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Page 1
Q u e s t i o n : 1
Find the SP when:
i
CP = Rs 950, gain = 6%
i i
CP = Rs 9600, gain = 16
2
3
%
i i i
CP = Rs 1540, loss = 4%
i v
CP = Rs 8640, loss = 12
1
2
%
S o l u t i o n :
i
CP = Rs. 950
Gain = 6%
SP =
(100 + Gain%)
100
× CP =
(100 + 6)
100
× 950 =
106
100
× 950 =
100700
100
= Rs. 1007
i i
CP = Rs. 9600
Gain = 16
2
3
% =
50
3
%
SP =
(100 + Gain%)
100
× CP =
100 +
50
3
100
× 9600 =
350
300
×9600 =
3360
3
= Rs. 11200
i i i
CP = Rs. 1540
Loss = 4%
SP =
(100 - Loss%)
100
× CP =
(100 - 4)
100
× 1540 =
96
100
× 1540 =
147840
100
= Rs. 1478. 40
i v
CP = Rs. 8640
Loss = 12
1
2
% =
25
2
%
{ } { }
{ } {
( )
}
{ } { }
{ } { }
Page 2
Q u e s t i o n : 1
Find the SP when:
i
CP = Rs 950, gain = 6%
i i
CP = Rs 9600, gain = 16
2
3
%
i i i
CP = Rs 1540, loss = 4%
i v
CP = Rs 8640, loss = 12
1
2
%
S o l u t i o n :
i
CP = Rs. 950
Gain = 6%
SP =
(100 + Gain%)
100
× CP =
(100 + 6)
100
× 950 =
106
100
× 950 =
100700
100
= Rs. 1007
i i
CP = Rs. 9600
Gain = 16
2
3
% =
50
3
%
SP =
(100 + Gain%)
100
× CP =
100 +
50
3
100
× 9600 =
350
300
×9600 =
3360
3
= Rs. 11200
i i i
CP = Rs. 1540
Loss = 4%
SP =
(100 - Loss%)
100
× CP =
(100 - 4)
100
× 1540 =
96
100
× 1540 =
147840
100
= Rs. 1478. 40
i v
CP = Rs. 8640
Loss = 12
1
2
% =
25
2
%
{ } { }
{ } {
( )
}
{ } { }
{ } { }
SP =
(100 - Loss%)
100
× CP =
100 -
25
2
100
× 8640 =
175
200
× 8640 =
1512000
200
= Rs. 7560
Q u e s t i o n : 2
Find the gain or loss per cent when:
i
CP = Rs 2400 and SP = Rs 2592
i i
CP = Rs 1650 and SP = Rs 1452
i i i
CP = Rs 12000 and SP = Rs 12800
i v
CP = Rs 1800 and SP = Rs 1611
S o l u t i o n :
i
CP = Rs. 2400
SP = Rs. 2592
Gain = SP - CP = Rs. 2592 -2400
= Rs. 192
Gain% =
Gain
CP
× 100
=
192
2400
× 100
= 8
i i
CP = Rs. 1650
SP = Rs. 1452
Loss = CP - SP = 1650 -1452
= Rs. 198
Loss% =
Loss
CP
× 100
=
198
1650
× 100 = 12
i i i
CP = Rs. 12000 and SP = Rs. 12800
Gain = SP - CP = 12800 -12000
= Rs. 800
Gain% =
Gain
CP
× 100 =
800
12000
× 100 = 6. 66
{ } {
( )
}
( )
( )
( )
( )
( )
( )
Page 3
Q u e s t i o n : 1
Find the SP when:
i
CP = Rs 950, gain = 6%
i i
CP = Rs 9600, gain = 16
2
3
%
i i i
CP = Rs 1540, loss = 4%
i v
CP = Rs 8640, loss = 12
1
2
%
S o l u t i o n :
i
CP = Rs. 950
Gain = 6%
SP =
(100 + Gain%)
100
× CP =
(100 + 6)
