Question

What price should a shopkeeper mark on an article wch costs m Rs 153 to gain 20% after allowing a discount of 15%

Answer 1

cost of article= rs 153
gain percentage = 20%
selling price =      (100 + Gain %)
                       ------------------------------   x C.P
                                       100
 
=                          (100 + 20 %)
                       ------------------------------   x 153
                                       100

=                    120
                   ---------- x 153
                      100
=  183.6
          
           let the marked price be x
          discount% = 15x
                               -----
                               100
           sp = mp - discount
           183.6 = x - 15x
                             ------
                              100
           183.6 = 85x
                        -----
                        100

            183.6 x 100 = 85x
             18360 = x
             --------
               85
      > x = 216
 marked price = RS 216