Mark-ups and Discounts Involving Sales Tax

We will discuss here how to solve the problems based on mark-ups and discounts involving sales tax.

1. Davis bought a car listed at $ 536500 at 8% discount and then 10% sales tax charged on the discounted price. Find the amount Davis paid for the car.

Solution:

Price listed on the car = $ 536500, rate of discount = 8%

Therefore, the amount of discount = $ (536500 X 8/100) = $ 42920

Therefore, the selling price of the car = $ (536500 - 42920) = $ 493580.

The rate of sales tax = 10%

Therefore, the sale tax on the car = $ (493580 X 10/100) = $ 49358

Therefore, the amount paid by Davis = $ (493580 + 49358) = $ 542938.

2. Ron buys a car for $ 38,400 which includes 10% discount and then 6% sales tax on the marked price. Find the marked price of the car.

Solution:

Let the marked price of the car be P. Then, the discount on marked price = 10% of P = 10/100 P = P/10, and sales tax = 6% of P = 6/100 P = 3P/50

Therefore, the price paid = P – P/10 + 3P/50 = 50P – 5P + 3P/50 = 48P/50 = 24P/25

According to the problem we get, 24P/25 = $38400

P = $38400 × 25/24

    = $1600 × 25

    = $40000

Therefore, the marked price of the car is $40000.

 

3. Due to short supply in the market, a shopkeeper raises the price of a cycle by 5% above the marked price and charges a sales tax of 12 % on the marked price. A customer has to pay $ 4680 for the cycle. Find the marked price of the cycle.

Solution:

Let the marked price of a cycle be P.

Then, the raised price = P + 5% of P = P + 5P/100 = 21P/20

Sales tax = 12% of P = 12/100 P = 3/25 P

Therefore, the price payable = 21P/20 + 3P/25 = 105P + 12P/100 = 117P/100

According to the problem we get, 117P/100 = $4680

P = $4680 × 100/117

    = $4000

Therefore, the marked price of the cycle is $4000.


4. Jack buys a laptop for $ 34821 which includes 10% rebate on the listed price and then 6% sales tax on the remaining price. Find the listed price of the computer.

Solution:

Let the listed price of the laptop be $ x, rebate on the listed price = 10%

Therefore, the amount of rebate = $ (x + 10/100) = $ x/10

Therefore, cost of the laptop after rebate = $ x - $ x/10 = $ 9/10 x

Since sale tax is 6% on the remaining price,

Therefore, the amount of sales tax= $ 9/10x X 6/100 = $ 27/500 x.

Therefore, the net amount to be paid = $ 910x + $ 27/500 x

                                                   = $(9/10x + 27/500x)

According to the problem, we get,

9/10x +27/500x = 34821

Or, 477/500x = 34821

Or, x = 36500.

Therefore, the marked price of the laptop = $ 36500.

● Sales Tax and Value Added Tax





10th Grade Math

From Mark-ups and Discounts Involving Sales Tax to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. 5th Grade BODMAS Rule Worksheet | PEMDAS | Order of operations|Answers

    Apr 03, 25 03:11 PM

    5th Grade BODMAS Rule Worksheet
    In 5th Grade BODMAS Rule Worksheet you will get different types of problems on mathematical expressions involving different operations, mathematical expression with 'brackets' and 'of' and simplifying…

    Read More

  2. Worksheet on Simplification | Simplify Expressions | BODMAS Questions

    Apr 03, 25 02:58 PM

    Worksheet on Simplification
    In worksheet on simplification, the questions are based in order to simplify expressions involving more than one bracket by using the steps of removal of brackets. This exercise sheet

    Read More

  3. Divisible by 2 Video |Test of Divisibility by 2 Trick| Rules| Examples

    Apr 03, 25 10:25 AM

    Divisible by 2
    A number is divisible by 2 if the digit at unit place is either 0 or multiple of 2. So a number is divisible by 2 if digit at its units place is 0, 2, 4, 6 or 8.

    Read More

  4. BODMAS Rule | Order of Operation | Definition, Examples, Problems

    Apr 03, 25 10:22 AM

    What is BODMAS Rule in Math?
    Easy and simple way to remember BODMAS rule!! B → Brackets first (parentheses) O → Of (orders i.e. Powers and Square Roots, Cube Roots, etc.) DM → Division and Multiplication

    Read More

  5. Before and After Video | Math Worksheets on Number | Before and After

    Apr 03, 25 12:44 AM

    before and after number worksheet
    Free math worksheets on numbers before and after help the kids to check how much they are good at numbers. The purpose of this math activity is to help your child to say a number in order and also hel

    Read More