Question

to gain 20% after allowing a discount of 5% the shopkeeper should mark the price of the article which cost in rupees 475 is

Answer 1

Solution :-

Let the marked price be Rs. x

Discount given = 5 % 

Selling price = Marked Price - Discount

⇒ x - (x*5)/100

⇒ x/1 - x/20

⇒ (20x - x)/20

Selling Price = Rs. 19x/20

Cost price = Rs. 475 (Given)

Profit earned = 20 %

C.P. + Profit = S.P.

⇒ 475 + (475*20/100) = 19x/20

⇒ 475 + 95 = 19x/20

⇒ 570 = 19x/20

⇒ x = (570*20)/19

⇒ x = 11400/19

⇒ x = Rs.600

So, the Marked Price of the article should be Rs. 600

Answer.