100
× 950 =
106
100
× 950 =
100700
100
= Rs. 1007
i i
CP = Rs. 9600
Gain = 16
2
3
% =
50
3
%
SP =
(100 + Gain%)
100
× CP =
100 +
50
3
100
× 9600 =
350
300
×9600 =
3360
3
= Rs. 11200
i i i
CP = Rs. 1540
Loss = 4%
SP =
(100 - Loss%)
100
× CP =
(100 - 4)
100
× 1540 =
96
100
× 1540 =
147840
100
= Rs. 1478. 40
i v
CP = Rs. 8640
Loss = 12
1
2
% =
25
2
%
{ } { }
{ } {
( )
}
{ } { }
{ } { }
SP =
(100 - Loss%)
100
× CP =
100 -
25
2
100
× 8640 =
175
200
× 8640 =
1512000
200
= Rs. 7560
Q u e s t i o n : 2
Find the gain or loss per cent when:
i
CP = Rs 2400 and SP = Rs 2592
i i
CP = Rs 1650 and SP = Rs 1452
i i i
CP = Rs 12000 and SP = Rs 12800
i v
CP = Rs 1800 and SP = Rs 1611
S o l u t i o n :
i
CP = Rs. 2400
SP = Rs. 2592
Gain = SP - CP = Rs. 2592 -2400
= Rs. 192
Gain% =
Gain
CP
× 100
=
192
2400
× 100
= 8
i i
CP = Rs. 1650
SP = Rs. 1452
Loss = CP - SP = 1650 -1452
= Rs. 198
Loss% =
Loss
CP
× 100
=
198
1650
× 100 = 12
i i i
CP = Rs. 12000 and SP = Rs. 12800
Gain = SP - CP = 12800 -12000
= Rs. 800
Gain% =
Gain
CP
× 100 =
800
12000
× 100 = 6. 66
{ } {
( )
}
( )
( )
( )
( )
( )
( )
i v
CP = Rs. 1800
SP = Rs. 1611
Loss = CP - SP = 1800 -1611
= Rs. 189
Loss% =
Loss
CP
× 100 =
189
1800
× 100 = 10. 5
Q u e s t i o n : 3
Find the CP when:
i
SP = Rs 924, gain = 10%
i i
SP = Rs 1755, gain = 12
1
2
%
i i i
SP = Rs 8510, loss = 8%
i v
SP = Rs 5600, loss = 6
2
3
%
S o l u t i o n :
i
SP = Rs. 924
Gain = 10%
CP =
100
(100 + Gain%)
× SP
=
100
(100 + 10)
× 924 =
92400
110
= Rs. 840
i i
SP = Rs. 1755
Gain = 12
1
2
% =
25
2
%
CP =
100
(100 + Gain%)
× SP =
100
100 +
25
2
× 1755 =
200
225
× 1755 =
351000
225
= Rs. 1560
i i i
( )
( )
{ }
{ }
{ } {
( )
} { }
Page 4
Q u e s t i o n : 1
Find the SP when:
i
CP = Rs 950, gain = 6%
i i
CP = Rs 9600, gain = 16
2
3
%
i i i
CP = Rs 1540, loss = 4%
i v
CP = Rs 8640, loss = 12
1
2
%
S o l u t i o n :
i
CP = Rs. 950
Gain = 6%
SP =
(100 + Gain%)
100
× CP =
(100 + 6)
100
× 950 =
106
100
× 950 =
100700
100
= Rs. 1007
i i
CP = Rs. 9600
Gain = 16
2
3
% =
50
3
%
SP =
(100 + Gain%)
100
× CP =
100 +
50
3
100
× 9600 =
350
300
×9600 =
3360
3
= Rs. 11200
i i i
CP = Rs. 1540
Loss = 4%
SP =
(100 - Loss%)
100
× CP =
(100 - 4)
100
× 1540 =
96
100
× 1540 =
147840
100
= Rs. 1478. 40
i v
CP = Rs. 8640
Loss = 12
1
2
% =
25
2
%
{ } { }
{ } {
