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Question :- A dealer purchased a washing machine for Rs 7660,he allows a discount of 12% on its marked price and till gains 10%

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Answer 1

CP OF WASHING MACHINE = RS . 7660

M.P = R.S . X

DISCOUNT% = 12%
DISCOUNT = R.S 12/100X

SP OF WASHING MACHINE = MP - DISCOUNT
                                                  = X - 12/100X
                                                = R.S 88/100X (EQUATION 1)
 
GAIN% = 10%
GAIN = 10/100 * CP
             =10/100 * 7660
             = R.S 766

SP OF WASHING MACHINE = CP + GAIN
                                                  = 7660 + 766
                                                 = R.S 8426 (EQUATION 2)
ON EQUATING BOTH EQUATIONS , WE GET ,
88X/100 = 8426
X = (8426*100 ) / 88
    19125
X=19125
THEREFORE  MP OF THE WASHING MACHINE IS RUPEES 19125 hope it helped