Anand marks up the price of an article by 50% and then allows a discount of 20% and sells it to Balaji. Balaji sells it for Rs.720 more than what he purchased for, this S.P is 30% more than the original C.P of the article. Then Balaji’s profit % is

For Anand,

Let C.P. = $$100x$$

Article is marked up by 50% => $$\frac{50}{100} * 100x = 50x$$

Marked price = $$100x + 50x = 150x$$

Discount = $$\frac{20}{100} * 150x = 30x$$

=> S.P. = $$150x - 30x = 120x$$

For Balaji,

C.P. = $$120x$$ [Since, he purchased from Anand]

Profit = 720

=> S.P. = $$120x$$ + 720

Now, acc to the question, this S.P. is 30 % more than original C.P.

=> 30% of original CP = $$\frac{30}{100} * 100x = 30x$$

=> $$120x + 720 = 100x + 30x$$

=> $$x$$ = 72

Profit % of Balaji = $$\frac{720}{120*72} * 100$$ = $$\frac{100}{12}$$

= 8.33%