( )
}
{ } { }
{ } { }
SP =
(100 - Loss%)
100
× CP =
100 -
25
2
100
× 8640 =
175
200
× 8640 =
1512000
200
= Rs. 7560
Q u e s t i o n : 2
Find the gain or loss per cent when:
i
CP = Rs 2400 and SP = Rs 2592
i i
CP = Rs 1650 and SP = Rs 1452
i i i
CP = Rs 12000 and SP = Rs 12800
i v
CP = Rs 1800 and SP = Rs 1611
S o l u t i o n :
i
CP = Rs. 2400
SP = Rs. 2592
Gain = SP - CP = Rs. 2592 -2400
= Rs. 192
Gain% =
Gain
CP
× 100
=
192
2400
× 100
= 8
i i
CP = Rs. 1650
SP = Rs. 1452
Loss = CP - SP = 1650 -1452
= Rs. 198
Loss% =
Loss
CP
× 100
=
198
1650
× 100 = 12
i i i
CP = Rs. 12000 and SP = Rs. 12800
Gain = SP - CP = 12800 -12000
= Rs. 800
Gain% =
Gain
CP
× 100 =
800
12000
× 100 = 6. 66
{ } {
( )
}
( )
( )
( )
( )
( )
( )
i v
CP = Rs. 1800
SP = Rs. 1611
Loss = CP - SP = 1800 -1611
= Rs. 189
Loss% =
Loss
CP
× 100 =
189
1800
× 100 = 10. 5
Q u e s t i o n : 3
Find the CP when:
i
SP = Rs 924, gain = 10%
i i
SP = Rs 1755, gain = 12
1
2
%
i i i
SP = Rs 8510, loss = 8%
i v
SP = Rs 5600, loss = 6
2
3
%
S o l u t i o n :
i
SP = Rs. 924
Gain = 10%
CP =
100
(100 + Gain%)
× SP
=
100
(100 + 10)
× 924 =
92400
110
= Rs. 840
i i
SP = Rs. 1755
Gain = 12
1
2
% =
25
2
%
CP =
100
(100 + Gain%)
× SP =
100
100 +
25
2
× 1755 =
200
225
× 1755 =
351000
225
= Rs. 1560
i i i
( )
( )
{ }
{ }
{ } {
( )
} { }
SP = Rs. 8510
Loss = 8%
CP =
100
(100 - Loss%)
× SP =
100
(100 - 8 )
× 8510 =
851000
92
= Rs. 9250
i v
SP = Rs. 5600
Loss = 6
2
3
% =
20
3
%
CP =
100
(100 - Loss%)
× SP =
100
100 -
20
3
×5600 =
300
280
× 5600 =
168000
28
= Rs. 6000
Q u e s t i o n : 4
Sudhir bought an almirah for Rs 13600 and spent Rs 400 on its transportation. He sold it for Rs 16800. Find his gain
per cent.
S o l u t i o n :
Cost price of an almirah = Rs. 13600
Transportation cost = Rs. 400
Total cost price = Rs. 13600 +400
= Rs. 14000
Selling price = Rs. 16800
Now, SP > CP
Gain = SP - CP =
16800 -14000
= Rs. 2800
Gain % =
Gain
CP
× 100
%
=
2800
14000
× 100
%
=
2800
140
% = 20 %
Q u e s t i o n : 5
Ravi purchased an old house for Rs 765000 and spent Rs 115000 on its repairs. Then, he sold it at a gain of 5%.
How much did he get?
S o l u t i o n :
Cost price of the house = Rs. 765000
Cost of repairing the house = Rs. 115000
Total Cost price = 765000 +115000
= Rs. 880000
Ravi sold it at a gain of 5%.
