The successive discounts of 28%, 20% and 10% are equivalent to a single discount of:

Correct option is B

Given:

28%, 20%, and 10%.

Solution:

Total discount = $$100 - \frac{100 – 28}{100}\times\frac{100 – 20}{100}\times\frac{100 – 10}{100}\times100$$​​

$$= 100 - \frac{72}{100}\times\frac{80}{100}\times\frac{90}{100}\times100\\ \ \\= 100 – (.72\times0.8\times.9)\times100\\ \ \\= 100 – 0.5184\times100$$​

= 100 – 51.84

= 48.16%