Borrowing & Payment Plans (SQA National 5 Applications of Mathematics): Revision Note

Exam code: X844 75

Dan Finlay

Written by: Dan Finlay

Reviewed by: Roger B

Updated on

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?

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 16 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

100%+15%=115%115÷100=1.15

  • Multiply it by the advertised price

£900×1.15=£1035

STEP 2

Subtract the deposit and the final payment

  • Find the amount of the deposit

£900÷6=£150

  • Subtract this and the final payment

£1035(£150+£125)=£760

STEP 3

Divide by 8 months

£760÷8=£95

£95

Unlock more, it's free!

Join the 100,000+ Students that ❤️ Save My Exams

the (exam) results speak for themselves:

Dan Finlay

Author: Dan Finlay

Expertise: Portfolio Lead

Dan graduated from the University of Oxford with a First class degree in mathematics. As well as teaching maths for over 8 years, Dan has marked a range of exams for Edexcel, tutored students and taught A Level Accounting. Dan has a keen interest in statistics and probability and their real-life applications.

Roger B

Reviewer: Roger B

Expertise: Development Editor

Roger's teaching experience stretches all the way back to 1992, and in that time he has taught students at all levels between Year 7 and university undergraduate. Having conducted and published postgraduate research into the mathematical theory behind quantum computing, he is more than confident in dealing with mathematics at any level the exam boards might throw at you.