M.C.Q. [1 Marks Each] - Maths STD 7 Questions - Vidyadip

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M.C.Q. [1 Marks Each]

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28 questions · auto-graded multiple-choice test.

MCQ 11 Mark

If the cost price of $15$ pens is equal to the selling price of $20$ pens, then the loss percent is

✓
$25\%$
B
$20\%$
C
$15\%$
D
$18\%$

Answer

Correct option: A.

$25\%$

Let the cost price of one pen be $₹1.$
Then, $CP$ of $20$ pens $= Rs. 20$
and $SP$ of $20$ pens $= Rs. 15 ( \because SP$ of $20$ pens $= CP$ of $15$ pens$)$
Therfore, $CP$ is more than $SP.$
So, Loss $= CP - SP$
$= Rs. 20 - Rs. 15$
$= Rs. 5$
Loss $\% =\frac{\text{Loss}}{\text{CP}}\times100$
$=\frac{5}{20}\times100$
$=25\%$
Hence, the correct option is $(a).$

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MCQ 21 Mark

On selling a pen for $Rs. 100,$ a shopkeeper gains $Rs. 15.$ The cost price of the pen is:

A
$Rs. 115$
✓
$Rs. 85$
C
$Rs. 70$
D
$Rs. 130$

Answer

Correct option: B.

$Rs. 85$

Let the $CP$ be $x.$
$SP = Rs. 100$
Profit $= Rs. 15$
Therfore, $SP$ is more than $CP.$
Now,
$CP = SP\ -$ Profit
$= Rs. 100 - Rs. 15$
$= Rs. 85$
Thus, $CP = Rs. 85$
Hence, the correct option is $(b).$

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MCQ 31 Mark

On selling an article for $Rs. 144$ a man loses $10\%$. At what price should he sell it to gain $10\%?$

A
$Rs. 158.40$
B
$Rs. 172.80$
✓
$Rs. 176$
D
$Rs. 192$

Answer

Correct option: C.

$Rs. 176$

Let the $CP$ of an article be $x.$
$SP$ of the article $= Rs. 144$
Loss $= 10\%$
Therefore, $CP$ is more than $SP.$
Now, Loss $= CP - SP$ and Loss $=$ Loss percent $\times CP$
Thus, $CP - SP =$ Loss percent $\times CP$
$\Rightarrow\text{x}-144=\frac{10}{100}\times\text{x}$
$\Rightarrow\text{x}-144=\frac{1}{10}\times\text{x}$
$\Rightarrow10\text{x}-1440=\text{x}$
$\Rightarrow10\text{x}-\text{x}=1440$
$\Rightarrow9\text{x}=1440$
$\Rightarrow\text{x}=\frac{1440}{9}$
$\Rightarrow\text{x}=160$
Therefore, $CP$ of the article $= Rs. 160$
Now, in order to gain $10\%,$ let the new $SP$ be $y.$
Gain $=$ Gain percent $\times CP$
$=\frac{10}{100}\times160$
$= Rs. 16$
$SP = CP +$ Gain
$= Rs. 160 + Rs. 16$
$= Rs. 176$
Hence, the correct option is $(d)$.

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MCQ 41 Mark

On selling a pen for $Rs. 48,$ a shopkeeper loses $20\%.$ In order to gain $20\%$ what should be the selling price$?$

A
$Rs. 52$
B
$Rs. 56$
C
$Rs. 68$
✓
$Rs. 72$

Answer

Correct option: D.

$Rs. 72$

Let the $CP$ of a pen be $x$.
$SP$ of a pen $= Rs. 48$
Loss $= 20\%$
Therefore, $CP$ is more than $SP.$
Now, Loss $= CP - SP $and Loss $=$ Loss percent $\times CP$
Thus, $CP - SP =$ Loss percent $\times CP$
$\Rightarrow\text{x}-48=\frac{20}{100}\times\text{x}$
$\Rightarrow100\text{x}-4800=20\text{x}$
$\Rightarrow100\text{x}-20\text{x}=4800$
$\Rightarrow80\text{x}=4800$
$\Rightarrow\text{x}=\frac{4800}{80}$
$\Rightarrow\text{x}=60$
Therefore, $CP$ of the pen $= Rs. 60$
Now, in order to gain $20\%$, let the new $S$P be $y.$
Gain = Gain percent $\times CP$
$=\frac{20}{100}\times60$
$= Rs.12$
$SP = CP +$ Gain
$= Rs. 60 + Rs. 12$
$= Rs. 72$
Hence, the correct option is $(d).$

