myhelper: RD Sharma solution class 7 chapter 12 Profit and Loss Objective Type Questions

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RD Sharma solution class 7 chapter 12 Profit and Loss Objective Type Questions

Objective Type Questions

Page-12.9

Question 1:

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

(a) ₹50 loss
(b) ₹50 profit
(c) ₹25 profit
(d) ₹25 loss

Answer 1:

Since, SP is more than CP.

Therefore, profit = SP − CP
= ₹250 − ₹200
= ₹50

Hence, the correct option is (b).

Question 2:

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

(a) ₹40 loss
(b) ₹60 loss
(c) ₹40 profit
(d) ₹60 profit

Answer 2:

Since, CP is more than SP.

Therefore, loss = CP − SP
= ₹120 − ₹80
= ₹40

Hence, the correct option is (a).

Question 3:

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

(a) 8%
(b) 10%
(c) 6%
(d) 4%

Answer 3:

CP = ₹2500
SP = ₹2700

Since, SP is more than CP.

Therefore, Profit = SP − CP
= ₹2700 − ₹2500
= ₹200

$Profit Percent = \frac{Profit}{CP} \times 100 = \frac{200}{2500} \times 100 = 8 %$

Hence, the correct option is (a).

Question 4:

If CP = ₹950 and gain 6%, then SP =

(a) ₹1100
(b) ₹1117
(c) ₹1107
(d) ₹1170

Disclaimer: There is a misprint in the options. Option (c) must be equal to ₹1007.

Answer 4:

Let the SP be x.

CP = ₹950
Gain = 6%

Therfore, SP is more than CP.

Now,

$Gain = 6 % of CP = \frac{6}{100} \times 950 = 3 \times 19 = 57$

Thus, SP = CP + gain
= ₹950 + ₹57
= ₹1007

Hence, the correct option is (c).

Question 5:

If SP = ₹924 and gain = 10%, then CP =

(a) ₹480
(b) ₹804
(c) ₹408
(d) ₹840

Disclaimer: There is a misprint in the question. CP should be ask instead of SP.

Answer 5:

Let the CP be x.

SP = ₹924
Gain = 10%

Therfore, SP is more than CP.

Now,

$Gain = 10 % of CP$ and SP = CP + gain

$So, SP = CP + 10 % of CP \Rightarrow 924 = x + \frac{10}{100} \times x \Rightarrow 924 = (1 + \frac{1}{10}) x \Rightarrow 924 = \frac{11}{10} x \Rightarrow x = 924 \times \frac{10}{11} \Rightarrow x = 840$

Thus, CP = ₹840

Hence, the correct option is (d).

Question 6:

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

(a) ₹115
(b) ₹85
(c) ₹70
(d) ₹130

Answer 6:

Let the CP be x.

SP = ₹100
Profit = ₹15

Therfore, SP is more than CP.

Now,
CP = SP − Profit
= ₹100 − ₹15
= ₹85

Thus, CP = ₹85

Hence, the correct option is (b).

Question 7:

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

(a) ₹567
(b) ₹693
(c) ₹700
(d) ₹730

Answer 7:

Let the CP be x.

SP = ₹630
Loss = 10%

Therfore, CP is more than SP.

Now,

$Loss = 10 % of CP$ and SP = CP − loss

$So, SP = CP - 10 % of CP \Rightarrow 630 = x - \frac{10}{100} \times x \Rightarrow 630 = (1 - \frac{1}{10}) x \Rightarrow 630 = \frac{9}{10} x \Rightarrow x = 630 \times \frac{10}{9} \Rightarrow x = 700$

Thus, CP = ₹700

Hence, the correct option is (c).

Question 8:

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

(a) ₹3000
(b) ₹3070
(c) ₹2790
(d) ₹2970

Answer 8:

Let the SP be x.

CP = ₹3300
Loss = 10%

Therfore, CP is more than SP.

Now,

$Loss = 10 % of CP$ and SP = CP − loss

$So, SP = CP - 10 % of CP \Rightarrow x = 3300 - \frac{10}{100} \times 3300 \Rightarrow x = 3300 - 330 \Rightarrow x = 2970$

Thus, SP = ₹2970

Hence, the correct option is (d).

