8. A shopkeeper carns a profit of 15% on selling a radio, whereas if it is sold for
360 less, he suffers a loss of 15%. What

1 thought on “8. A shopkeeper carns a profit of 15% on selling a radio, whereas if it is sold for<br />360 less, he suffers a loss of 15%. What”

1. Answer:

   Cp of radio is 1200

   Step-by-step explanation:

   Let CP of radio be ‘x’ and SP of radio be ‘y’.

   Then ,

   profit=SP-CP=y-x

   given that,

   profit%=15%

   We know that,

   profit%=(profit/CP)×100

   15={(y-x)/x}×100

   15x=100y-100x

   115x=100y

   23x=20y

   x=20y/23

   If the shopkeeper sells the radio for Rs 360 less then the loss occured is of 15%.

   Now we have,

   SP=y-360

   CP=x

   loss=CP-SP=x-(y-360)

   loss=x-y+360

   loss%=15%

   we know that,

   loss%=(loss/CP)×100

   15={(x-y+360)/x}×100

   15x=100x-100y+36000

   -85x=-100y+36000

   Putting eq1 in above equation we get,

   -85{20y/23}=-100y+36000

   -1700y=-2300y+828000

   600y=828000

   y=828000/600

   y=1380

   Now by putting value of y in eq1 we get,

   x=(20×1380)/23

   x=1200

   Hence CP of radio for the shopkeeper=Rs1200

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