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PROFIT AND LOSS
CHAPTER TEST
Q.1. Sudhir is a dealer in second hand cars. He bought a Car recently which he
sold for Rs 174000 making a 30% profit. How much had he paid for the car?
Solution:
Let the CP of the car be
Thus, profit of 30% on

 
  
 





 
 
Therefore, the CP is Rs 133846.15
Q.2. A can of drink normally holds 250ml. A special offer can is available which
gives an extra 10% free. What volume does the special offer can hold
Solution:
Normal volume 
In Special offer-= extra in 
󰇡


󰇢  
In special offer l extra can be held
=  
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Therefore, in special offer it can hold 
Q.3. Mr. Robinson bought a house 10 months ago. Because of family needs, he
decided to sell the house at a small loss of 5%. If the house is sold for Rs 79800,
how much had he paid for the house
Solution:
Let the CP of the car be
Thus, loss of 5% on

 
  
 





  
 
Therefore, the CP is 
Q.4. A fruit seller buys two dozen apples for Rs 600. Some of these apples are
bad get throw away. He sells the remaining apples at Rs 3.50 each, thus making a
profit of Rs 198. Calculate the percentage of apples that are thrown away
Solution:
No of purchased apples 
Selling price 
Total profit 
No of selling apple



No of apples thrown away  
Percentage of apples thrown away 󰇡


󰇢  
Therefore, 5% of Apples are thrown away.
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Q.5. On the occasion of Diwali, khadi bhandar allows a discount of 25% on all
textiles and 40% on readymade garments. Ramesh paid Rs 138 for a gown. What
was the marked price of the gown?
Solution:
Let the marked price of the gown be 
Khadi Bhandar allows a discount of  on the textiles and on readymade
garments.
Thus, cost of the gown for Ramesh 󰇣󰇡


󰇢󰇡


󰇢󰇤
It is given that 󰇡


󰇢󰇡


󰇢 



 
Therefore, the MP of gown is 
Q.6. A lady buys two articles whose marked prices are the same. On one of them
she pays a sales tax of 8% and on the other 6% while purchasing the article. If the
pays Rs 8 more for the first article. Find the price which the lady paid for the two
articles together
Solution:
The question tells us that the two items are the same price
So we designate that as a variable x and we told that one item has an  sales tax
making its price
 
And the other item has a sales tax of , making its price
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 

 

Therefore, Lady has to pay
Q.7 A sells an article to B at a price 10% higher than the marked price, while B
sells it to C at a price 18% higher than the marked price. If B makes a profit of Rs
72, find the marked price of the article
Solution:
Let MP of an article be 
Then, A sells to B at 10% higher than MP    
And , B sells it to C at 18% higher than MP    
Difference between B and C   
According to question there is a difference of 


Thus =  
Therefore, the MP of article is 
Q.8. A retailer makes a profit of 10% by selling an article for Rs 1166. At was listed
prices did he buy the article from the wholesaler if he had to pay a sales tax of 6%
on his purchase
Solution:
Step 1 Cost price of article
Let the CP be
Thus, profit of 10% on


  
 

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


 
 
Step 2 -Listed Price for he Buy at a sale tax of 
Let the CP be
Thus, Sale tax of 6% on



  
 





 
 
Therefore, he buys the article from the wholesale in 
Q.9. Harbhajan bought two computers A and B for 80000. He sold computer A at
30% profit and sold B at 20% discount, making a profit of Rs 5000. Find the
original price of A
Solution:
Let the CP of computers be
Then 30% profit on 


SP of  




And, 20% discount on 
SP of 

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According to question Profit made is
SP   




󰇛󰇜


 
 
Therefore, the original Price of A is 
Q.10. A shopkeeper sells a pet monkey at 12%. If he had sold it for Rs 39, he
would have made 18%. Find the cost price of the monkey for the shopkeeper
Solution:
Let Cost Price be
Profit at 12% profit:



Profit at 18% profit:












