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RS Aggarwal Solutions: Exercise 10A - Profit & Loss | Mathematics (Maths) Class 8 PDF Download

Q: 1. What is the formula to calculate profit percentage?

Ans. The formula to calculate the profit percentage is:Profit Percentage = (Profit / Cost Price) x 100

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 Page 1


Chapter 10: Profit and Loss 
Page number: 134 
Exercise 10A 
 
Question 1:    
(i)   
Solution: 
CP = Rs. 620 
SP = Rs.713 
Gain = SP – CP = Rs.(713 – 620) = Rs. 93 
93
% 100 100 15%
620
gain
gain
CP
? ? ? ? ?  
 (ii)   
Solution: 
CP = Rs.675, SP = Rs. 630 
Loss = CP - SP = Rs.(675 – 630) = Rs. 45 
45
% 100 100 6.67%
675
Loss
Loss
CP
? ? ? ?
? ? ? ? ?
? ? ? ?
? ? ? ?
  
 (iii)   
Solution: 
CP = Rs.345, SP = Rs. 372.60 
Gain = SP - CP = Rs.(372.60 – 345) = Rs. 27.6 
27.6
% 100 100 8%
345
Gain
Gain
CP
? ? ? ?
? ? ? ? ?
? ? ? ?
? ? ? ?
  
 (iv)    
Solution: 
CP = Rs.80, SP = Rs. 76.80 
Loss = CP - SP = Rs.(80 – 76.80) = Rs. 3.2 
3.2
% 100 100 4%
80
Loss
Loss
CP
? ? ? ?
? ? ? ? ?
? ? ? ?
? ? ? ?
  
 
Question 2:    
(i)   
Solution: 
CP = Rs. 1650 
Gain = 4% 
Page 2


Chapter 10: Profit and Loss 
Page number: 134 
Exercise 10A 
 
Question 1:    
(i)   
Solution: 
CP = Rs. 620 
SP = Rs.713 
Gain = SP – CP = Rs.(713 – 620) = Rs. 93 
93
% 100 100 15%
620
gain
gain
CP
? ? ? ? ?  
 (ii)   
Solution: 
CP = Rs.675, SP = Rs. 630 
Loss = CP - SP = Rs.(675 – 630) = Rs. 45 
45
% 100 100 6.67%
675
Loss
Loss
CP
? ? ? ?
? ? ? ? ?
? ? ? ?
? ? ? ?
  
 (iii)   
Solution: 
CP = Rs.345, SP = Rs. 372.60 
Gain = SP - CP = Rs.(372.60 – 345) = Rs. 27.6 
27.6
% 100 100 8%
345
Gain
Gain
CP
? ? ? ?
? ? ? ? ?
? ? ? ?
? ? ? ?
  
 (iv)    
Solution: 
CP = Rs.80, SP = Rs. 76.80 
Loss = CP - SP = Rs.(80 – 76.80) = Rs. 3.2 
3.2
% 100 100 4%
80
Loss
Loss
CP
? ? ? ?
? ? ? ? ?
? ? ? ?
? ? ? ?
  
 
Question 2:    
(i)   
Solution: 
CP = Rs. 1650 
Gain = 4% 
? ?
100 %
100
100 4
1650
100
104
1650
100
.1716
gain
SP CP
Rs
???
??
??
??
???
??
??
??
??
?
  
 (ii)    
Solution: 
CP = Rs. 915 
Gain = 
2
6%
3
 
100 %
100
20
100
3
915
100
320
915
300
.976
gain
SP CP
Rs
???
??
??
??
?? ??
?
??
??
??
??
??
??
??
??
??
??
?
  
 (iii)   
Solution: 
CP = Rs. 875 
Loss = 12% 
? ?
100 %
100
100 12
875
100
82
875
100
.717.5
loss
SP CP
Rs
???
??
??
??
???
??
??
??
??
?
  
 (iv)   
Solution: 
CP = Rs. 645 
Loss = 
1
13 %
3
 
Page 3


Chapter 10: Profit and Loss 
Page number: 134 
Exercise 10A 
 
Question 1:    
(i)   
Solution: 
CP = Rs. 620 
SP = Rs.713 
Gain = SP – CP = Rs.(713 – 620) = Rs. 93 
93
% 100 100 15%
620
gain
gain
CP
? ? ? ? ?  
 (ii)   
Solution: 
CP = Rs.675, SP = Rs. 630 
Loss = CP - SP = Rs.(675 – 630) = Rs. 45 
45
% 100 100 6.67%
675
Loss
Loss
CP
? ? ? ?
? ? ? ? ?
? ? ? ?
? ? ? ?
  
