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ML Aggarwal: Percentage - 2

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 Page 1


 
1. Find the profit or loss percentage, when: 
(i) C.P. = ? 400, S.P. = ? 468 
(ii) C.P. = ? 13600, S.P. = ? 12104 
Solution: 
(i) It is given that 
C.P. = ? 400, S.P. = ? 468 
Profit = S.P. – C.P. 
Substituting the values 
= 468 – 400 
= ? 68 
Here 
Profit % = 

;#BDA@ × 
E.;.
 
Substituting the values 
= 

 × 

 
= 17 % 
(ii) It is given that 
C.P. = ? 13600, S.P. = ? 12104 
Loss = C.P. – S.P. 
Substituting the values 
= 13600 – 12104 
Page 2


 
1. Find the profit or loss percentage, when: 
(i) C.P. = ? 400, S.P. = ? 468 
(ii) C.P. = ? 13600, S.P. = ? 12104 
Solution: 
(i) It is given that 
C.P. = ? 400, S.P. = ? 468 
Profit = S.P. – C.P. 
Substituting the values 
= 468 – 400 
= ? 68 
Here 
Profit % = 

;#BDA@ × 
E.;.
 
Substituting the values 
= 

 × 

 
= 17 % 
(ii) It is given that 
C.P. = ? 13600, S.P. = ? 12104 
Loss = C.P. – S.P. 
Substituting the values 
= 13600 – 12104 
= ? 1496 
Here 
Loss % = !
FBGG
E.;.
× 100( % 
Substituting the values 
= !
	
 
× 100( % 
So we get 
= 
	

 % 
= 11 % 
 
2. By selling an article for ? 1636.25, a dealer gains ? 96.25. Find his 
gain per cent. 
Solution: 
It is given that 
S.P. of an article = ? 1636.25 
Gain = ? 96.25 
So the C.P. = S.P. – Gain 
Substituting the values 
= 1636.25 – 96.25 
= ? 1540 
We know that 
Gain % = !
H$AC
E.;.
× 100( % 
Substituting the values 
Page 3


 
1. Find the profit or loss percentage, when: 
(i) C.P. = ? 400, S.P. = ? 468 
(ii) C.P. = ? 13600, S.P. = ? 12104 
Solution: 
(i) It is given that 
C.P. = ? 400, S.P. = ? 468 
Profit = S.P. – C.P. 
Substituting the values 
= 468 – 400 
= ? 68 
Here 
Profit % = 

;#BDA@ × 
E.;.
 
Substituting the values 
= 

 × 

 
= 17 % 
(ii) It is given that 
C.P. = ? 13600, S.P. = ? 12104 
Loss = C.P. – S.P. 
Substituting the values 
= 13600 – 12104 
= ? 1496 
Here 
Loss % = !
FBGG
E.;.
× 100( % 
Substituting the values 
= !
	
 
× 100( % 
So we get 
= 
	

 % 
= 11 % 
 
2. By selling an article for ? 1636.25, a dealer gains ? 96.25. Find his 
gain per cent. 
Solution: 
It is given that 
S.P. of an article = ? 1636.25 
Gain = ? 96.25 
So the C.P. = S.P. – Gain 
Substituting the values 
= 1636.25 – 96.25 
= ? 1540 
We know that 
Gain % = !
H$AC
E.;.
× 100( % 
Substituting the values 
= !
	.


× 100( % 
By further calculation 
= 
	


 % 
= 
	


 % 
So we get 
= 



 % 
= 6 


 % 
 
3. By selling an article for ? 770, a man incurs a loss of ? 110. Find his 
loss percentage. 
Solution: 
It is given that 
S.P. of an article = ? 770 
Loss = ? 110 
We know that 
C.P. = S.P. + Loss 
Substituting the values 
= 770 + 110 
= ? 880 
Here 
Loss % = !
FBGG
E.;.
× 100( % 
Page 4


 
1. Find the profit or loss percentage, when: 
(i) C.P. = ? 400, S.P. = ? 468 
(ii) C.P. = ? 13600, S.P. = ? 12104 
Solution: 
(i) It is given that 
C.P. = ? 400, S.P. = ? 468 
Profit = S.P. – C.P. 
Substituting the values 
= 468 – 400 
= ? 68 
Here 
Profit % = 

;#BDA@ × 
E.;.
 
Substituting the values 
= 

 × 

 
= 17 % 
(ii) It is given that 
C.P. = ? 13600, S.P. = ? 12104 
Loss = C.P. – S.P. 
Substituting the values 
= 13600 – 12104 
= ? 1496 
Here 
Loss % = !
FBGG
E.;.
× 100( % 
Substituting the values 
= !
	
 
× 100( % 
So we get 
= 
	

 % 
= 11 % 
 
2. By selling an article for ? 1636.25, a dealer gains ? 96.25. Find his 
gain per cent. 
Solution: 
It is given that 
S.P. of an article = ? 1636.25 
Gain = ? 96.25 
So the C.P. = S.P. – Gain 
Substituting the values 
= 1636.25 – 96.25 
= ? 1540 
We know that 
Gain % = !
H$AC
E.;.
× 100( % 
Substituting the values 
= !
	.


