When an article is sold for ₹720, there is a profit of x%. When the same article is sold for ₹750, profit is (x + 5)%. What is the value of is the value of x?

20

The two selling prices are = 750 and 720

Let the cost price = y

So, according to the question =

The two profits are = x% and x+5% 

and the difference in profits are = 5%

\(\frac{750 - y}{y}\) - \(\frac{720 - y}{y}\)  = \(\frac{5}{100}\)

 \(\frac{30}{y}\) = \(\frac{5}{100}\)

CP = y = 600

Now the profit% = \(\frac{720 - 600}{600}\) × 100 = 20%