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MCQ 51 Mark

If $SP = Rs. 924$ and gain = 10\%, then $CP =$ Disclaimer: There is a misprint in the question. $CP$ should be ask instead of $SP.$

A
$Rs. 480$
B
$Rs. 804$
C
$Rs. 408$
✓
$Rs. 840$

Answer

Correct option: D.

$Rs. 840$

Let the $CP$ be $x.$
$SP = Rs. 924$
Gain $= 10\%$
Therfore, $SP$ is more than $CP$.
Now,
Gain$=10\%$ of $CP$ and $SP$ = $CP$ + gain
So, $SP$ = $CP$ + 10% of $CP$
$\Rightarrow924=\text{x}+\frac{10}{100}\times\text{x}$
$\Rightarrow924=\Big(1+\frac{1}{10}\Big)\text{x}$
$\Rightarrow924=\Big(\frac{11}{10}\Big)\text{x}$
$\Rightarrow\text{x}=\Big(\frac{9240}{11}\Big)$
$\Rightarrow\text{x}=840$
Thus, $CP = Rs. 840$
Hence, the correct option is $(d).$

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MCQ 61 Mark

The $CP$ of a chair is $Rs. 3300.$ If it is sold at a loss of $10\%$, then $SP$ is:

A
$Rs. 3000$
B
$Rs. 3070$
C
$Rs. 2790$
✓
$Rs. 2970$

Answer

Correct option: D.

$Rs. 2970$

Let the $SP$ be $x.$
$CP = Rs. 3300$
Loss $= 10\%$
Therfore, $CP$ is more than $SP.$
Now,
Loss $= 10\%$ of $CP$ and $SP = CP\ -$ loss
So, $SP = CP - 10\%$ of $CP$
$\Rightarrow\text{x}=3300-\frac{10}{100}\times3300$
$\Rightarrow\text{x}=\Big(1-\frac{1}{10}\Big)3300$
$\Rightarrow\text{x}=\Big(\frac{9}{10}\Big)3300$
$\Rightarrow\text{x}=2970$
Thus, $SP = Rs. 2970$
Hence, the correct option is $(d).$

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MCQ 71 Mark

A vendor bought lemons at $6$ for a rupee and sold them at $4$ for a rupee. His gain $\%$ is:

✓
$50\%$
B
$40\% $
C
$33\frac{1}{3}\%$
D
$16\frac{2}{3}\%$

Answer

Correct option: A.

$50\%$

Let the total lemons be $12.$
$CP$ of $6$ lemons $= Rs. 1$
then, $CP$ of $12$ lemons $= Rs. 2$
Also, $SP$ of $4$ lemons $= Rs. 1$
then, $SP$ of $12$ lemons $= Rs. 3$
Therefore, $SP$ is more than $CP.$
So, Gain $= SP - CP$
$= Rs. 3 - Rs. 2$
$= Rs. 1$
Gain $\% =\frac{\text{Profit}}{\text{CP}}\times100$
$=\frac{1}{2}\times100$
$=50\%$
Hence, the correct option is $(a).$

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MCQ 81 Mark

On selling a plastic chair for $Rs. 630,$ a man loses $10\%,$ the cost price of the chair is:

A
$Rs. 567$
B
$Rs. 693$
✓
$Rs. 700$
D
$Rs. 730$

Answer

Correct option: C.

