Question

How much percent above the cost price should a shopkeeper mark his articles so that after giving a discount of 25% on the marked price, he gains 20%​

Answer 1

Let the CP be Rs. 100 and MP be Rs. x

Gain % after discount = 20%

Gain = 20% of 100 = Rs. 20

SP of the article = CP + Gain

= (100 + 20)

= 120

Therefore, SP of the articles = Rs. 120.

Discount % = 25%

Discount = 25% of Marked Price

 = 25/100 × x

= 25x/100

= x/4

Therefore, Discount = Rs. x/4

As the question says

Marked Price - discount = SP

➮ x - x/4 = 120

➮ (4x - x)/4 = 120

➮ 3x/4 = 120

➮ x = 120 × 4/3

➮ x = 160

Therefore, Marked Price = Rs. 160

Amount marked above the CP = MP - CP

= (160 - 100)

= 60

Therefore, Amount marked above the CP = Rs. 60

So, % amount marked above the CP

= Amount increased/CP × 100

Substituting the values, we get,

= 60/100 × 100

= 60%

Therefore, Amount marked above the CP = 60 %.