Question

A man sold two painting at rupee 924 each.On one he gains 10% and on the other he loses 10%.How much does he gain or loss in the whole transaction

Answer 1

Given that he gains 10% and loses 10%.

Loss = (10/10)^2

         = 100/100

          = 1%.

Answer 2

case (i)
SP =Rs 924          Gain 10%
let CP= Rs 100
SP= 100+10=110
when SP is Rs 110, CP= 100
when SP is Re. 1 , CP= 100/110
When SP is Rs 924, CP= (110/100)×924
=Rs1016.4
Case(ii)
SP=924    Loss= 10%
let CP= Rs100
SP=Rs 90
when SP is Rs 90, CP = Rs 100
when SP is Rs 924, CP= Rs (100/90)×924
                                          =Rs 9240/9
                                          =1026.67
Now SP of Both the watches = 2x924=Rs1848
          CP of both the watches = Rs (1016.40+1026.67)=Rs 2043.07
since CP>SP, Loss= 2043.07-1848=195.07