The single discount on some amount which is equivalent to successive discounts of 10%, 20% and 28% on the same amount is equal to:

Correct option is C

Given:

Successive discounts: 10%, 20%, and 28%

Formula Used:

Use the formula for successive discounts:

Single Discount (D) = $$100 \left[1 - \left(1 - \frac{d_1}{100}\right)\left(1 - \frac{d_2}{100}\right)\left(1 - \frac{d_3}{100}\right)\right]$$

Solution:

D = $$100 \left[1 - \left(1 - \frac{10}{100}\right)\left(1 - \frac{20}{100}\right)\left(1 - \frac{28}{100}\right)\right]$$​​

​$$= 100 \left[1 - (0.90 \times 0.80 \times 0.72)\right]$$​​

​$$= 100 \times (1 - 0.5184)$$​​

​$$= 100 \times 0.4816$$​​

​$$= 48.16\%$$​​

Thus, The single equivalent discount is 48.16%