Question

A single discount equivalent to the discount series of 30%, 25% and 5% is?

Answer 1

here is your answer....

Answer 2

Answer: A single discount would be 50.125%.

Step-by-step explanation:

Let x = 30%

y = 25%

z  = 5%

We need to find the single discount.

First we consider the first two discounts:

$x+y-\dfrac{xy}{100}\\\\=30+25-\dfrac{30\times 25}{100}\\\\=55-\dfrac{750}{100}\\\\=55-7.5\\\\=47.5\%$

Now, we consider z also:

$47.5+5-\dfrac{47.5\times 5}{100}\\\\=52.5-\dfrac{237.5}{100}\\\\=52.5-2.375\\\\=50.125\%$

Hence, a single discount would be 50.125%.