Find the single percentage discount equivalent to three successive discounts of 30% , 20% and 10% respectively.

Correct option is B

Given:

Three discount are 30%, 20%  and 10%

Formula Used:

Successive Discount Formula = $$d_1 + d_2 - \frac{d_1d_2}{100}$$​​

Solution:

First calculating the equivalent discount of 30% and 20%

Using successive discount formula =$$30 + 20 - \frac{(30)(20)}{100}$$​

= 50 - 6

= 44%

The calculating the equivalent discount of 44% and 10%

=$$44 + 10 - \frac{(44)(10)}{100}$$​​

= 54 - 4.4

= 49.6%