{ } { }
{ } {
( )
} { }
( )
( )
{ } { }
Page 5
Q u e s t i o n : 1
Find the SP when:
i
CP = Rs 950, gain = 6%
i i
CP = Rs 9600, gain = 16
2
3
%
i i i
CP = Rs 1540, loss = 4%
i v
CP = Rs 8640, loss = 12
1
2
%
S o l u t i o n :
i
CP = Rs. 950
Gain = 6%
SP =
(100 + Gain%)
100
× CP =
(100 + 6)
100
× 950 =
106
100
× 950 =
100700
100
= Rs. 1007
i i
CP = Rs. 9600
Gain = 16
2
3
% =
50
3
%
SP =
(100 + Gain%)
100
× CP =
100 +
50
3
100
× 9600 =
350
300
×9600 =
3360
3
= Rs. 11200
i i i
CP = Rs. 1540
Loss = 4%
SP =
(100 - Loss%)
100
× CP =
(100 - 4)
100
× 1540 =
96
100
× 1540 =
147840
100
= Rs. 1478. 40
i v
CP = Rs. 8640
Loss = 12
1
2
% =
25
2
%
{ } { }
{ } {
( )
}
{ } { }
{ } { }
SP =
(100 - Loss%)
100
× CP =
100 -
25
2
100
× 8640 =
175
200
× 8640 =
1512000
200
= Rs. 7560
Q u e s t i o n : 2
Find the gain or loss per cent when:
i
CP = Rs 2400 and SP = Rs 2592
i i
CP = Rs 1650 and SP = Rs 1452
i i i
CP = Rs 12000 and SP = Rs 12800
i v
CP = Rs 1800 and SP = Rs 1611
S o l u t i o n :
i
CP = Rs. 2400
SP = Rs. 2592
Gain = SP - CP = Rs. 2592 -2400
= Rs. 192
Gain% =
Gain
CP
× 100
=
192
2400
× 100
= 8
i i
CP = Rs. 1650
SP = Rs. 1452
Loss = CP - SP = 1650 -1452
= Rs. 198
Loss% =
Loss
CP
× 100
=
198
1650
× 100 = 12
i i i
CP = Rs. 12000 and SP = Rs. 12800
Gain = SP - CP = 12800 -12000
= Rs. 800
Gain% =
Gain
CP
× 100 =
800
12000
× 100 = 6. 66
{ } {
( )
}
( )
( )
( )
( )
( )
( )
i v
CP = Rs. 1800
SP = Rs. 1611
Loss = CP - SP = 1800 -1611
= Rs. 189
Loss% =
Loss
CP
× 100 =
189
1800
× 100 = 10. 5
Q u e s t i o n : 3
Find the CP when:
i
SP = Rs 924, gain = 10%
i i
SP = Rs 1755, gain = 12
1
2
%
i i i
SP = Rs 8510, loss = 8%
i v
SP = Rs 5600, loss = 6
2
3
%
S o l u t i o n :
i
SP = Rs. 924
Gain = 10%
CP =
100
(100 + Gain%)
× SP
=
100
(100 + 10)
× 924 =
92400
110
= Rs. 840
i i
SP = Rs. 1755
Gain = 12
1
2
% =
25
2
%
CP =
100
(100 + Gain%)
× SP =
100
100 +
25
2
× 1755 =
200
225
× 1755 =
351000
225
= Rs. 1560
i i i
( )
( )
{ }
{ }
{ } {
( )
} { }
SP = Rs. 8510
Loss = 8%
CP =
100
(100 - Loss%)
× SP =
100
(100 - 8 )
× 8510 =
851000
92
= Rs. 9250
i v
SP = Rs. 5600
Loss = 6
2
3
% =
20
3
%
CP =
100
(100 - Loss%)
× SP =
100
100 -
20
3
×5600 =
300
280
× 5600 =
168000
28
= Rs. 6000
Q u e s t i o n : 4
Sudhir bought an almirah for Rs 13600 and spent Rs 400 on its transportation. He sold it for Rs 16800. Find his gain
per cent.
