An article is sold at a certain price. If it is sold at 33\(\frac{1}{3}\)% of this price, there is a loss of 33\(\frac{1}{3}\)%. What is the profit % if the article is sold out at 60% of its original selling price?

20%

Assume SP = 300

If it is sold at 33\(\frac{1}{3}\)% of this price i.e. \(\frac{1}{3}\) x  100 = 100             

there is loss of 33\(\frac{1}{3}\)% 

Thus, we can form a ratio of  CP  :  SP = 3  :  2

Now 2 R = 100(as assumed earlier)

       1 R →  50          CP = 3 R =  150

If article sold at 60% of original SP →  300 × \(\frac{60}{100}\) = 180

P% = \(\frac{30}{150}\) × 100% = 20%