Question

A single discount equivalent to a discount series 15% and 5% is?

Answer 1

Given:

series of discount 15% and 5%

Here formula is:

Equivalent = A+ B +(AB)/100

And discount is written as negative

$Equivalent=(-15)+(-5) + \frac{(-15*-5)}{100}$

$=-20+\frac{75}{100}$

$=-20+\frac{3}{4}$

$=\frac{-20*4+3}{4}$

$=\frac{-80+3}{4}$

$=\frac{-77}{4}$

=-19.25

Hence the equivalent discount for  15% and 5% is 19.25%

Answer 2

Answer:

19.25%

Step-by-step explanation:

Step 1 of 2:

The formula to find the equivalent single discount is,

$(a+b)-\frac{ab}{100}$

Step 2 of 2:

Let the given discounts a = 15% and b = 5%.

Now subtitute and solve.

$(15+5)-\frac{15\times5}{100}$

$(20)-\frac{75}{100}$

Divide and finally subtract,

20 - 0.75 =  19.25%

Therefore, the equivalent single discount is 19.25%