 (iii)   
Solution: 
CP = Rs.345, SP = Rs. 372.60 
Gain = SP - CP = Rs.(372.60 – 345) = Rs. 27.6 
27.6
% 100 100 8%
345
Gain
Gain
CP
? ? ? ?
? ? ? ? ?
? ? ? ?
? ? ? ?
  
 (iv)    
Solution: 
CP = Rs.80, SP = Rs. 76.80 
Loss = CP - SP = Rs.(80 – 76.80) = Rs. 3.2 
3.2
% 100 100 4%
80
Loss
Loss
CP
? ? ? ?
? ? ? ? ?
? ? ? ?
? ? ? ?
  
 
Question 2:    
(i)   
Solution: 
CP = Rs. 1650 
Gain = 4% 
? ?
100 %
100
100 4
1650
100
104
1650
100
.1716
gain
SP CP
Rs
???
??
??
??
???
??
??
??
??
?
  
 (ii)    
Solution: 
CP = Rs. 915 
Gain = 
2
6%
3
 
100 %
100
20
100
3
915
100
320
915
300
.976
gain
SP CP
Rs
???
??
??
??
?? ??
?
??
??
??
??
??
??
??
??
??
??
?
  
 (iii)   
Solution: 
CP = Rs. 875 
Loss = 12% 
? ?
100 %
100
100 12
875
100
82
875
100
.717.5
loss
SP CP
Rs
???
??
??
??
???
??
??
??
??
?
  
 (iv)   
Solution: 
CP = Rs. 645 
Loss = 
1
13 %
3
 
100 %
100
40
100
3
645
100
340
645
300
.731
loss
SP CP
Rs
???
??
??
??
?? ??
?
??
??
??
??
??
??
??
??
??
??
?
  
 
Question 3:   
(i)     
Solution: 
? ?
? ?
100
100 %
100
1596
100 12
159600
112
.1425
CP SP
Gain
Rs
??
??
??
??
?
??
??
??
??
??
??
?
??
??
?
?
   
(ii)     
Solution: 
? ?
100
100 %
100
2431
13
100
2
243100
2
187
.2600
CP SP
loss
Rs
??
??
??
??
?
??
??
??
??
??
??
??
??
??
?
??
??
?? ??
??
?
 
 
 
 
 
 
 
 
Page 4


Chapter 10: Profit and Loss 
Page number: 134 
Exercise 10A 
 
Question 1:    
(i)   
Solution: 
CP = Rs. 620 
SP = Rs.713 
Gain = SP – CP = Rs.(713 – 620) = Rs. 93 
93
% 100 100 15%
620
gain
gain
CP
? ? ? ? ?  
 (ii)   
Solution: 
CP = Rs.675, SP = Rs. 630 
Loss = CP - SP = Rs.(675 – 630) = Rs. 45 
45
% 100 100 6.67%
675
Loss
Loss
CP
? ? ? ?
? ? ? ? ?
? ? ? ?
? ? ? ?
  
 (iii)   
Solution: 
CP = Rs.345, SP = Rs. 372.60 
Gain = SP - CP = Rs.(372.60 – 345) = Rs. 27.6 
27.6
% 100 100 8%
345
Gain
Gain
CP
? ? ? ?
? ? ? ? ?
? ? ? ?
? ? ? ?
  
 (iv)    
Solution: 
CP = Rs.80, SP = Rs. 76.80 
Loss = CP - SP = Rs.(80 – 76.80) = Rs. 3.2 
3.2
% 100 100 4%
80
Loss
Loss
CP
? ? ? ?
? ? ? ? ?
? ? ? ?
? ? ? ?
  
 
Question 2:    
(i)   
Solution: 
CP = Rs. 1650 
Gain = 4% 
? ?
100 %
100
100 4
1650
100
104
1650
100
.1716
gain
SP CP
Rs
???
??
??
??
???
??
??
??
??
?
  
 (ii)    
Solution: 
CP = Rs. 915 
Gain = 
2
6%
3
 
100 %
100
20
100
3
915
100
320
915
300
.976
gain
SP CP
Rs
???
??
??
??
?? ??
?
??
??
??
??
??
??
??
??
??
??
?
  
 (iii)   
Solution: 
CP = Rs. 875 
Loss = 12% 
? ?
100 %
100
100 12
875
100
82
875
100
.717.5
loss
SP CP
Rs
???
??
??
??
???
??
??
??
??
?
  
