Comparing Quantities Test

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Comparing Quantities Test - 12

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Weekly Quiz Competition

Question 1
1 / -0

If the selling price of 20 articles is the same as the cost price of 23 articles, then the profit percentage is

A
10%

B
15%

C
17%

D
20%

Solution

Let the cost price of 1 article be Rs100
Cost price of 20 articles will be Rs2000
Cost of 23 articles will be2300
Given that selling price of 20 articles will be same as cost price of 23 articles
Profit on 20 articles will be=(2300-2000)=Rs300
Gain percant will be $=\frac { Gain }{ Cost\quad price } \times 100$
$=\frac { 300 }{ 2000 } \times 100=15%$
Gain will be 15%
Question 2
1 / -0

If the amount is $\text{Rs. } 500$ and the interest is $\text{Rs. }100,$ then principal is

A
$\text{Rs.}\ 100$

B
$\text{Rs.}\ 400$

C
$\text{Rs.}\ 600$

D
none of these

Solution

$$Principal \ = A - I = 500 - 100 = Rs. 400$$
Question 3
1 / -0

By selling a T.V for Rs. $1,064$ a man gains $12$ %. At what price did he buy the T.V?

A
Rs. $1000$

B
Rs. $950$

C
Rs. $850$

D
Rs. $900$

Solution

Let $CP=x$
Gain $=\cfrac{12}{100}x=\cfrac{3x}{25}$
SP $=\cfrac{3x}{25}+x=\cfrac{28x}{25}$
$\Rightarrow$ $\cfrac{28x}{25}+x=\cfrac{28x}{25}$
$\Rightarrow$ $\cfrac{28x}{25}=1,064$
$\Rightarrow$ $x=$ Rs. $950$
Question 4
1 / -0

A sum of money lent by Hari at simple interest becomes double of itself in 8 years. Then the sum will triple itself in

A
16 years

B
15 years

C
20 years

D
24 years

Solution

Sum of money be P
Amount will be=2P
time=8yrs
rate=r%
Simple interest=amount -principal
                           =(2P-P)=P
                             $P=\frac { P\times 8\times r }{ 100 }$
   $8r=100$
                              $r=12.5$ %

Now,
           Principal=P
           Amount=3P
      Therefore interest=3P-P=2P
$2P=\frac { P\times T\times 12.5 }{ 100 }$
$12.5T=200$
$T=\frac { 200 }{ 12.5 } =16years$
Sum will triple itself in 16 years
Question 5
1 / -0

If the cost price of 18 chairs is equal to selling price of 16 chairs, then the gain percent is

A
12.5%

B
13%

C
13.5%

D
14%

Solution

Let the cost price of $1$ chair be Rs $100$
cost price of $16$ chairs will be Rs $1600$
Cost price of $18$ chair will be Rs $1800$
Given that cost price of $18$ chairs will be equal to selling price of $16$ chairs
Gain on $16$ chairs will be $(1800-1600)=Rs200$
Gain Percent $=\dfrac { Gain }{ Cost\quad Price } \times 100$
$=\dfrac { 200 }{ 1600 } \times 100$
$=12.5\%$
Gain percant will be $12.5\%$
Question 6
1 / -0

A certain sum of money $Q$ was deposited for $5$ years and $4$ months at $4.5\%$ simple interest and amounted to $Rs\ 248.$ Then the value of $Q$ is

A
$Rs\ 200$

B
$Rs\ 210$

C
$Rs\ 220$

D
$Rs\ 240$

Solution

When the principal is $P$ , the rate of interest is $R$ per annum and the time period is $T$ years then the simple interest is given by,
$SI=\dfrac { P\times T\times R }{ 100 }$

Given:
$P=Q$
$R=4.5\%$
$T=5$ years $4$ months

$=5\dfrac { 4 }{ 12 }$

$=5\dfrac { 1 }{ 3 }$

$=\dfrac { 16 }{ 3 }$

So,
$SI=\dfrac { Q\times 16\times 4.5 }{ 100\times 3 }$
$=\dfrac { 24Q }{ 100 }$

Principal $+$ Interest $=$ Amount
$\Rightarrow Q+\dfrac { 24Q }{ 100 } =248$
$\Rightarrow 100Q+24Q=24800$
$\Rightarrow 124Q=24800$
$\Rightarrow Q=Rs\ 200$
Question 7
1 / -0

What will be the fraction of $20\%$ ?

