Question

The marked price of an article is 25% more
than that of the cost price. If the article is sold allowing
15% discount profit becomes Rs. 200. Find the marked
price and the cost price of the article.
(Ans: MP =Rs.4000,CP =Rs.3200)
​

Answer 1

Answer:

Let the Cost Price of an Article be Rs. x.

Marked Price = x + (25% of x)

= x + (25/100 * x)

= x + (x/4)

= (4x+x)/4

= Rs. 5x/4

Discount = 15% of Marked Price

= (15/100) * 5x/4

= 3/20 * 5x/4

= Rs. 3x/16

Profit = Rs. 200

According to question,

= Profit = Selling Price - Cost Price

= Profit = [ Marked Price - Discount ] - Cost Price

= 200 = [5x/4 - 3x/16 ] - x

= 200 = 17x/16 - x

= 200 = x/16

= Rs. 3200 = x

Marked Price = 5x/4

= (5*3200)/4

= Rs. 4000

The Cost Price is Rs. 3200 and Marked Price is Rs. 4000.

I hope this helps.