Question

a tricycle is sold at a gain of 15 % it had been sold for ₹27 profit would had been 20% find its cp

Answer 1

here is the answer for your question

Gain = 15
           Let the Cost Price of tricycle (in Rupees) = x
               and the Selling Price = y
           therefore ,
                 gain % = y - x /x *100
                       15   =100(y-x)/x
                        15x = 100y - 100x
                         15x + 100x = 100y
                        115x = 100y
                       or y = 1.15x ........(1st)
                 condition 2nd :
                 selling price = y+108
                 gain % = 20
                   ( y+108 - x /x)*100 = 20
                   or (y+108 -x ) = 20 *x/100
                       y+108 -x = x/5
                       y + 108 = x+x/5
                       y+108 = 5x+x /5
                       y+108 = 6x/5
                       y+108 = 1.2x
                 using y = 1.15x , we get
                 1.15x +108 = 1.2x
                 or 1.2x = 1.15x+108
                      1.2 x - 1.15x = 108
                   .05x = 108
                     5x/100=108
                    x/20 = 108
                   x = 108*20
                      x=2160
Hence the Cost Price of Tricycle is (Rupees) 2160.


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