How to solve problems related to marked price, selling price and discount.
The situations described in this topic are from the point of view of the customer. Whenever you buy something at a discounted price, the following formula applies:
selling price = marked price - discount
Several problem types based on this formula are discussed in the examples below.
quality pen that normally costs $20 is being sold for only $12.
Given: marked price = $20, selling price = $12
discount% = -------- × 100% = 40%
usual price for an adult movie ticket at Big Screen Cinemas is $18.
Calculate the cash value of the discount, and the cost of the tickets on Tuesdays.
Given: marked price = $18,
discount = 15% of marked price
= -------- × $18
So: (selling price) = (marked price) - discount
= $18 - $2.70
On Tuesdays, the tickets cost $15.30
A music store has reduced all stock by 25%. A customer who purchased a CD from this store paid $24. What is the usual price of this CD, and what is the cash discount.
Given: selling price = $24,
discount = 25% of the marked price
but: (marked price) = (selling price) + discount
Expressing each of these quantities as percentages of the marked price, we have:
marked price selling price discount
(100% of the marked price) = (x% of the marked price) + (25% of the marked price)
So the selling price must be: (100-25 = 75)% of the marked price, ie:
selling price = -------- × (marked price)
marked price = -------- × (selling price)
= -------- × 24
The CD usually costs $32, and the cash discount is: (32-24) = $8.00
Maths Helper Plus can solve many
kinds of discount problems. It will do calculations showing the working steps,
as well as display a labelled diagram.
Step 2 Display the parameters box
Press the F5 key to display the parameters box:
You enter the given information into these edit boxes as follows:
edit box 'A' = marked price
edit box 'B' = discount
You can enter the discount as a dollar value, or as a percentage of the marked price.
If the discount is in dollars, then set edit box 'X' to 0.
If the discount is a percentage of the marked price, set 'X' to 1.
edit box 'C' = selling price
Set any two of A, B and C to the values you are given.
Set the unknown value to zero.
Out of the three edit boxes A, B and C, two will not be zero, and one will be zero.
NOTE: In the picture of the parameters box above, A=80, B=20, and C=0. This means we are solving the problem type where the marked price and discount are given, and we are calculating the selling price. Because 'X' is set to zero, the discount is $20, not 20%.
Click the 'Update' button to refresh the diagram and calculations.