Question

After offering a discount of 20% on the mrp of rs.500, an article is sold at a profit of 25%. find the cp of the article.

Answer 1

MRP =500
Discount =20%
Therefore
New SP =500-20/100*500=500-100=400
Now Profit =25%
Let CP =x
Therefore
x+25/100*x=400
5/4*x=400
x=400*4/5
x=CP =320

Answer 2

Solution :-

Marked price = Rs. 500

Discount on Marked price = 20 %

Discount = (500*20)/100

Discount = Rs. 100

Selling Price = Marked Price - Discount

SP = Rs. 500 - 100

Selling Price of the article = Rs. 400

Profit percentage = 25 %

We know that, CP + Profit = SP

Let the Cost Price of the article be x Rs.

⇒ x + (x*25)/100 = 400

⇒ x + x/4 = 400

⇒ 5x/4 = 400

⇒ 5x = 400*4

⇒ 5x = 1600

⇒ x = 1600/5

⇒ x = Rs. 320

So, Cost price of the article is Rs. 320

Answer.