 (iv)   
Solution: 
CP = Rs. 645 
Loss = 
1
13 %
3
 
100 %
100
40
100
3
645
100
340
645
300
.731
loss
SP CP
Rs
???
??
??
??
?? ??
?
??
??
??
??
??
??
??
??
??
??
?
  
 
Question 3:   
(i)     
Solution: 
? ?
? ?
100
100 %
100
1596
100 12
159600
112
.1425
CP SP
Gain
Rs
??
??
??
??
?
??
??
??
??
??
??
?
??
??
?
?
   
(ii)     
Solution: 
? ?
100
100 %
100
2431
13
100
2
243100
2
187
.2600
CP SP
loss
Rs
??
??
??
??
?
??
??
??
??
??
??
??
??
??
?
??
??
?? ??
??
?
 
 
 
 
 
 
 
 
(iii)   
Solution: 
? ?
? ?
100
100 %
100
657.60
100 4
65760
96
.685
CP SP
loss
Rs
??
??
??
??
?
??
??
??
??
??
??
?
??
??
?
?
   
 (iv)     
Solution: 
? ?
100
100 %
100
34.40
15
100
2
3440
2
215
.32
CP SP
Gain
Rs
??
??
??
??
?
??
??
??
??
??
??
??
??
??
?
??
??
?? ??
??
?
   
 
Question 4:   
Solution: CP = Rs. 12160 
Transportation cost = Rs.340 
Therefore total CP = 12160 + 340 = 12500 
SP = Rs.12875 
Gain = SP – CP = Rs.(12875 – 12500) = Rs. 375 
375
% 100 100 3%
12500
gain
gain
CP
? ? ? ? ?  
 
Question 5:   
Solution: Cost price of old car = Rs. 73500 
Repair cost = Rs.10300 
Insurance cost = Rs.2600 
Total cost price = Rs.(73500 + 10300 + 2600) = Rs. 86400 
SP = Rs.84240 
Now, SP ? CP 
Loss = CP – SP = (86400 – 84240) = Rs.2160 
Page 5


Chapter 10: Profit and Loss 
Page number: 134 
Exercise 10A 
 
Question 1:    
(i)   
Solution: 
CP = Rs. 620 
SP = Rs.713 
Gain = SP – CP = Rs.(713 – 620) = Rs. 93 
93
% 100 100 15%
620
gain
gain
CP
? ? ? ? ?  
 (ii)   
Solution: 
CP = Rs.675, SP = Rs. 630 
Loss = CP - SP = Rs.(675 – 630) = Rs. 45 
45
% 100 100 6.67%
675
Loss
Loss
CP
? ? ? ?
? ? ? ? ?
? ? ? ?
? ? ? ?
  
 (iii)   
Solution: 
CP = Rs.345, SP = Rs. 372.60 
Gain = SP - CP = Rs.(372.60 – 345) = Rs. 27.6 
27.6
% 100 100 8%
345
Gain
Gain
CP
? ? ? ?
? ? ? ? ?
? ? ? ?
? ? ? ?
  
 (iv)    
Solution: 
CP = Rs.80, SP = Rs. 76.80 
Loss = CP - SP = Rs.(80 – 76.80) = Rs. 3.2 
3.2
% 100 100 4%
80
Loss
Loss
CP
? ? ? ?
? ? ? ? ?
? ? ? ?
? ? ? ?
  
 
Question 2:    
(i)   
Solution: 
CP = Rs. 1650 
Gain = 4% 
? ?
100 %
100
100 4
1650
100
104
1650
100
.1716
gain
SP CP
Rs
???
??
??
??
???
??
??
??
??
?
  
 (ii)    
Solution: 
CP = Rs. 915 
Gain = 
2
6%
3
 
100 %
100
20
100
3
915
100
320
915
300
.976
gain
SP CP
Rs
???
??
??
??
?? ??
?
??
??
??
??
??
??
??
??
??
??
?
  
 (iii)   
Solution: 
CP = Rs. 875 
Loss = 12% 
? ?
100 %
100
100 12
875
100
82
875
100
.717.5
loss
SP CP
Rs
???
??
??
??
???
??
??
??
??
?
  
 (iv)   
Solution: 
CP = Rs. 645 
Loss = 
1
13 %
3
 
100 %
100
40
100
3
645
100
340
645
300
.731
loss
SP CP
Rs
???
??
??
??
?? ??
?
??
??
??
??
??
??
??
??
??
??
?
  