Question 9:

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

(a) 25%
(b) 20%
(c) 15%
(d) 10%

Answer 9:

Let the cost price of one pen be ₹1.
Then, CP of 20 pens = ₹20
and SP of 20 pens = ₹15 (∵ SP of 20 pens = CP of 15 pens)

Therefore, CP is more than SP.

So, Loss = CP − SP
= ₹20 − ₹15
= ₹5

$Loss percent = \frac{Loss}{CP} \times 100 = \frac{5}{20} \times 100 = 25 %$

Hence, the correct option is (a).

Page-12.10

Question 10:

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

(a) 50%
(b) 40%
(c) $33 \frac{1}{3} %$
(d) $16 \frac{2}{3} %$

Answer 10:

Let the total lemons be 12.

CP of 6 lemons = ₹1
then, CP of 12 lemons = ₹2

Also, SP of 4 lemons = ₹1
then, SP of 12 lemons = ₹3

Therefore, SP is more than CP.

So, Gain = SP − CP
= ₹3 − ₹2
= ₹1

$Gain percent = \frac{Gain}{CP} \times 100 = \frac{1}{2} \times 100 = 50 %$

Hence, the correct option is (a).

Question 11:

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
(d) ₹72

Answer 11:

Let the CP of a pen be x.

SP of a pen = ₹48
Loss = 20%

Therefore, CP is more than SP.

Now, Loss = CP − SP and Loss = Loss percent × CP

$Thus, CP - SP = Loss percent \times CP \Rightarrow x - 48 = \frac{20}{100} \times x \Rightarrow 100 x - 4800 = 20 x \Rightarrow 100 x - 20 x = 4800 \Rightarrow 80 x = 4800 \Rightarrow x = \frac{4800}{80} \Rightarrow x = 60$

Therefore, CP of the pen = ₹60

Now, in order to gain 20%, let the new SP be y.

Gain = Gain percent × CP
= $\frac{20}{100} \times 60$
= ₹12

SP = CP + Gain
= ₹60 + ₹12
= ₹72

Hence, the correct option is (d).

Question 12:

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
(c) ₹176
(d) ₹192

Answer 12:

Let the CP of an article be x.

SP of the article = ₹144
Loss = 10%

Therefore, CP is more than SP.

Now, Loss = CP − SP and Loss = Loss percent × CP

$Thus, CP - SP = Loss percent \times CP \Rightarrow x - 144 = \frac{10}{100} \times x \Rightarrow x - 144 = \frac{1}{10} \times x \Rightarrow 10 x - 1440 = x \Rightarrow 10 x - x = 1440 \Rightarrow 9 x = 1440 \Rightarrow x = \frac{1440}{9} \Rightarrow x = 160$

Therefore, CP of the article = ₹160

Now, in order to gain 10%, let the new SP be y.

Gain = Gain percent × CP
= $\frac{10}{100} \times 160$
= ₹16

SP = CP + Gain
= ₹160 + ₹16
= ₹176

Hence, the correct option is (c).

Question 13:

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

(a) 25%
(b) 20%
(c) 15%
(d) 18%

Answer 13:

Let the cost price of one pen be ₹1.
Then, CP of 20 pens = ₹20
and SP of 20 pens = ₹15 (∵ SP of 20 pens = CP of 15 pens)

Therfore, CP is more than SP.

So, Loss = CP − SP
= ₹20 − ₹15
= ₹5

$Loss percent = \frac{Loss}{CP} \times 100 = \frac{5}{20} \times 100 = 25 %$

Hence, the correct option is (a).

Question 14:

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

(a) 10%
(b) 20%
(c) 15%
(d) 25%

Answer 14:

Let the cost price of one pencil be ₹1.
Then, CP of 5 pencils = ₹5
and SP of 5 pencils = ₹6 (∵ SP of 5 pencils = CP of 6 pencils)

Therfore, SP is more than CP.

So, Profit = SP − CP
= ₹6 − ₹5
= ₹1

$Gain percent = \frac{Profit}{CP} \times 100 = \frac{1}{5} \times 100 = 20 %$

Hence, the correct option is (b).

1 comment:

UnknownJanuary 25, 2021 at 9:06 PM
Perfect answers
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