Comparing Quantities Test

Result

Comparing Quantities Test - 67

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

The cash difference between the selling prices of an article at a profit of $$4 \%$$ and $$6 \%$$ is Rs. $$3$$. The ratio of the two selling prices is:

A
$$51:52$$

B
$$52:53$$

C
$$51:53$$

D
$$52:55$$

Solution

Let the C.P be $$x$$
Then S.P for $$4\%$$ profit $$=\dfrac {104 \times x}{100}$$
S.P for $$6\%$$ profit $$=\dfrac{106x}{100}$$
Then according to the question, we have
$$\Rightarrow \dfrac{106x}{100}-\dfrac{104x}{100}=3$$
$$\Rightarrow 2x=300$$
$$\Rightarrow x=$$ Rs. $$150$$
Then S.P for $$4\%$$ profit $$=\dfrac{104}{100}\times150 =$$ Rs. $$156$$
S.P for $$6\%$$ profit $$=\dfrac{106}{100}\times 150=$$ Rs. $$159$$
Ratio of both S.P $$=156:159=52:53$$
Question 2
1 / -0

$$83.33\% $$ of coins out of $$36$$ coins are $$20$$ paise coins and rest are $$10$$ paise coins which amounts to $$6.60$$. Find the number of $$10$$ paise coins.

A
$$8$$

B
$$5$$

C
$$6$$

D
$$2$$

Solution

Given : $$83.33$$% of $$36$$ coins are $$20$$ paisa coins
$$83.33$$% of $$36 =\left( \cfrac { 83.33 }{ 100 } \right) \times 36=30$$
So, $$30$$ coins are $$20$$ paise coins and remaining $$(36-30)= 6$$ coins are $$10$$ paise coins.
Value $$=30\times 20+6\times 10=660$$ Paise $$=Rs. 6.60$$, which is the given amount.
$$\therefore $$ Number of $$10$$ paise coins are $$6$$.
Question 3
1 / -0

The population of a State increased from $$100$$ million to $$169$$ million in two decades. What is the average increase in population per decade?

A
$$20$$%

B
$$34.5$$%

C
$$69$$%

D
$$30$$%
Question 4
1 / -0

If the list price of a toy is reduced by $$Rs. 2$$ a person can buy $$2$$ toys more for $$Rs. 360$$. Find the original price of the toy.

A
$$Rs. 10$$

B
$$Rs. 15$$

C
$$Rs.20$$

D
$$Rs. 25$$

Solution

Let the price of toys be $${{Rs}}\;x$$ and the number of toys be $$y$$. So,

$$xy = 360$$

$$y = \dfrac{{360}}{x}$$

According to the question,

$$\left( {x - 2} \right)\left( {y + 2} \right) = 360$$

$$xy - 2y + 2x - 4 = 360$$

$$360 - 2\left( {\dfrac{{360}}{x}} \right) + 2x - 4 = 360$$

$${x^2} - 2x - 360 = 0$$

$${x^2} - 20x + 18x - 360 = 0$$

$$\left( {x - 20} \right)\left( {x + 18} \right) = 0$$

$$x = 20,x = - 18$$

As the price cannot be negative, so the original price of the toy is $${{Rs}}\;20$$.
Hence option (C) is correct
Question 5
1 / -0

If you plan to save Rs.$$5,000$$ with a bank an interest rate of $$8\%$$ what will be the worth of your amount after $$4$$ years if interest is compounded annually?

A
$$Rs.5,400$$

B
$$Rs.5,900$$

C
$$Rs.6,600$$

D
$$Rs.6,802$$

Solution
Question 6
1 / -0

Ajay has purchased a second hand car by taking a loan of Rs$$5000$$ from bank at a rate of interest of $$8\%$$ for $$4$$ years. Calculate the total amount he will be paying to bank a loan of Rs$$5000$$ at the end of $$4$$ years

A
Rs $$6820$$

B
Rs $$6820.44$$

C
Rs $$6800.44$$

D
Rs $$6802.44$$
Question 7
1 / -0

If the price of a book is reduced by Rs. $$5$$, a person can buy $$5$$ more books for Rs $$300$$. Find the original list price of the book.

