(a) 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
(a) 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
(a) (i) To calculate the amount of each installment, we first need to find out the amount after the deposit. The deposit is 30% of 14,850. So, the outstanding balance is 14,850 = 34,650 * 12/100 * 3 = 34,650 + 47,124. If this is to be paid in 3 years, the amount of each installment is 15,708.
(ii) The hire purchase price of the car is the deposit plus the total amount to be paid, which is 47,124 = $61,974.
(b) (i) The total amount to be repaid to the bank is the borrowed amount plus the interest. The interest on 49,500 * 11/100 * 3 = 49,500 + 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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