Correct Answer - Option 2 : Rs. 1500 and Rs. 2000

**Given: **

Cost price of both articles = Rs.3500

Profit gained from first article = 20%

Loss from 2nd article = 10%

**Formula Used:**

Profit% = Profit/CP × 100

Loss% = Loss/CP × 100

**Calculation:**

Let the cost price of first article be 100x and cost price of second article be 100y.

Selling price for first article = 120/100 × 100x = 120x

Selling price for second article = 90/100 × 100y = 90y

So, 120x = 90y

⇒x = 3y/4 ----eq. 1

And total cost price = 100x + 100y = 3500

⇒ x + y = 35 ----eq.2

From eq.1 and eq.2 by substituting values

We get, x = 15 and y = 20

CP of first article = 100 × 15 = Rs. 1500

CP of second article = 100 × 20 = Rs. 2000

∴ CP of first and second article are Rs. 1500 and Rs. 2000 respectively.