Borrowing & Payment Plans (SQA National 5 Applications of Mathematics): Revision Note
Exam code: X844 75
Borrowing & payment plans
What are different forms of borrowing?
You can borrow money by:
taking out a loan
using credit cards or store cards
using credit agreements
You will need to pay interest on the amount you borrow
What is a payment plan?
You can pay for a product or repay borrowing using a payment plan
A payment plan can include:
A deposit paid upfront
Monthly instalments of equal amounts
A final payment of a fixed amount
How do I calculate the total price of a payment plan?
You might be told the fixed amount of interest in the question
Add this to the amount borrowed
You might be told that the payment plan is a certain percentage more than the advertised price
Increase the advertised price by the percentage
How do I calculate the cost of each monthly instalment of a payment plan?
STEP 1
Calculate the total price of the payment planThis usually involves increasing an amount by a percentage
STEP 2
Subtract the deposit and final payment (if applicable)This usually involves finding a fraction of an amount
STEP 3
Divide the remaining amount by the number of months
Worked Example
Paul is buying a new snooker table with an advertised price of £900.
He decides to use a payment plan to buy the snooker table. The total cost of the payment plan is 15% more than the advertised price.
The payments are calculated as follows:
deposit of
of the advertised price
8 equal monthly instalments
final payment of £125
Calculate the monthly instalment.
Answer:
STEP 1
Find the total price of the payment plan by increasing the advertised price by 15%
Find the multiplier
Multiply it by the advertised price
STEP 2
Subtract the deposit and the final payment
Find the amount of the deposit
Subtract this and the final payment
STEP 3
Divide by 8 months
£95
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