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Please provide solutions for the following loan problems: 1. Calculate the total repayment amount for borrowing R 3000 over 24 months. 2. Determine the ratio of monthly installments for R2000 over 12
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2 partsStep-by-step solution
5 stepsHere are the solutions to the loan problems:
Calculate the total repayment amount for borrowing R 3000 when repaying it over 24 months.
Step 1: Identify the monthly instalment from the table.
For a loan amount of R 3000 over 24 months, the monthly instalment is R 230.
Step 2: Calculate the total repayment amount.
Total repayment = Monthly instalment Number of months
The total repayment amount is R 5520.
Determine the ratio in its simplest form, of A to B, the monthly instalment for borrowing R2 000.
Step 1: Identify the values for A and B from the table.
For a loan amount of R 2000:
A (12 months instalment) = R 285
B (24 months instalment) = R 190
Step 2: Write the ratio A to B.
Step 3: Simplify the ratio by dividing both numbers by their greatest common divisor.
Both numbers are divisible by 5:
The ratio becomes .
Both numbers are divisible by 19:
The ratio in its simplest form is 3 : 2.
A customer borrowed R4 000 and plans to pay it in equal monthly instalments for 3 years. The customer was charged 30% pa. simple interest.
Part a· 2 steps
Calculate the interest on the loan for 3 years.
Identify the given values.
Principal () = R 4000
Interest rate () = 30% p.a. = 0.30
Number of years () = 3 yearsUse the simple interest formula .
The interest on the loan is R 3600.
Part b
Hence, determine the monthly instalment (C) for the total amount that must be paid back.
Calculate the total amount to be paid back.
Total amount = Principal + Interest
Calculate the total number of months for repayment.
Number of months = Number of years 12 months/year
Calculate the monthly instalment (C).
Monthly instalment (C) = Total amount / Number of months
Rounding to two decimal places for currency:
The monthly instalment (C) is approximately R 211.11.
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