Comparing Quantities Test

Result

Comparing Quantities Test - 11

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, B and C enter into partnership A invests 3 times as much as B invests and B invests two-third of what C invests At the end of the year the profit earned is Rs 6600 What is the share of B?

A
Rs 3600

B
Rs 1800

C
Rs 1200

D
None of these

Solution

Let C invest x Rs.
Then according to the question B invest=$$\frac{2x}{3} Rs.$$
A invest=$$\frac{2x}{3}\times 3=2x Rs.$$
Then $$x+\frac{2x}{3}+2x=6600$$
$$\Rightarrow 3x+2x+6x=19800$$
$$\Rightarrow 11x=19800$$
$$\Rightarrow x=1800$$
Then B's share=$$\frac{2}{3}\times 1800=1200 Rs.$$
Question 2
1 / -0

If the selling price of 50 articles is equal to the cost price of 40 articles then the loss and gain percent is

A
20% gain

B
20% loss

C
25% loss

D
25% gain

Solution

Let C.P of one article =1 Rs.
Then C.P of 40 article=40 Rs.
According to the question
S.P of 50 article =C.P of 40 article=40 Rs.
We assume that C.P of one article =1Rs.
then C.P of 50 article=50 Rs.
Loss=50-40=10 Rs.
Loss %=$$\frac{10}{50}\times 100=20$$%
Question 3
1 / -0

Mechanic Raj purchased a motorcycle for Rs. 20,000 and sold it at 5% loss. Its selling price is

A
$$Rs.\displaystyle\frac{5}{100}\times 20,000$$

B
$$Rs.\displaystyle\frac{95}{100}\times 20,000$$

C
$$Rs.\displaystyle\frac{105}{100}\times 20,000$$

D
$$Rs.\displaystyle\frac{100}{95}\times 20,000$$

Solution

$$Cost = Rs 20000$$
$$Loss = 5$$%
$$Loss = \frac{5 \times 20000}{100}$$
$$SP = CP - Loss$$
$$SP = 20000 - \frac{5 \times 20000}{100}= Rs \frac{95 \times 20000}{100}$$
Question 4
1 / -0

Equivalent of $$\displaystyle \frac { 6 }{ 20 } $$ is:

A
$$6 \%$$

B
$$20 \%$$

C
$$26 \%$$

D
$$30 \%$$

Solution

Given fraction is $$\dfrac{6}{20}$$
Equivalent percentage is
$$=\dfrac{6}{20} \times 100$$ $$=30\%$$
Question 5
1 / -0

Simple interest on Rs.2000 for 4 years is Rs.400. Percent rate of interest is

A
$$\displaystyle\frac{2000\times 100}{400\times 4}$$

B
$$\displaystyle\frac{400\times 4}{2000\times 100}$$

C
$$\displaystyle\frac{400\times 100}{2000\times 4}$$

D
None of these

Solution

Principal = Rs 2000
Time = 4 years
Interest = Rs 400
Let Rate of Interest= $$R$$
Now, $$Interest = \frac{Principal \times Rate \times Time}{100}$$
$$400 = \frac{2000\times R\times 4}{100}$$
$$R = \frac{400 \times 100}{2000 \times 4}$$
Question 6
1 / -0

A bookseller sold a book for Rs.100 and thereby gains Rs.20. Find his gain percent.

A
20%

B
25%

C
40%

D
None of these

Solution

Selling Price = Rs 100
Profit = Rs 20
Cost Price = SP - Profit = $$100 - 20= 80$$
Thus, Profit % = $$\frac{Profit}{CP} \times 100 = \frac{20}{80} \times 100 = 25$$ %
Question 7
1 / -0

A and B invest Rs 200 and Rs 300 respectively in a business for a period for three years and two years respectively. Then the profit will be divided into the ratio of

A
4:3

B
2:3

C
1:1

D
6:5

Solution

$$Ratio\quad in\quad which\quad they\quad should\quad share\quad their\quad profits=Raio\quad of\quad investments\times \quad Time\quad period$$
$$=\frac { 200\times 3 }{ 300\times 2 } =\frac { 600 }{ 600 } =1:1$$
Question 8
1 / -0