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

Therefore the Cost Price if the Monkey is Rs 650
Q.11. Tanya bought three Pigs for Rs 250 each. She sold one at a loss of 10%. At
what percent profit should she sells the remaining two pigs so as to gain 16% on
the entire outlay
Solution:
Cost price of each pig 
Total cost price of 3 pigs   
Profit on the whole transaction  
Selling price of 3 pigs should be Rs   
Selling price of one pig for the loss of 10%
 

Thus, selling price of the remaining two pigs should be 󰇛󰇜 
Cost price of the two pigs   
Profit on selling two pigs  






 
Therefore, the required Profit percentage is 29%
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Q.12. A trader marks his goods at a price that would give him 25% profit he sells
half of his goods at this price and on the half of the rest he gives a discount of
10%, and on the remaining stock he give two successive discount of 10% and
10%. Find his profit percentage on the whole stock
Solution:
MP =




Sold half at



Other half



󰇡



󰇢





Total SP





CP 
Profit







Profit %



 
Therefore, the profit is 
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Q.13. A publisher gives his distributor a discount of 30% on the printed price of
the books. The distributor sells these books to a book seller at 20% discount on
the printed price and the book seller sells these books on the printed price.
Calculate the profit percent made by:
(i) The distributor
Solution:
Let the Printed Price of the book be 
The publisher sells the book to distributor at 󰇛 󰇜

Distributors sell the book to bookseller at 󰇛 󰇜

Profit Percentage of Distributor



Profit 
Therefore, the Profit is 
(ii) The bookseller
Solution:
CP the book to Bookseller 
SP the book to Bookseller 
Profit Percentage =



