If the single discount equivalent to successive discounts of 20% and x% is 24%, then the value of x is:

5%

If x and y are the two discounts given then,

Single discount =  a + b - \(\frac{a × b}{100}\)

a = 20%

b = x%

Single discount = 24%

According to the question,

24 = 20 + x - \(\frac{20 × x}{100}\)

4 = x - \(\frac{x}{5}\) -------- (1)

Now taking the help of option,

Take x = 5 and put it into the equation (1),

4 = 5 - \(\frac{5}{5}\)

4 = 4 Satisfied.

So the value of x = 5%