Jayant sold two books at Rs 14 each. On one he gains 20% and on the other loses 20%. Then he made

A
no profit no loss

B
loss of 4%

C
gain of 1%

D
none of these

Solution

on the first article Jayant gains 20%
so if CP is 100, selling price will be 120 and profit will be Rs20
when selling price is 120 profit is 20
when selling price is 14 profit is $$=\frac { 20 }{ 120 } \times 14=2.33$$
cost price =selling price-profit
=14-2.33
=Rs11.67
on second article he losses 20%
so if CP is 100, selling price will be 80 and Loss will be Rs20
when selling price is 80 loss is 20
when selling price is 14 loss is $$=\frac { 20 }{ 80 } \times 14=3.5$$
cost price is =selling price+loss
=14+3.5
=17.5
total selling price=14+14=Rs28
total cost price=17.5+11.67=Rs29.17
net loss=29.17-28=Rs1.17
loss percantage=$$=\frac { 1.17 }{ 29.17 } \times 100=4$$
he makes a loss of 4%
Question 9
1 / -0

If a radio is sold at Rs 972, then profit is 8%. If it is sold at Rs 872, then there is a loss of

A
Rs 28

B
Rs 25

C
Rs 20

D
Rs 15

Solution

Given,
Profit percent $$=8\%$$
Therefore:
If selling price is $$108$$ cost price will be $$100$$.
If selling price is $$1$$ cost price will be $$\dfrac { 100 }{ 108 } $$
If selling price is $$972$$ cost price $$=\dfrac { 100 }{ 108 } \times 972=900$$

If the radio is sold for $$872$$ there will be a loss of$$=\left( 872-900 \right) =Rs.28$$
Question 10
1 / -0

If the cost of a pen is $$Rs.\ 12.60$$ and the gain was $$10\%$$ of the marked price, then the marked price of the pen was

A
$$Rs.\ 15$$

B
$$Rs.\ 14$$

C
$$Rs.\ 13$$

D
$$Rs.\ 12$$

Solution

Let the marked price be $$Rs.\ 100.$$

It is given that $$10\%$$ gain is made on the marked price.
So,
$$Gain=100\times \dfrac { 10 }{ 100 } $$
$$=Rs.\ 10$$

Cost price will be $$100-10=Rs.\ 90.$$

When $$Rs.\ 90$$ is the cost price marked price is $$Rs.\ 100.$$
So, when $$Rs.\ 12.60$$ is the cost price marked price will be $$\dfrac { 100 }{ 90 } \times 12.60=Rs.\ 14.$$

Hence, option $$B$$ is correct.

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Comparing Quantities Test - 11

Result

Comparing Quantities Test - 11

Score

-

Rank

-

SHARING IS CARING

Question 1

Rs 3600

Rs 1800

Rs 1200

None of these

Solution

Question 2

20% gain

20% loss

25% loss

25% gain

Solution

Question 3

$$Rs.\displaystyle\frac{5}{100}\times 20,000$$

$$Rs.\displaystyle\frac{95}{100}\times 20,000$$

$$Rs.\displaystyle\frac{105}{100}\times 20,000$$

$$Rs.\displaystyle\frac{100}{95}\times 20,000$$

Solution

Question 4

$$6 \%$$

$$20 \%$$

$$26 \%$$

$$30 \%$$

Solution

Question 5

$$\displaystyle\frac{2000\times 100}{400\times 4}$$

$$\displaystyle\frac{400\times 4}{2000\times 100}$$

$$\displaystyle\frac{400\times 100}{2000\times 4}$$

None of these

Solution

Question 6

20%

25%

40%

None of these

Solution

Question 7

4:3

2:3

1:1

6:5

Solution

Question 8

no profit no loss

loss of 4%

gain of 1%

none of these

Solution

Question 9

Rs 28

Rs 25

Rs 20

Rs 15

Solution

Question 10

$$Rs.\ 15$$

$$Rs.\ 14$$

$$Rs.\ 13$$

$$Rs.\ 12$$

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.