Question

The successive discounts of 6%, 10%, 15% are equal to a single discount of

Answer 1

The successive discounts of 6%, 10%, 15% are equal to a single discount of 30.4%.

Answer 2

Answer:

28.09% is the required single discount.

Step-by-step explanation:

Given : The successive discounts of 6%, 10%, 15%

To find : A single discount ?

Solution :

Let x be the original price.

Find the price after 6% discount:

6% discount = 0.06x

Price after discount = x - 0.06x = 0.94 x

Find the price after 10% discount:

10% discount = 0.1 (0.94x) = 0.094x

Price after discount = 0.94x - 0.094x = 0.846

Find the price after 15% discount:

15% discount = 0.15 (0.846x) = 0.1269x

Price after discount = 0.846x - 0.1269x = 0.7191x

Find the single discount:

Discount = x - 0.7191x = 0.2809x

Discount percentage = 0.2809 x 100 = 28.09%

Therefore, 28.09% is the required single discount.