Answer to Question #236818 in Math for Yeth

Question

In SM Cabanatuan, Bench clothing department store advertises a 30% off sale. On that same day, an additional 10% will be given for the first 100 customers for the same brand.

Answer the following questions:

a. Assume that you are one of the first 100 lucky customers, use composition of function to find the total percent discount.

b. What would be the sale price of a PHP 900 jacket?

Answer 1

a. Let $x=$ the initial product price. Then

$$f(x)=(1-0.3)x=0.7x,$$

$$g(x)=(1-0.1)x=0.9x$$

$$(f\circ g)(x)=0.7(0.9x)=0.63x$$

The total percent discount is 37%.

b.

$$0.63(900)=567$$

The sale price of a PHP 900 jacket would be PHP 567.