COST PRICE AND SELLING PRICE QUESTION

BY SELLING AN ARTICLE AT 2/3 OF THE MARKED PRICE, THERE IS A LOSS OF 10%. THE PROFIT PERCENT, WHEN THE ARTICLE IS SOLD AT THE MARKED PRICE, IS

 SUPPOSE MARKED PRICE = x

THEREFORE,

S.P. = Rs 2x/3

C.P. =(2x/3*90)*100 = 20x/27

PROFIT AT MARKED PRICE

  = x - 20x/27 = 7x/27

THEREFORE,

PERCENT PROFIT

  ={(7x/27)/(20x/27)}*100

  = 7x/27 * 27/20x * 100 = 35%

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