Question:
What amount does Christopher have to pay after 6 years if he takes a loan of $4000 at 2% simple interest?
Correct Answer
$4480
Solution And Explanation
Solution
Given,
Principal (P) = $4000
Rate of Simple Interest (SI) = 2%
Time (t) = 6 years
Thus, Amount (A) = ?
The Rate of Interest is always calculated per annum, i.e. per year.
Thus, here 2% simple interest means, Rate of Simple Interest (SI) is 2% 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) = $4000 × 2% × 6
= $4000 ×2/100 × 6
= 4000 × 2 × 6/100
= 8000 × 6/100
= 48000/100
= $480
Thus, Simple Interest = $480
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 = $4000 + $480
= $4480
Thus, Amount to be paid = $4480 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 = $4000
Rate of Simple Interest (SI) or (R) = 2%
And, Time (t) = 6 years
Thus, Amount (A)
= $4000 + ($4000 × 2% × 6)
= $4000 + ($4000 ×2/100 × 6)
= $4000 + (4000 × 2 × 6/100)
= $4000 + (8000 × 6/100)
= $4000 + (48000/100)
= $4000 + $480 = $4480
Thus, Amount (A) to be paid = $4480 Answer
Method (3) Unitary Method
Calculation of Amount using Unitary Method
Calculation of Interest using Unitary Method
Here, given Rate of Simple Interest = 2%
This, means, $2 per $100 per year
∵ For $100, the simple interest for 1 year = $2
∴ For $1, the simple interest for 1 year = 2/100
∴ For $4000, the simple interest in 1 year
= 2/100 × 4000
= 2 × 4000/100
= 8000/100 = $80
Thus, simple interest for 1 year = $80
Therefore, simple interest for 6 years
= Simple interest for 1 year × 6
= $80 × 6 = $480
Thus, Simple Interest (SI) = $480
Calculation of Amount
Amount = Principal + Interest
Thus, Amount = $4000 + $480
= $4480
Thus, Amount to be paid = $4480 Answer
Similar Questions
(1) Daniel took a loan of $6200 at the rate of 8% simple interest per annum. If he paid an amount of $9672 to clear the loan, then find the time period of the loan.
(2) In how much time a principal of $3000 will amount to $3450 at a simple interest of 5% per annum?
(3) Sandra took a loan of $6900 at the rate of 6% simple interest per annum. If he paid an amount of $10212 to clear the loan, then find the time period of the loan.
(4) If Betty paid $4760 to settle his loan which he had taken 4 years before at a simple interest of 3%, then find the loan taken.
(5) If Andrew paid $5184 to settle his loan which he had taken 4 years before at a simple interest of 2%, then find the loan taken.
(6) If Daniel paid $4592 to settle his loan which he had taken 4 years before at a simple interest of 3%, then find the loan taken.
(7) Find the amount to be paid if William borrowed a sum of $5500 at 6% simple interest for 8 years.
(8) Nancy took a loan of $6300 at the rate of 7% simple interest per annum. If he paid an amount of $9387 to clear the loan, then find the time period of the loan.
(9) Calculate the amount due after 10 years if Linda borrowed a sum of $5350 at a rate of 10% simple interest.
(10) Calculate the amount due if Michael borrowed a sum of $3300 at 2% simple interest for 3 years.