Question

9. A seller sells an article at a discount of 20% but still makes a profit of 20%. Withe marked price of the article 750, find: (i) the selling price of the article; (ii) the price of the article.​

Answer 1

Answer:

Let the M.P be Rs.100

Then the S.P at 20% discount.=Rs.(100−20)=Rs.80

By selling in this price he makes a profit of 20%.

∴C.P.=  

100+profit%

100×S.P.

​

 

=Rs.  

100+20

100×80

​

 

=Rs.  

120

100×80

​

 

=Rs.  

3

200

​

.

In the second case, the discount =10%.

Then, the S.P.=Rs.(100−10)=Rs.90.

∴ Profit =S.P.−C.P.=Rs.(90−  

3

200

​

)

=Rs.  

3

70

​

 

∴ Profit% =  

C.P.

Profit

​

×100p.c

=  

3

200

​

 

3

70

​

 

​

×100p.c

=  

200

70×100

​

 

=35%