Knowee
Questions
Features
Study Tools

The marked price of a car is $49 500. A person can pay a deposit of 30% and simpleinterest at 12% per annum is charged on the outstanding balance. The total amountpayable is to be paid years.Calculate:(i) The amount of each instalment(ii) The hire purchase price of the car.(b) The total amount of $49 500 borrowed from the bank at 11% per annum for a periodof 3 years.Calculate:(i) The total amount to be repaid to the bank(ii) The amount of each monthly instalment

Question

The marked price of a car is 49500.Apersoncanpayadepositof3049 500. A person can pay a deposit of 30% and simpleinterest at 12% per annum is charged on the outstanding balance. The total amountpayable is to be paid years.Calculate:(i) The amount of each instalment(ii) The hire purchase price of the car.(b) The total amount of 49 500 borrowed from the bank at 11% per annum for a periodof 3 years.Calculate:(i) The total amount to be repaid to the bank(ii) The amount of each monthly instalment

...expand
🧐 Not the exact question you are looking for?Go ask a question

Solution

(i) To calculate the amount of each installment, we first need to determine the deposit and the outstanding balance. The deposit is 30% of 49,500,whichis49,500, which is 14,850. The outstanding balance is the marked price minus the deposit, which is 49,50049,500 - 14,850 = $34,650.

The simple interest charged on the outstanding balance is 12% per annum. If the total amount is to be paid in 3 years, the total interest over 3 years is 34,6501234,650 * 12% * 3 = 12,474.

The total amount payable is the outstanding balance plus the total interest, which is 34,650+34,650 + 12,474 = 47,124.Ifthisamountistobepaidinequalinstallmentsover3years,theamountofeachinstallmentis47,124. If this amount is to be paid in equal installments over 3 years, the amount of each installment is 47,124 / (3*12) = $1,309.

(ii) The hire purchase price of the car is the deposit plus the total amount payable, which is 14,850+14,850 + 47,124 = $61,974.

(b) If the total amount of $49,500 is borrowed from the bank at 11% per annum for a period of 3 years,

(i) The total amount to be repaid to the bank is the principal plus the interest, which is 49,500+49,500 + 49,500 * 11% * 3 = 49,500+49,500 + 16,335 = $65,835.

(ii) The amount of each monthly installment is the total amount to be repaid divided by the number of months, which is 65,835/(312)=65,835 / (3*12) = 1,828.75.

This problem has been solved

Similar Questions

A car is available for 4,98,200 cash payment or 60,000 cash down payment followed by three equal annual instalments. If the rate of interest charged 14% per annum compounded yearly, then total interest charged in the instalment plan is (Given P(2,0.14) 2.32163): a. 21,46,314 C. 1,28,040 b. 1,46,137 d. 1,58,040

Samar leased a car worth Rs 1,547,000 with a down payment of 50%. If the rate of simple interest onthe remaining amount is 7% per annum for a period of 2 years, find thea. total interest Samar pays in 2 years. (2 Marks)b. total cost of the car.

Will has started work but needs a car to travel from home. He uses a financecompany loan to buy a $12,000 used electric car. The loan has a term of fiveyears, with an interest rate of 9.5%. The monthly repayments are $252.a. Work out the total cost of the car over five years.b. Calculate the total amount Will will pay in interest over the five year termof the loan.c. Use the Sorted.org debt calculator to explore how much money Will couldsave if he increases the monthly payment to $282.

Jackson decided to take out a car loan for the next three years. The car is selling at $39,000 with a down payment of $12,000. The car dealership provides Jackson with the option of repaying the loan in equal instalments at the end of each month, at an interest rate of 22% p.a. compounding monthly. Calculate the amount of money Jackson needs to pay each month and round your answer to 2 decimal places.

(a) $855 simple interest was paid when $4500 was invested at 4.75% per annum.Determine the period of investment.(b) Mrs. Woods borrowed a sum of money from a bank at 12.5% per annum for 6 yearsand paid $6375 simple interest. Calculate the sum of money mrs. Wood borrowedfrom the bank.(c) The simple interest on $15 000 for years is $4950. Calculate the rate percent perannum.

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.