A
$\dfrac{1}{4}$

B
$\dfrac{1}{5}$

C
$\dfrac{1}{10}$

D
$\dfrac{1}{20}$

Solution

The fraction of $20\%$ is
$20\times \dfrac {1}{100}=\dfrac {1}{5}$
Hence, option B is correct.
Question 8
1 / -0

If the cost price is $25\%$ of selling price, then find the profit percent.

A
$150$

B
$200$

C
$250$

D
$300$

Solution

Let the S.P be Rs. $100$
Then C.P will be Rs. $25$
Profit will be $75$
Profit $\%=\dfrac{75}{25}\times100\%=300\%$
Question 9
1 / -0

Which of the following statement is incorrect

A
If S.P is less than C.P, the seller is said to have incurred a loss

B
The price at which an article is sold is called its selling price

C
If C.P is less than S.P, the seller is said to have incurred a profit

D
If C.P is less than S.P, the seller is said to have incurred a loss

Solution

$\textbf{Step 1: Check which of the following statements is correct.}$

$\text{As we know that, }$
$\text{If cost price(C.P) is greater than the selling price(S.P), then seller incurred a loss,}$
$\text{and If cost price(C.P) is less than the selling price(S.P), then seller incurred a profit.}$

$\text{Therefore, Statements A,C are correct and D is incorrect.}$

$\textbf{Hence, option D is correct answer.}$
Question 10
1 / -0

The money borrowed or lent out for a certain period is called

A
Interest

B
Principal

C
Time Period

D
None of the above

Solution

Money borrowed or lent out for a certain period is called the principal or the sum.

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Re-Attempt Weekly Quiz Competition

Comparing Quantities Test - 12

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Comparing Quantities Test - 12

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Question 1

10%

15%

17%

20%

Solution

Question 2

Rs. 100\text{Rs.}\ 100Rs. 100

Rs. 400\text{Rs.}\ 400Rs. 400

Rs. 600\text{Rs.}\ 600Rs. 600

none of these

Solution

Question 3

Rs.100010001000

Rs.950950950

Rs.850850850

Rs.900900900

Solution

Question 4

16 years

15 years

20 years

24 years

Solution

Question 5

12.5%

13%

13.5%

14%

Solution

Question 6

Rs 200Rs\ 200Rs 200

Rs 210Rs\ 210Rs 210

Rs 220Rs\ 220Rs 220

Rs 240Rs\ 240Rs 240

Solution

Question 7

14\dfrac{1}{4}41​

15\dfrac{1}{5}51​

110\dfrac{1}{10}101​

120\dfrac{1}{20}201​

Solution

Question 8

150150150

200200200

250250250

300300300

Solution

Question 9

If S.P is less than C.P, the seller is said to have incurred a loss

The price at which an article is sold is called its selling price

If C.P is less than S.P, the seller is said to have incurred a profit

If C.P is less than S.P, the seller is said to have incurred a loss

Solution

Question 10

Interest

Principal

Time Period

None of the above

Solution

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$\text{Rs.}\ 100$

$\text{Rs.}\ 400$

$\text{Rs.}\ 600$

Rs. $1000$

Rs. $950$

Rs. $850$

Rs. $900$

$Rs\ 200$

$Rs\ 210$

$Rs\ 220$

$Rs\ 240$

$\dfrac{1}{4}$

$\dfrac{1}{5}$

$\dfrac{1}{10}$

$\dfrac{1}{20}$

$150$

$200$

$250$

$300$