A
$$15$$

B
$$20$$

C
$$25$$

D
$$30$$

Solution

$$\textbf{Step 1: Stating given conditions}$$
$$\text{Given that the person can buy 5 more books for Rs.300 is the price is reduced by Rs.5}$$
$$\text{Let the original price of the book be }Rs.x$$
$$\Rightarrow \text{Number of books he can buy before the price is reduced}=\dfrac{300}{x}$$
$$\Rightarrow \text{Number of books he can buys after the price is reduced}=\dfrac{300}{x-5}$$
$$\Rightarrow \dfrac{300}{x}=\dfrac{300}{x-5}+5$$
$$\textbf{Step 2: Solving}$$
  $$\Rightarrow \dfrac{300}{x}+5=\dfrac{300}{x-5}$$
$$\Rightarrow 300[\dfrac1{x-5}-\dfrac1{x}]=5$$

                $$\Rightarrow 300[\dfrac{x-x+5}{x(x-5)}]=5$$
$$\Rightarrow x(x-5)=300$$
$$\Rightarrow x^2-5x-300=0$$
$$\Rightarrow x=\dfrac{5\pm\sqrt{1225}}{2}$$
$$\Rightarrow x=\dfrac{5\pm35}{2}$$
$$\Rightarrow x=Rs.20$$
$$\textbf{Hence , the cost of one book is Rs.20. Option B is correct.}$$
Question 8
1 / -0

You need Rs.$$10,000$$ to buy a new television. If you have Rs.$$6,000$$ to invest at $$5$$ percent compounded annually, how long will you have to wait to buy the telivisions?

A
$$8.42$$ years

B
$$10.5$$ years

C
$$15.71$$ years

D
$$18.78$$ years

Solution
Question 9
1 / -0

A shirt was sold at a profit of $$15\%$$. If its cost had been $$5\%$$ less and it had been sold for $$Rs.\; 21$$ less, then profit would have been $$10\%$$. Find the cost of the shirt.

A
$$Rs.\;210$$

B
$$Rs.\;220$$

C
$$Rs.\;100$$

D
$$Rs.\;200$$

Solution
Question 10
1 / -0

Compound interest is

A
The interest on principle amount

B
The interest on previously accumulated interest as well as interest on principle amount

C
The interest on principle for number of years

D
All of the above

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Comparing Quantities Test - 67

Result

Comparing Quantities Test - 67

Score

-

Rank

-

SHARING IS CARING

Question 1

$$51:52$$

$$52:53$$

$$51:53$$

$$52:55$$

Solution

Question 2

$$8$$

$$5$$

$$6$$

$$2$$

Solution

Question 3

$$20$$%

$$34.5$$%

$$69$$%

$$30$$%

Question 4

$$Rs. 10$$

$$Rs. 15$$

$$Rs.20$$

$$Rs. 25$$

Solution

Question 5

$$Rs.5,400$$

$$Rs.5,900$$

$$Rs.6,600$$

$$Rs.6,802$$

Solution

Question 6

Rs $$6820$$

Rs $$6820.44$$

Rs $$6800.44$$

Rs $$6802.44$$

Question 7

$$15$$

$$20$$

$$25$$

$$30$$

Solution

Question 8

$$8.42$$ years

$$10.5$$ years

$$15.71$$ years

$$18.78$$ years

Solution

Question 9

$$Rs.\;210$$

$$Rs.\;220$$

$$Rs.\;100$$

$$Rs.\;200$$

Solution

Question 10

The interest on principle amount

The interest on previously accumulated interest as well as interest on principle amount

The interest on principle for number of years

All of the above

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.