$$=> x = \dfrac{(85000 \times 12)}{ (42500 \times 3) }$$

$$=>x= 8$$

So, B joined for 8 months.

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Comparing Quantities Test - 33

Result

Comparing Quantities Test - 33

Score

-

Rank

-

SHARING IS CARING

Question 1

$$9\%$$

$$10\%$$

$$\displaystyle 10\frac{9}{11}$$ $$\%$$

$$\displaystyle 11\frac{1}{9}$$ $$\%$$

Solution

Question 2

Rs. $$1245$$

Rs. $$1425$$

Rs. $$1524$$

Rs. $$1254$$

Solution

Question 3

$$25\%$$

$$20\%$$

$$15\%$$

$$12\%$$

Solution

Question 4

Rs. 1000

Rs. 1500

Rs. 1200

None

Solution

Question 5

$$3$$

$$4$$

$$5$$

$$6$$

Solution

Question 6

Rs. $$360$$

Rs. $$400$$

Rs. $$425$$

Rs. $$450$$

Solution

Question 7

$$\text{Rs. } 16$$

$$\text{Rs. } 18$$

$$\text{Rs. } 20$$

$$\text{Rs. } 21$$

Solution

Question 8

$$\text{Rs. } 240$$

$$\text{Rs. } 260$$

$$\text{Rs. } 280$$

Date indepequate

None of these

Solution

Question 9

11%

12%

12.5%

5%

Solution

Question 10

$$4$$ months

$$5$$ months

$$6$$ months

$$8$$ months

Solution

User

Question Analysis

My Perfomance

Score

-

Rank

-

Results Announcement on: coming Monday

Stay Tuned: We’ll update you on your result via email or SMS.