=


 
Therefore, the Profit is 

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PROFIT AND LOSS CHAPTER TEST Q.1. Sudhir is a dealer in second hand cars. He bought a Car recently which he sold for Rs 174000 making a 30% profit. How much had he paid for the car? Solution: Let the CP of the car be 𝑥 Thus, profit of 30% on 𝑥 = 3 10 × 𝑥 𝑆𝑃 = 𝐶𝑃 + 𝑃𝑟𝑜𝑓𝑖𝑡 𝟑𝒙 ⇒174000 = 𝒙 + 𝟏𝟎 ⇒174000 = 13𝑥 10 ⇒13𝑥 = 1740000 ⇒𝑥 = 𝑅𝑠 133846.15 Therefore, the CP is Rs 133846.15 Q.2. A can of drink normally holds 250ml. A special offer can is available which gives an extra 10% free. What volume does the special offer can hold Solution: Normal volume= 250𝑚𝑙 In Special offer-=10% extra in 250𝑚𝑙 10 = (100) × 250 = 25𝑚𝑙 In special offer 25𝑚l extra can be held =250 + 25 = 275𝑚𝑙 Therefore, in special offer it can hold 𝟐𝟕𝟓𝒎𝒍 Q.3. Mr. Robinson bought a house 10 months ago. Because of family needs, he decided to sell the house at a small loss of 5%. If the house is sold for Rs 79800, how much had he paid for the house Solution: Let the CP of the car be 𝑥 Thus, loss of 5% on 𝑥 = 5 20 × 𝑥 𝑆𝑃 = 𝐶𝑃 + 𝑃𝑟𝑜𝑓𝑖𝑡 𝟓𝒙 ⇒79800 = 𝒙 + 𝟐𝟎 ⇒79800 = 25𝑥 20 ⇒25𝑥 = 79800 × 20 ⇒𝑥 = 𝑅𝑠 63840 Therefore, the CP is 𝑹𝒔 𝟔𝟑𝟖𝟒𝟎 Q.4. A fruit seller buys two dozen apples for Rs 600. Some of these apples are bad get throw away. He sells the remaining apples at Rs 3.50 each, thus making a profit of Rs 198. Calculate the percentage of apples that are thrown away Solution: No of purchased apples = 240 Selling price= 3.50/𝑎𝑝𝑝𝑙𝑒 Total profit = 𝑅𝑠 198 No of selling apple = 198+600 3.5 = 228 No of apples thrown away = 240– 228 = 12 12 Percentage of apples thrown away= (240) × 100 = 5% Therefore, 5% of Apples are thrown away. Q.5. On the occasion of Diwali, khadi bhandar allows a discount of 25% on all textiles and 40% on readymade garments. Ramesh paid Rs 138 for a gown. What was the marked price of the gown? Solution: Let the marked price of the gown be 𝑅𝑠 𝑥. Khadi Bhandar allows a discount of 25% on the textiles and 40% on readymade garments. 25 40 Thus, cost of the gown for Ramesh = 𝑅𝑠 [(1 − 100) (1 − 100) 𝑥] 25 40 It is given that (1 − 100) (1 − 100) 𝑥 = 138 ⇒𝑥 = 138×100×100 75×60 = 𝑅𝑠 306.66 Therefore, the MP of gown is 𝑅𝑠 306.66 Q.6. A lady buys two articles whose marked prices are the same. On one of them she pays a sales tax of 8% and on the other 6% while purchasing the article. If the pays Rs 8 more for the first article. Find the price which the lady paid for the two articles together Solution: The question tells us that the two items are the same price So we designate that as a variable x and we told that one item has an 8% sales tax making its price 𝑥 + 0.08𝑥 = 1.08𝑥 And the other item has a sales tax of 6%, making its price 𝑥 + 0.06𝑥 = 1.06𝑥 ⇒1.08𝑥 – 1.06𝑥 = 8 ⇒0.02𝑥 = 8 𝑥 = 400 Therefore, Lady has to pay 𝑹𝒔 𝟒𝟎𝟎 Q.7 A sells an article to B at a price 10% higher than the marked price, while B sells it to C at a price 18% higher than the marked price. If B makes a profit of Rs 72, find the marked price of the article Solution: Let MP of an article be 100 Then, A sells to B at 10% higher than MP = 100 + 10% × 100 = 𝑅𝑠 110 And , B sells it to C at 18% higher than MP = 100 + 18% × 100 = 𝑅𝑠 118 Difference between B and C = 118 − 110 = 8 According to question there is a difference of 72 = 72 8 = 9 Thus = 100 × 9 = 900 Therefore, the MP of article is 𝑹𝒔 𝟗𝟎𝟎 Q.8. A retailer makes a profit of 10% by selling an article for Rs 1166. At was listed prices did he buy the article from the wholesaler if he had to pay a sales tax