# 6.3 Solve sales tax, commission, and discount applications  (Page 6/15)

 Page 6 / 15

Nevaeh is a cruise specialist and earned $\text{364}$ commission after booking a cruise that cost $\text{5,200}.$ What is her rate of commission?

As a waitress, Emily earned $\text{420}$ in tips on sales of $\text{2,625}$ last Saturday night. What was her rate of commission?

16%

Alejandra earned $\text{1,393.74}$ commission on weekly sales of $\text{15,486}$ as a salesperson at the computer store. What is her rate of commission?

Maureen earned $\text{7,052.50}$ commission when she sold a $\text{45,500}$ car. What was the rate of commission?

15.5%

Lucas earned $\text{4,487.50}$ commission when he brought a $\text{35,900}$ job to his office. What was the rate of commission?

Solve Discount Applications

In the following exercises, find the sale price.

Perla bought a cellphone that was on sale for $\text{50}$ off. The original price of the cellphone was $\text{189}.$

$139 Sophie saw a dress she liked on sale for $\text{15}$ off. The original price of the dress was $\text{96}.$$81

Rick wants to buy a tool set with original price $\text{165}.$ Next week the tool set will be on sale for $\text{40%}$ off.

$125 Angelo's store is having a sale on TV sets. One set, with an original price of $\text{859},$ is selling for $\text{125}$ off. In the following exercises, find the amount of discount and the sale price. Janelle bought a beach chair on sale at $\text{60%}$ off. The original price was $\text{44.95}$ 1.$26.97
2. $17.98 Errol bought a skateboard helmet on sale at $\text{40%}$ off. The original price was $\text{49.95}.$ Kathy wants to buy a camera that lists for $\text{389}.$ The camera is on sale with a $\text{33%}$ discount. 1.$128.37
2. $260.63 Colleen bought a suit that was discounted $\text{25%}$ from an original price of $\text{245}.$ Erys bought a treadmill on sale at $\text{35%}$ off. The original price was $\text{949.95}.$ 1.$332.48
2. $617.50 Jay bought a guitar on sale at $\text{45%}$ off. The original price was $\text{514.75}.$ In the following exercises, find the amount of discount and the discount rate. (Round to the nearest tenth of a percent if needed.) Larry and Donna bought a sofa at the sale price of $\text{1,344}.$ The original price of the sofa was $\text{1,920}.$ 1.$576
2. 30%

Hiroshi bought a lawnmower at the sale price of $\text{240}.$ The original price of the lawnmower is $\text{300}.$

Patty bought a baby stroller on sale for $\text{301.75}.$ The original price of the stroller was $\text{355.}$

1. $53.25 2. 15% Bill found a book he wanted on sale for $\text{20.80}.$ The original price of the book was $\text{32}.$ Nikki bought a patio set on sale for $\text{480}.$ The original price was $\text{850}.$ 1.$370
2. 43.5%

Stella bought a dinette set on sale for $\text{725}.$ The original price was $\text{1,299}.$

Solve Mark-up Applications

In the following exercises, find the amount of the mark-up and the list price.

Daria bought a bracelet at wholesale cost $\text{16}$ to sell in her handicraft store. She marked the price up $\text{45%}.$

1. $7.20 2.$23.20

Regina bought a handmade quilt at wholesale cost $\text{120}$ to sell in her quilt store. She marked the price up $\text{55%}.$

Tom paid $\text{0.60}$ a pound for tomatoes to sell at his produce store. He added a $\text{33%}$ mark-up.

1. $0.20 2. 44.2% Flora paid her supplier $\text{0.74}$ a stem for roses to sell at her flower shop. She added an $\text{85%}$ mark-up. Alan bought a used bicycle for $\text{115}.$ After re-conditioning it, he added $\text{225%}$ mark-up and then advertised it for sale. 1.$258.75
2. $373.75 Michael bought a classic car for $\text{8,500}.$ He restored it, then added $\text{150%}$ mark-up before advertising it for sale. ## Everyday math Coupons Yvonne can use two coupons for the same purchase at her favorite department store. One coupon gives her $\text{20}$ off and the other gives her $\text{25%}$ off. She wants to buy a bedspread that sells for $\text{195}.$ 1. Calculate the discount price if Yvonne uses the $\text{20}$ coupon first and then takes $\text{25%}$ off. 2. Calculate the discount price if Yvonne uses the $\text{25%}$ off coupon first and then uses the $\text{20%}$ coupon. 3. In which order should Yvonne use the coupons? 1.$131.25
2. $126.25 3. 25% off first, then$20 off

Cash Back Jason can buy a bag of dog food for $\text{35}$ at two different stores. One store offers $\text{6%}$ cash back on the purchase plus $\text{5}$ off his next purchase. The other store offers $\text{20%}$ cash back.

1. Calculate the total savings from the first store, including the savings on the next purchase.
2. Calculate the total savings from the second store.
3. Which store should Jason buy the dog food from? Why?

## Writing exercises

Priam bought a jacket that was on sale for $\text{40%}$ off. The original price of the jacket was $\text{150}.$ While the sales clerk figured the price by calculating the amount of discount and then subtracting that amount from $\text{150},$ Priam found the price faster by calculating $\text{60%}$ of $\text{150}.$

1. Explain why Priam was correct.
2. Will Priam's method work for any original price?

1. Priam is correct. The original price is 100%. Since the discount rate was 40%, the sale price was 60% of the original price.
2. Yes.

Roxy bought a scarf on sale for $\text{50%}$ off. The original price of the scarf was $\text{32.90}.$ Roxy claimed that the price she paid for the scarf was the same as the amount she saved. Was Roxy correct? Explain.

## Self check

After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.

What does this checklist tell you about your mastery of this section? What steps will you take to improve?

#### Questions & Answers

how can chip be made from sand
is this allso about nanoscale material
Almas
are nano particles real
yeah
Joseph
Hello, if I study Physics teacher in bachelor, can I study Nanotechnology in master?
no can't
Lohitha
where is the latest information on a no technology how can I find it
William
currently
William
where we get a research paper on Nano chemistry....?
nanopartical of organic/inorganic / physical chemistry , pdf / thesis / review
Ali
what are the products of Nano chemistry?
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
da
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Bhagvanji
hey
Giriraj
Preparation and Applications of Nanomaterial for Drug Delivery
revolt
da
Application of nanotechnology in medicine
has a lot of application modern world
Kamaluddeen
yes
narayan
what is variations in raman spectra for nanomaterials
ya I also want to know the raman spectra
Bhagvanji
I only see partial conversation and what's the question here!
what about nanotechnology for water purification
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
Nasa has use it in the 60's, copper as water purification in the moon travel.
Alexandre
nanocopper obvius
Alexandre
what is the stm
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
what is a peer
What is meant by 'nano scale'?
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
Hafiz
what is Nano technology ?
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
A soccer field is a rectangle 130 meters wide and 110 meters long. The coach asks players to run from one corner to the other corner diagonally across. What is that distance, to the nearest tenths place.
Jeannette has $5 and$10 bills in her wallet. The number of fives is three more than six times the number of tens. Let t represent the number of tens. Write an expression for the number of fives.
What is the expressiin for seven less than four times the number of nickels
How do i figure this problem out.
how do you translate this in Algebraic Expressions
why surface tension is zero at critical temperature
Shanjida
I think if critical temperature denote high temperature then a liquid stats boils that time the water stats to evaporate so some moles of h2o to up and due to high temp the bonding break they have low density so it can be a reason
s.
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?