Question

What single decimal multiplier would you use to decrease by 6% followed by a 9% decrease?

Answer 1

Given:

• First decrement  of  $6 \%$
• Second decrement of  $9 \%$

To Find:

• Single decimal multiplier for the decrement.

Solution:

Let' s assume

            $x = 6 \%$

            $y = 9 \%$

For the one single discount,

         Formula of successive decrement is

    $\ %$$\%$ decrement = $- x\% - y \% + \frac{x \times y }{100}$

Putting the values

    $\ %$$\%$ decrement =  $-6 \% - 9 \% + \frac{6 \times 9}{100}$

                           =  $-15 + \frac{54}{100}$  

                           =   $- 15 + 0.54$

                           =   $- 14. 46 \%$

Thus, the single decrement is $-14.46 \%$