Question:
What amount does Richard have to pay after 6 years if he takes a loan of $3600 at 4% simple interest?
Correct Answer
$4464
Solution And Explanation
Solution
Given,
Principal (P) = $3600
Rate of Simple Interest (SI) = 4%
Time (t) = 6 years
Thus, Amount (A) = ?
The Rate of Interest is always calculated per annum, i.e. per year.
Thus, here 4% simple interest means, Rate of Simple Interest (SI) is 4% 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) = $3600 × 4% × 6
= $3600 ×4/100 × 6
= 3600 × 4 × 6/100
= 14400 × 6/100
= 86400/100
= $864
Thus, Simple Interest = $864
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 = $3600 + $864
= $4464
Thus, Amount to be paid = $4464 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 = $3600
Rate of Simple Interest (SI) or (R) = 4%
And, Time (t) = 6 years
Thus, Amount (A)
= $3600 + ($3600 × 4% × 6)
= $3600 + ($3600 ×4/100 × 6)
= $3600 + (3600 × 4 × 6/100)
= $3600 + (14400 × 6/100)
= $3600 + (86400/100)
= $3600 + $864 = $4464
Thus, Amount (A) to be paid = $4464 Answer
Method (3) Unitary Method
Calculation of Amount using Unitary Method
Calculation of Interest using Unitary Method
Here, given Rate of Simple Interest = 4%
This, means, $4 per $100 per year
∵ For $100, the simple interest for 1 year = $4
∴ For $1, the simple interest for 1 year = 4/100
∴ For $3600, the simple interest in 1 year
= 4/100 × 3600
= 4 × 3600/100
= 14400/100 = $144
Thus, simple interest for 1 year = $144
Therefore, simple interest for 6 years
= Simple interest for 1 year × 6
= $144 × 6 = $864
Thus, Simple Interest (SI) = $864
Calculation of Amount
Amount = Principal + Interest
Thus, Amount = $3600 + $864
= $4464
Thus, Amount to be paid = $4464 Answer
Similar Questions
(1) Calculate the amount due after 9 years if Patricia borrowed a sum of $5150 at a rate of 6% simple interest.
(2) Find the amount to be paid if James borrowed a sum of $5000 at 9% simple interest for 8 years.
(3) Find the amount to be paid if James borrowed a sum of $5000 at 10% simple interest for 8 years.
(4) How much loan did Paul borrow 5 years ago at a rate of simple interest 5% per annum, if he paid $8375 to clear it?
(5) Calculate the amount due after 10 years if Karen borrowed a sum of $5950 at a rate of 9% simple interest.
(6) Christopher took a loan of $6000 at the rate of 10% simple interest per annum. If he paid an amount of $10200 to clear the loan, then find the time period of the loan.
(7) Calculate the amount due if Elizabeth borrowed a sum of $3450 at 2% simple interest for 4 years.
(8) Barbara took a loan of $5100 at the rate of 10% simple interest per annum. If he paid an amount of $9690 to clear the loan, then find the time period of the loan.
(9) Daniel took a loan of $6200 at the rate of 7% simple interest per annum. If he paid an amount of $9238 to clear the loan, then find the time period of the loan.
(10) Calculate the amount due after 10 years if Charles borrowed a sum of $5900 at a rate of 5% simple interest.