S o l u t i o n :
Cost price of an almirah = Rs. 13600
Transportation cost = Rs. 400
Total cost price = Rs. 13600 +400
= Rs. 14000
Selling price = Rs. 16800
Now, SP > CP
Gain = SP - CP =
16800 -14000
= Rs. 2800
Gain % =
Gain
CP
× 100
%
=
2800
14000
× 100
%
=
2800
140
% = 20 %
Q u e s t i o n : 5
Ravi purchased an old house for Rs 765000 and spent Rs 115000 on its repairs. Then, he sold it at a gain of 5%.
How much did he get?
S o l u t i o n :
Cost price of the house = Rs. 765000
Cost of repairing the house = Rs. 115000
Total Cost price = 765000 +115000
= Rs. 880000
Ravi sold it at a gain of 5%.
{ } { }
{ } {
( )
} { }
( )
( )
{ } { }
SP =
(100 + gain %)
100
× CP =
(100 + 5)
100
× 880000 =
105
100
× 880000 = Rs. 924000
He gets Rs. 924000.
Q u e s t i o n : 6
A vendor busy lemons at Rs 25 per dozen and sells them at the rate of 5 for Rs 12. Find his gain or loss per cent.
S o l u t i o n :
CP of 12 lemons d o z e n
= Rs. 25
CP of one lemon = Rs.
25
12
CP of five lemons = 5 ?×
25
12
=
125
12
= Rs. 10. 42
SP of five lemons = Rs. 12 g i v e n
Gain = SP - CP = 12 -10.42
= Rs 1.58
Gain % =
Gain
CP
× 100
%
=
1.58
10.42
× 100
%
= 15.2%
Q u e s t i o n : 7
The selling price of 12 pens is equal to the cost price of 15 pens. Find the gain per cent.
S o l u t i o n :
Let the cost price of the pen be Re 1.
Cost price of 12 pens = Rs 12
SP of 12 pens = CP of 15 pens = Rs 15
Gain = SP - CP = Rs 15 -12
= Rs 3
Gain % =
Gain
CP
× 100
%
=
3
12
× 100 % = 25 %
Gain% = 25%
{ } { }
( )
( )
( )
( )
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FAQs on RS Aggarwal Solutions: Profit & Loss - Mathematics (Maths) Class 7
| 1. What is profit and loss in mathematics? |  |
Ans. Profit and loss is a concept in mathematics that deals with the calculation of the gain or loss made in a business transaction. It involves calculating the difference between the selling price and the cost price of an item or service.
| 2. How do you calculate profit and loss? | |
Ans. To calculate profit, you subtract the cost price from the selling price. If the result is positive, it is a profit. If the result is negative, it is a loss. The formula for profit is Profit = Selling Price - Cost Price.
| 3. Can you give an example of calculating profit and loss? | |
Ans. Sure! Let's say you bought a shirt for $20 and sold it for $30. To calculate the profit, you subtract the cost price from the selling price: $30 - $20 = $10. So, in this case, you made a profit of $10.
| 4. What is the difference between gross profit and net profit? | |
Ans. Gross profit is the difference between the total revenue and the cost of goods sold. It represents the profit made before deducting any other expenses. Net profit, on the other hand, is the final profit after deducting all expenses, including taxes and operating costs.
| 5. How is profit and loss related to everyday life? | |
Ans. Profit and loss calculations are used in various aspects of everyday life. For example, when buying and selling goods, calculating discounts, or determining the financial performance of a business. Understanding profit and loss helps individuals make informed decisions regarding their personal finances and business transactions.
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The "RS Aggarwal Solutions: Profit & Loss Class 7 Questions" guide is a valuable resource for all aspiring students preparing for the
Class 7 exam. It focuses on providing a wide range of practice questions to help students gauge
their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation.
The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level.
Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.
Study RS Aggarwal Solutions: Profit & Loss on the App
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students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
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The content of RS Aggarwal Solutions: Profit & Loss is prepared as per the latest Class 7 syllabus.
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