 
Question 3:   
(i)     
Solution: 
? ?
? ?
100
100 %
100
1596
100 12
159600
112
.1425
CP SP
Gain
Rs
??
??
??
??
?
??
??
??
??
??
??
?
??
??
?
?
   
(ii)     
Solution: 
? ?
100
100 %
100
2431
13
100
2
243100
2
187
.2600
CP SP
loss
Rs
??
??
??
??
?
??
??
??
??
??
??
??
??
??
?
??
??
?? ??
??
?
 
 
 
 
 
 
 
 
(iii)   
Solution: 
? ?
? ?
100
100 %
100
657.60
100 4
65760
96
.685
CP SP
loss
Rs
??
??
??
??
?
??
??
??
??
??
??
?
??
??
?
?
   
 (iv)     
Solution: 
? ?
100
100 %
100
34.40
15
100
2
3440
2
215
.32
CP SP
Gain
Rs
??
??
??
??
?
??
??
??
??
??
??
??
??
??
?
??
??
?? ??
??
?
   
 
Question 4:   
Solution: CP = Rs. 12160 
Transportation cost = Rs.340 
Therefore total CP = 12160 + 340 = 12500 
SP = Rs.12875 
Gain = SP – CP = Rs.(12875 – 12500) = Rs. 375 
375
% 100 100 3%
12500
gain
gain
CP
? ? ? ? ?  
 
Question 5:   
Solution: Cost price of old car = Rs. 73500 
Repair cost = Rs.10300 
Insurance cost = Rs.2600 
Total cost price = Rs.(73500 + 10300 + 2600) = Rs. 86400 
SP = Rs.84240 
Now, SP ? CP 
Loss = CP – SP = (86400 – 84240) = Rs.2160 
2160
% 100 100 2.5%
86400
Loss
Loss
CP
? ? ? ?
? ? ? ? ?
? ? ? ?
? ? ? ?
  
 
Question 6:   
Solution:  
CP of 20 kg rice = Rs. 36 × 20 = Rs.720 
CP of 25 kg rice = .32 25 .800 Rs Rs ??  
Total quantity = 20 + 25 = 45 kg 
Total CP = 720 + 800 = Rs.1520 
SP of 45 kg rice = Rs.38 × 45 = Rs.1710 
Gain = SP – CP = (1710 – 1520) = Rs.190 
% 100
190
100
1520
12.5%
gain
Gain
CP
??
??
??
??
??
??
??
??
?
 
 
Question 7:   
Solution: Let 5 kg of coffee be mixed with 2 kg of chicory. 
CP of 5 kg coffee = Rs. 250 × 5 = Rs.1250 
CP of 2 kg rice = .75 2 .150 Rs Rs ??  
Total quantity = 5 + 2 = 7 kg 
Total CP = 1250 + 150 = Rs.1400 
SP of 7 kg mixture = Rs.230 × 7 = Rs.1610 
Gain = SP – CP = (1610 – 1400) = Rs.210 
% 100
210
100
1400
15%
gain
Gain
CP
??
??
??
??
??
??
??
??
?
 
 
Question 8:   
Solution: Let the CP of one water bottle be Re.1 
CP of 16 water bottles = Rs.16 
SP of 16 water bottles = CP of 17 water bottles = Rs.17 
Gain = SP – CP = Rs.(17 – 16) = Rs.1

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FAQs on RS Aggarwal Solutions: Exercise 10A - Profit & Loss - Mathematics (Maths) Class 8

1. What is the formula to calculate profit percentage?

Ans. The formula to calculate the profit percentage is: Profit Percentage = (Profit / Cost Price) x 100

2. How do I calculate the cost price when I know the selling price and profit percentage?

Ans. To calculate the cost price when you know the selling price and profit percentage, you can use the following formula: Cost Price = (Selling Price x 100) / (100 + Profit Percentage)

3. How can I find the selling price when I know the cost price and profit percentage?

Ans. To find the selling price when you know the cost price and profit percentage, you can use the following formula: Selling Price = Cost Price + (Cost Price x Profit Percentage / 100)

4. What is the difference between profit and profit percentage?

Ans. Profit is the amount of money gained after deducting the cost price from the selling price. Profit percentage, on the other hand, is the profit expressed as a percentage of the cost price.

5. Can you explain the concept of loss in profit and loss?

Ans. Loss in profit and loss refers to the situation where the selling price is less than the cost price. It occurs when there is a decrease in the value of an asset or when the expenses exceed the earnings. Loss is calculated by subtracting the selling price from the cost price.

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