× 100( % 
By further calculation 
= 
	


 % 
= 
	


 % 
So we get 
= 



 % 
= 6 


 % 
 
3. By selling an article for ? 770, a man incurs a loss of ? 110. Find his 
loss percentage. 
Solution: 
It is given that 
S.P. of an article = ? 770 
Loss = ? 110 
We know that 
C.P. = S.P. + Loss 
Substituting the values 
= 770 + 110 
= ? 880 
Here 
Loss % = !
FBGG
E.;.
× 100( % 
Substituting the values 
= !


× 100( % 
By further calculation 
= 


 % 
So we get 
= 




 % 
= 12.5 % 
 
4. Rashida bought 25 dozen eggs at the rate of ? 9.60 per dozen. 30 
eggs were broken in the transaction and she sold the remaining eggs 
at one rupee each. Find her gain or loss percentage. 
Solution: 
It is given that 
C.P. of one dozen eggs = ? 9.60 
C.P. of 25 dozen eggs = 25 × 9.60 = ? 240 
No. of eggs = 25 dozen = 25 × 12 = 300 
No. of eggs broken in transaction = 30 
No. of remaining eggs = 300 – 30 = 270 
We know that 
S.P. of one egg = ? 1 
S.P. of 270 eggs = 1 × 270 = ? 270 
So the profit = S.P. – C.P. 
Substituting the values 
Page 5


 
1. Find the profit or loss percentage, when: 
(i) C.P. = ? 400, S.P. = ? 468 
(ii) C.P. = ? 13600, S.P. = ? 12104 
Solution: 
(i) It is given that 
C.P. = ? 400, S.P. = ? 468 
Profit = S.P. – C.P. 
Substituting the values 
= 468 – 400 
= ? 68 
Here 
Profit % = 

;#BDA@ × 
E.;.
 
Substituting the values 
= 

 × 

 
= 17 % 
(ii) It is given that 
C.P. = ? 13600, S.P. = ? 12104 
Loss = C.P. – S.P. 
Substituting the values 
= 13600 – 12104 
= ? 1496 
Here 
Loss % = !
FBGG
E.;.
× 100( % 
Substituting the values 
= !
	
 
× 100( % 
So we get 
= 
	

 % 
= 11 % 
 
2. By selling an article for ? 1636.25, a dealer gains ? 96.25. Find his 
gain per cent. 
Solution: 
It is given that 
S.P. of an article = ? 1636.25 
Gain = ? 96.25 
So the C.P. = S.P. – Gain 
Substituting the values 
= 1636.25 – 96.25 
= ? 1540 
We know that 
Gain % = !
H$AC
E.;.
× 100( % 
Substituting the values 
= !
	.


× 100( % 
By further calculation 
= 
	


 % 
= 
	


 % 
So we get 
= 



 % 
= 6 


 % 
 
3. By selling an article for ? 770, a man incurs a loss of ? 110. Find his 
loss percentage. 
Solution: 
It is given that 
S.P. of an article = ? 770 
Loss = ? 110 
We know that 
C.P. = S.P. + Loss 
Substituting the values 
= 770 + 110 
= ? 880 
Here 
Loss % = !
FBGG
E.;.
× 100( % 
Substituting the values 
= !


× 100( % 
By further calculation 
= 


 % 
So we get 
= 




 % 
= 12.5 % 
 
4. Rashida bought 25 dozen eggs at the rate of ? 9.60 per dozen. 30 
eggs were broken in the transaction and she sold the remaining eggs 
at one rupee each. Find her gain or loss percentage. 
Solution: 
It is given that 
C.P. of one dozen eggs = ? 9.60 
C.P. of 25 dozen eggs = 25 × 9.60 = ? 240 
No. of eggs = 25 dozen = 25 × 12 = 300 
No. of eggs broken in transaction = 30 
No. of remaining eggs = 300 – 30 = 270 
We know that 
S.P. of one egg = ? 1 
S.P. of 270 eggs = 1 × 270 = ? 270 
So the profit = S.P. – C.P. 
Substituting the values 
= 270 – 240 
= ? 30 
Here 
Profit % = !
;#BDA@
E.;.
× 100( % 
Substituting the values 
= !



× 100( % 
So we get 
= 


 % 
= 




 % 
= 12.5 % 
 
5. The cost of an article was ? 20000 and ? 1400 were spent on its 
repairs. If it is sold for a profit of 20 %, find the selling price of the 
article. 
Solution: 
It is given that 
Cost of an article = ? 20000 
Cost of its repair = ? 1400 
So the total cost = 20000 + 1400 = ? 21400 
Profit = 20 % 
We know that 
S.P. = 
-E.;.× 
 3 ;#BDA@ % .

 
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