If the single discount equivalent to successive discounts of 20% and x% is 24%, then the value of x is:
Answer & explanation
Correct answer: option 1
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%