Question:
Calculate the amount due if John borrowed a sum of $3200 at 6% simple interest for 4 years.
Correct Answer
$3968
Solution And Explanation
Solution
Given,
Principal (P) = $3200
Rate of Simple Interest (SI) = 6%
Time (t) = 4 years
Thus, Amount (A) = ?
The Rate of Interest is always calculated per annum, i.e. per year.
Thus, here 6% simple interest means, Rate of Simple Interest (SI) is 6% per annum.
Method (1) Using Formula
Calculation of Simple Interest
Formula to Calculate Simple Interest
Simple Interest (SI) = Principal × Rate × Time
Thus, Simple Interest (SI) = $3200 × 6% × 4
= $3200 ×6/100 × 4
= 3200 × 6 × 4/100
= 19200 × 4/100
= 76800/100
= $768
Thus, Simple Interest = $768
Calculation of Amount
The total money paid to the lender by a borrower is called the Amount.
In other words, sum of priciple and interest is called the Amount.
Formula to Calculate the Amount
Amount = Principal + Interest
Thus, Amount = $3200 + $768
= $3968
Thus, Amount to be paid = $3968 Answer
Method (2)
Calculation of Amount when Principal, Rate of Simple Interest and Time are given
Calculation of Amount directly using Principal, SI, and Time
Formula to calculate the Amount
Amount (A) = Principal (P) + Principal(P) × Rate of Interest (SI) × Time (t)
⇒ A = P + PRT
Here in the question, P = $3200
Rate of Simple Interest (SI) or (R) = 6%
And, Time (t) = 4 years
Thus, Amount (A)
= $3200 + ($3200 × 6% × 4)
= $3200 + ($3200 ×6/100 × 4)
= $3200 + (3200 × 6 × 4/100)
= $3200 + (19200 × 4/100)
= $3200 + (76800/100)
= $3200 + $768 = $3968
Thus, Amount (A) to be paid = $3968 Answer
Method (3) Unitary Method
Calculation of Amount using Unitary Method
Calculation of Interest using Unitary Method
Here, given Rate of Simple Interest = 6%
This, means, $6 per $100 per year
∵ For $100, the simple interest for 1 year = $6
∴ For $1, the simple interest for 1 year = 6/100
∴ For $3200, the simple interest in 1 year
= 6/100 × 3200
= 6 × 3200/100
= 19200/100 = $192
Thus, simple interest for 1 year = $192
Therefore, simple interest for 4 years
= Simple interest for 1 year × 4
= $192 × 4 = $768
Thus, Simple Interest (SI) = $768
Calculation of Amount
Amount = Principal + Interest
Thus, Amount = $3200 + $768
= $3968
Thus, Amount to be paid = $3968 Answer
Similar Questions
(1) What amount does John have to pay after 5 years if he takes a loan of $3200 at 5% simple interest?
(2) How much loan did Sandra borrow 5 years ago at a rate of simple interest 2% per annum, if he paid $7095 to clear it?
(3) Calculate the amount due if James borrowed a sum of $3000 at 8% simple interest for 3 years.
(4) John took a loan of $4400 at the rate of 8% simple interest per annum. If he paid an amount of $6512 to clear the loan, then find the time period of the loan.
(5) Calculate the amount due after 9 years if David borrowed a sum of $5400 at a rate of 3% simple interest.
(6) Calculate the amount due after 10 years if Charles borrowed a sum of $5900 at a rate of 10% simple interest.
(7) Find the amount to be paid if Richard borrowed a sum of $5600 at 10% simple interest for 7 years.
(8) What amount does Elizabeth have to pay after 6 years if he takes a loan of $3450 at 2% simple interest?
(9) Jennifer had to pay $3640 in order to furnish the loan taken 3 years before. If the rate of simple interest was 4% then find the sum borrowed.
(10) How much loan did Brian borrow 5 years ago at a rate of simple interest 5% per annum, if he paid $9000 to clear it?