​Successive discounts of 10% and 20% are equivalent to a single percentage discount of: ​

Correct option is D

Given:

Successive discount of 10% and 20%

Formula Used:

Successive Percent = $$x+y + \frac{xy}{100}$$​​

Solution:

Let the original number be 100

Then first discount = 10% of 100 = 10
Value after first discount = 100 -10 = 90

Second discount = 20% of 90 =18

Value after second discount = 90 - 18 = 72

Equivalent discount = 100 - 72 = 28%

Alternative Method:

Successive formula = $$(-10) + (-20) + \frac{(-10)(-20)}{100}$$​​

= -30 +2

= -28%