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 1 over 6 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

table row cell 100 percent sign plus 15 percent sign end cell equals cell 115 percent sign end cell row cell 115 divided by 100 end cell equals cell 1.15 end cell end table

  • Multiply it by the advertised price

£ 900 cross times 1.15 equals £ 1035

STEP 2

Subtract the deposit and the final payment

  • Find the amount of the deposit

£ 900 divided by 6 equals £ 150

  • Subtract this and the final payment

£ 1035 minus open parentheses £ 150 plus £ 125 close parentheses equals £ 760

STEP 3

Divide by 8 months

£ 760 divided by 8 equals £ 95

£95

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Dan Finlay

Author: Dan Finlay

Expertise: Maths Subject 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: Maths Content Creator

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.