Suppose that you are given that the sale price of an item is $54.32. this was after applying a store wide 10% discount and then a coupon discounting the item by 5%. given this information, determine the original price of the sale item. round your answer to the nearest cent. a. $60.36 c. $63.53 b. $57.18 d. $59.32

Answer with Step-by-step explanation:

Let original price=x

Applying a storewide 10% discount

Price of item=

                     = 0.90x

Applying 5% discount of coupon

Price of item=

                     = 0.95×0.90x

                     = 0.855x

⇒ 0.855x=54.32

⇒ x= 63.53

Hence, Original price of item is:

c. $ 63.53

The value of the RQ is 16 unit .

Option (B) is correct .

Step-by-step explanation:

Now by using the trignometric identity

Base = RQ

Hypotenuse = PQ = 8 unit

RQ = 4

     = 4 unit

Therefore the value of the RQ is 4 unit .

Option (B) is correct .