A shopkeeper sells a table at a discount of 20 percent and earns a profit of 30 percent. If he sells the same table at 10 percent discount, then what will be his new profit or loss percent?

46.25 percent profit

Let the MP = 100

According to the question,

if a discount of 20% is given a profit of 30% is earned

So, 80% of 100 = 130% of Cost price

CP = \(\frac{800}{13}\)

If a discount of 10% is given on MRP then the selling price = 90% of 100 = 90

Profit = 90 - \(\frac{800}{13}\) = \(\frac{370}{13}\)

Profit% = \(\frac{370}{13}\) × 100 × \(\frac{13}{800}\)  = 46.25%