Question

A dealer makes a profit of 20% on selling an article. If the cost price is increased by 10% and the
selling price is increased by 15%, the profit is Rs.560. What is the initial cost price of the article?​

Answer 1

Step-by-step explanation:

Let initial cost price be Rs. x

Profit =  

100

20

​  

×x=  

5

x

​  

 

So, Selling price = x+  

5

x

​  

=  

5

6x

​  

 

New cost price = x+50

New selling price =  

5

6x

​  

+30

New profit = (  

5

6x

​  

+30)−(x+50)=  

5

x

​  

−20

Profit%=  

(x+50)

5

x

​  

−20

​  

×100

According to the question profit %= (20−  

3

10

​  

)%=  

3

50

​  

%

So,  

x+50

5

x

​  

−20

​  

×100=  

3

50

​  

 

⇒  

5(x+50)

x−100

​  

×100=  

3

50

​  

 

⇒  

x+50

x−100

​  

=  

6

5

​  

 

⇒ 6x−600=5x+250

⇒ x=850

Therefore, cost price of article is Rs. 850.

plz mark as brainlelist answer