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 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
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 14,850. The outstanding balance is the marked price minus the deposit, which is 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 12,474.
The total amount payable is the outstanding balance plus the total interest, which is 12,474 = 47,124 / (3*12) = $1,309.
(ii) The hire purchase price of the car is the deposit plus the total amount payable, which is 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 * 11% * 3 = 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 1,828.75.
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