$Rs. 700$

Let the $CP$ be $x.$
$SP = Rs. 630$
Loss $= 10\%$
Therfore, $CP$ is more than $SP.$
Now,
Loss $= 10\%$ of $CP$ and $SP = CP\ -$ loss
So, $SP = CP - 10\%$ of $CP$
$\Rightarrow630=\text{x}-\frac{10}{100}\times\text{x}$
$\Rightarrow630=\Big(1-\frac{1}{10}\Big)\text{x}$
$\Rightarrow630=\Big(\frac{9}{10}\Big)\text{x}$
$\Rightarrow\text{x}=\frac{6300}{9}$
$\Rightarrow\text{x}=700 $
Thus, $CP = Rs. 700$
Hence, the correct option is $(c).$

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MCQ 91 Mark

If the cost price of $6$ pencils is equal to the selling price of $5$ pencils, then the gain percent is:

A
$10\%$
✓
$20\%$
C
$15\%$
D
$25\%$

Answer

Correct option: B.

$20\%$

Let the cost price of one pencil be $Rs. 1.$
Then, $CP$ of $5$ pencils $= Rs. 5$
and $SP$ of $5$ pencils $= Rs. 6 (\because SP$ of $5$ pencils $= CP$ of $6$ pencils$)$
Therfore, $SP$ is more than $CP.$
So, Profit $= SP - CP$
$= Rs. 6 - Rs. 5$
$= Rs. 1$
Gain % $=\frac{\text{Gain}}{\text{CP}}\times100$
$=\frac{1}{5}\times100$
$=20\%$
Hence, the correct option is $(a).$

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MCQ 101 Mark

If $CP = Rs. 120$ and $SP = Rs. 80,$ then the profit or loss is equal to:

✓
$Rs. 40$ loss
B
$Rs. 60$ loss
C
$Rs. 40$ profit
D
$Rs. 60$ profit

Answer

Correct option: A.

$Rs. 40$ loss

Since, $CP$ is more than $SP.$
Therefore, loss $= CP − SP$
$= Rs. 120 - Rs. 80$
$= Rs. 40$
Hence, the correct option is $(a).$

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MCQ 111 Mark

If $CP = Rs. 200$ and $SP = Rs. 250,$ then the profit or loss is equal to:

A
$Rs. 50$ loss
✓
$Rs. 50$ profit
C
$Rs. 25$ profit
D
$Rs. 25$ loss

Answer

Correct option: B.

$Rs. 50$ profit

Since, $SP$ is more than $CP.$
Therefore, profit $= SP - CP$
$= Rs 250 - Rs. 200$
$= Rs. 50$
Hence, the correct option is $(b).$

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MCQ 121 Mark

If the cost price of $15$ pens is equal to the selling price of $20$ pens, then the loss percent is:

✓
$25\%$
B
$20\%$
C
$15\%$
D
$10\%$

Answer

Correct option: A.

$25\%$

Let the cost price of one pen be $Rs. 1.$
Then, $CP$ of $20$ pens $= Rs. 20$
and $SP$ of $20$ pens $= Rs. 15 (\because SP$ of $20$ pens $= CP$ of $15$ pens$)$
Therefore, $CP$ is more than $SP.$
So, Loss $= CP - SP$
$= Rs. 20 - Rs. 15$
$= Rs. 5$
Loss % $=\frac{\text{Loss}}{\text{CP}}\times100$
$=\frac{5}{20}\times100$
$=25\%$
Hence, the correct option is $(a).$

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MCQ 131 Mark

If $CP = Rs. 950$ and gain $6\%,$ then $SP =$

A
$Rs. 1100$
B
$Rs. 1117$
✓
$Rs. 1107$
D
$Rs. 1170$

Answer

Correct option: C.

$Rs. 1107$

Let the $SP$ be $x.$
$CP = Rs. 950$
Gain $= 6\%$
Therfore, $SP$ is more than $CP.$
Now,
Gain $= 6\%$ of $CP$
$=\frac{6}{100}\times950$
$= 3 × 19$
$= 57$
Thus, $SP = CP\ +$ gain
$= Rs. 950 + Rs. 57$
$= Rs. 1007$
Hence, the correct option is $(c).$
Disclaimer: There is a misprint in the options. Option $(c)$ must be equal to $Rs. 1007.$

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MCQ 141 Mark

A trader purchased a bicycle for $₹2500$ and sold at $₹2700.$ His profit percentage is:

✓
$8\%$
B
$10\%$
C
$6\%$
D
$4\%$

Answer

Correct option: A.

