Question

7. A dealer purchased a washing machine for 15320. He allows a discount of 12% on its
marked price and gains 10% on it. Find the marked price of the machine.​

Answer 1

Solution -

Let x be the marked price.

since discount = 12%

Selling price SP = 88% of marked price = 88% of x

                        = 88x/100 --------------------1

Since, after selling the music system, dealer makes a profit of 10%

SP = CP + %P * CP ---------------------as %P = (SP - CP) / CP

     = 15320 + 10/100 * 15320

     = Rs 16852 -----------------------2

Equating equation 1 and equation 2

16852 = 88x/100

x = 16852 * 100 / 88

  = Rs 19150

Answer 2

Prurchase price=15230.

With gain of 10%,

price is = 15230+1523=16753

Since,

discount is 12% on marked price,

sale value (88%)=16753.

Therefore 100% = 100/88*16753=19037.50.

Marked price=19037.50

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