A man sold two paintings at rupees 924 each on one he gains 20% and on the other he loses 20% much does he gain or lose in the whole transaction
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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
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
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