Question

Marked price of computer is rupees 22000. discount 10% and dealer still makes a profit of 20% find cost price

Answer 1

To find the cost price of the computer, assuming that this dealer is the manufacturer, the following is the procedure:

Profit = selling price - cost price

let the cost price be c
The selling price:  

= 10% discount
= discounted price = 100%(marked price) - discount (10%) = 90%
                              = 90%/100%  × 22000
                              = 0.9 × 22000
                              =  rs. 19800
This discounted price is the selling price.

Therefore profit  = 19800 - C

% profit = profit/ cost price ×100%

             = 19800-c/ c ×100% = 20%

             = 100(19800-c)/c = 20
 
             =   1980000 - 100c = 20c

             =  120c = 1980000
   
             c = 1980000/120

              c = Rs. 16500


Therefore the cost price of the computer is Rs. 16500