Question

Priti are allowed 8 % discount on the Marked price of the suit and still makes a profit of 15 % if her gain over the sale of a suit is rs.156,find the marked price of the suit

Answer 1

Answer:
       S.P = (100 - 8)%M.P
     or S.P = 92%M.P --- ist
       S.P =115%C.P  --- 2nd
  From Ist and 2nd , we get
        92%M.P = 115%C.P -----------------------Third
       Gain = S.P - C.P
       156 = 115%C.P - C.P
  or 156 = C.P(15/100)
or 156 *100 /15 = C.p
 or C.P = 156*20/3
or C.P = 52*20 
or C.P = 1040
Substitute C.P = 1040 in Equation 3rd , we get
  92%M.P = 115%1040
or 92/100*M.P = (115/100)*1040
or M.P = (115/100)*1040 *(100/92)
or M.P = (115*1040)/92
or M.P = 1300
Hence Marked Price of the suit is 1300.

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Answer 2

Answer:

Marked Price of a suit = Rs. 1300

Step-by-step explanation:

Discount on the marked price = 8%

Profit earned by Preeti = 15%

Gain over the sale of a suit = Rs. 156

We know that,

Profit% = Gain/C.P. × 100

⇒ 15 = 156/C.P. × 100

⇒ Cost Price = Rs. 1040

Now, S.P. = C.P. × (100 + Profit)/100

⇒ S.P. = 1040 × (115)/100

⇒ Selling Price = Rs. 1196

Now, Selling Price = Marked Price(1 - Discount%)

⇒ 1196 = x · (1 - 8%)

⇒ x = 1300

Therefore, Marked Price of a suit = Rs. 1300