of 6% on his purchase Solution: Step 1 – Cost price of article Let the CP be 𝑥 Thus, profit of 10% on 𝑥 = 𝑆𝑃 = 𝐶𝑃 + 𝑃𝑟𝑜𝑓𝑖𝑡 𝒙 ⇒1166 = 𝒙 + 𝟏𝟎 𝑥 10 ⇒1166 = 11𝑥 10 ⇒11𝑥 = 11660 ⇒𝑥 = 𝑅𝑠 1060 Step 2 -Listed Price for he Buy at a sale tax of 𝟔% Let the CP be 𝑥 Thus, Sale tax of 6% on 𝑥 = 3𝑥 50 𝐶𝑃 = 𝑀𝑃 − 𝑇𝑎𝑥 𝟑𝒙 ⇒1060 = 𝒙 + 𝟓𝟎 ⇒1060 = 53𝑥 50 ⇒53𝑥 = 53000 ⇒𝑥 = 𝑅𝑠 1000 Therefore, he buys the article from the wholesale in 𝑹𝒔 𝟏𝟎𝟎𝟎 Q.9. Harbhajan bought two computers A and B for 80000. He sold computer A at 30% profit and sold B at 20% discount, making a profit of Rs 5000. Find the original price of A Solution: Let the CP of computers be 𝑥 3𝑥 Then 30% profit on 𝐴 = 30% 𝑜𝑓 𝑥 = 10 3𝑥 SP of 𝐴 = 𝑥 + 10 = 13𝑥 10 𝑥 And, 20% discount on 𝐵 = 20% 𝑜𝑓 𝑥 = 5 𝑥 SP of 𝐵 = 𝑥 − 5 = 4𝑥 5 According to question Profit made is 𝑅𝑠 5000 SP = 80000 + 5000 = 85000 ⇒ ⇒ 13𝑥 10 + 4𝑥 = 85000 5 (13𝑥+ 8𝑥) 10 = 85000 ⇒ 21𝑥 = 850000 ⇒𝑥 = 𝑅𝑆 40476.2 Therefore, the original Price of A is 𝑹𝒔 𝟒𝟎𝟒𝟕𝟔. 𝟐 Q.10. A shopkeeper sells a pet monkey at 12%. If he had sold it for Rs 39, he would have made 18%. Find the cost price of the monkey for the shopkeeper Solution: Let Cost Price be 𝑥 12 Profit at 12% profit: 100 × 𝑥 18 Profit at 18% profit: 100 × 𝑥 18𝑥 12𝑥 ⇒100 − 100 = 39 6𝑥 ⇒100 = 39 𝑥 = 39 × 100 6 𝑥= 3900 6 𝑥 = 650 Therefore the Cost Price if the Monkey is Rs 650 Q.11. Tanya bought three Pigs for Rs 250 each. She sold one at a loss of 10%. At what percent profit should she sells the remaining two pigs so as to gain 16% on the entire outlay Solution: Cost price of each pig = 𝑅𝑠 250 Total cost price of 3 pigs = 3 × 𝑅𝑠 250 = 𝑅𝑠 750 Profit on the whole transaction = 16% 𝑜𝑓 𝑅𝑠 750 = 𝑅𝑠 120 Selling price of 3 pigs should be Rs 750 + 𝑅𝑠 120 = 𝑅𝑠 870 Selling price of one pig for the loss of 10% = 𝑅𝑠 250 – 10% 𝑜𝑓 𝑅𝑠 250 = 𝑅𝑠 250 – 𝑅𝑠 25 = 𝑅𝑠 225 Thus, selling price of the remaining two pigs should be 𝑅𝑠 (870 – 225) = 𝑅𝑠 645 Cost price of the two pigs = 2 × 𝑅𝑠 250 = 𝑅𝑠 500 Profit on selling two pigs = 𝑅𝑠 645 – 𝑅𝑠 500 = 𝑅𝑠 145 𝑃𝑟𝑜𝑓𝑖𝑡 % = 𝑃𝑟𝑜𝑓𝑖𝑡 𝐶𝑃 × 100 145 = 500 × 100 = 29% Therefore, the required Profit percentage is 29% Q.12. A trader marks his goods at a price that would give him 25% profit he sells half of his goods at this price and on the half of the rest he gives a discount of 10%, and on the remaining stock he give two successive discount of 10% and 10%. Find his profit percentage on the whole stock Solution: 125 MP = 100 × 𝑥 = Sold half at 125𝑥 100 125𝑥 90 Other half = 100 × 9𝑥 5𝑥 = 100 4 5𝑥 4 10 = ( 8 × 100) = 9𝑥 8 9𝑥 − 80 = Total SP = 81𝑥 80 5𝑥 4 + 81𝑥 80 = 181𝑥 80 CP = 125𝑥/100 Profit = 181𝑥 80 Profit % = − 11𝑥 5 125𝑥 100 125𝑥 100 = 880𝑥 400 = 11𝑥 5 × 100 = 176% Therefore, the profit is 𝟏𝟕𝟔% Q.13. A publisher gives his distributor a discount of 30% on the printed price of the books. The distributor sells these books to a book seller at 20% discount on the printed price and the book seller sells these books on the printed price. Calculate the profit percent made by: (i) The distributor Solution: Let the Printed Price of the book be 100 The publisher sells the book to distributor at 100(1 − 30%) = 70 Distributors sell the book to bookseller at 100(1 − 20%) = 80 Profit Percentage of Distributor= Profit = 100/7% Therefore, the Profit is 𝟏𝟎𝟎/𝟕% (ii) The bookseller Solution: CP the book to Bookseller = 80 SP the book to Bookseller = 100 Profit Percentage = 𝑃𝑟𝑜𝑓𝑖𝑡 𝐶𝑃 × 100 20 = 100 × 100 = 20% Therefore, the Profit is 𝟐𝟎% 80−70 70 × 100 Name: Description: ...
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