$8\%$

$CP = Rs. 2500$
$SP = Rs. 2700$
Since, $SP$ is more than $CP.$
Therefore, Profit $= SP - CP$
$= Rs. 2700 - Rs. 2500$
$= Rs. 200$
Profit Percent $=\frac{\text{Profit}}{\text{CP}}\times100$
$=\frac{200}{2500}\times100$
$=8\%$
Hence, the correct option is $(a).$

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MCQ 151 Mark

If the cost price of 6 pencils is equal to the selling price of 5 pencils, then the gain per cent is

A
$10 \%$
✓
$20 \%$
C
$15 \%$
D
$25 \%$

Answer

Correct option: B.

$20 \%$

B

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MCQ 161 Mark

If the cost price of 15 pens is equal to the selling price of 20 pens, then the loss per cent is

✓
$25 \%$
B
$20 \%$
C
$15 \%$
D
$18 \%$

Answer

Correct option: A.

$25 \%$

A

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MCQ 171 Mark

On selling an article for ₹ 144 a man loses $10 \%$. At what price should he sell it to gain $10 \%$ ?

A
₹ 158.40
B
₹ 172.80
✓
₹ 176
D
₹ 192

Answer

Correct option: C.

₹ 176

C

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MCQ 181 Mark

On selling a pen for ₹ 48 , a shopkeeper loses $20 \%$. In order to gain $20 \%$ what should be the selling price?

A
₹ 52
B
₹ 56
C
₹ 68
✓
₹ 72

Answer

Correct option: D.

₹ 72

D

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MCQ 191 Mark

A vendor bought lemons at 6 for a rupee and sold them at 4 for a rupee. His gain % is

✓
$50 \%$
B
$40 \%$
C
$33 \frac{1}{3} \%$
D
$16 \frac{2}{3} \%$

Answer

Correct option: A.

$50 \%$

A

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MCQ 201 Mark

If the cost price of 15 pens is equal to the selling price of 20 pens, than the loss per cent is

✓
$25 \%$
B
$20 \%$
C
$15 \%$
D
$10 \%$

Answer

Correct option: A.

$25 \%$

A

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MCQ 211 Mark

The C.P. of a chair is ₹3300. If it is sold at a loss of 10%, then SP is

A
₹ 3000
B
₹ 3070
C
₹ 2790
✓
₹ 2970

Answer

Correct option: D.

₹ 2970

D

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MCQ 221 Mark

On selling a plastic chair fo r₹ 630, a man loses 10%, the cost price of the chair is

A
₹ 567
B
₹ 693
✓
₹ 700
D
₹ 730

Answer

Correct option: C.

₹ 700

C

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MCQ 231 Mark

On selling a pen for ₹100, a shopkeeper gains ₹15. The cost price of the pen is

A
₹ 115
✓
₹ 85
C
₹ 70
D
₹ 130

Answer

Correct option: B.

₹ 85

B

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MCQ 241 Mark

If S.P. = ₹924 and gain = 10 %, then C.P. =

A
₹ 480
B
₹ 804
C
₹ 408
✓
₹ 840

Answer

Correct option: D.

₹ 840

D

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MCQ 251 Mark

If CP = ₹ 950 and gain 6 %, then S.P. =

A
₹ 1100
B
₹ 1117
✓
₹1007
D
₹ 1170

Answer

Correct option: C.

₹1007

C

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MCQ 261 Mark

A trader purchased a bicycle for ₹2500 and sold at ₹2700. His profit percentage is

✓
8%
B
10%
C
6%
D
4%

Answer

Correct option: A.

8%

A

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MCQ 271 Mark

If CP=₹ 120 and SP=₹ 80 , then profit or loss is equal to

✓
₹ 40 loss
B
₹60 loss
C
₹40 profit
D
₹60 profit

Answer

Correct option: A.

₹ 40 loss

A

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MCQ 281 Mark

If CP =₹ 200 and SP =₹ 250 , then the profit or loss is equal to

A
₹ 50 loss
✓
₹ 50 profit
C
₹ 25 profit
D
₹ 25 loss

Answer

Correct option: B.

₹ 50 profit

B

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M.C.Q. [1 Marks Each] - Maths STD 7 Questions - Vidyadip