Given, Selling price = Rs 13,500
Loss%=20%
Let the cost price be x.
∴Loss=20%of x
Selling price = Cost price - Loss
⇒13500=x−20100×x
⇒13500=x−15x
⇒13500=45x
⇒x=16875
Therefore, she bought it for Rs 16875.
So, cost price of the article = Rs 16875
20% of the cost price
=20100×16875=Rs3375
Net amount = 16875 + 3375 = Rs 20250
So, in order to sell the washing machine at 20% profit, she needs to sell it at Rs 20250.