Question:
Find the amount to be paid if James borrowed a sum of $5000 at 6% simple interest for 7 years.
Correct Answer
$7100
Solution And Explanation
Solution
Given,
Principal (P) = $5000
Rate of Simple Interest (SI) = 6%
Time (t) = 7 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) = $5000 × 6% × 7
= $5000 ×6/100 × 7
= 5000 × 6 × 7/100
= 30000 × 7/100
= 210000/100
= $2100
Thus, Simple Interest = $2100
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 = $5000 + $2100
= $7100
Thus, Amount to be paid = $7100 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 = $5000
Rate of Simple Interest (SI) or (R) = 6%
And, Time (t) = 7 years
Thus, Amount (A)
= $5000 + ($5000 × 6% × 7)
= $5000 + ($5000 ×6/100 × 7)
= $5000 + (5000 × 6 × 7/100)
= $5000 + (30000 × 7/100)
= $5000 + (210000/100)
= $5000 + $2100 = $7100
Thus, Amount (A) to be paid = $7100 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 $5000, the simple interest in 1 year
= 6/100 × 5000
= 6 × 5000/100
= 30000/100 = $300
Thus, simple interest for 1 year = $300
Therefore, simple interest for 7 years
= Simple interest for 1 year × 7
= $300 × 7 = $2100
Thus, Simple Interest (SI) = $2100
Calculation of Amount
Amount = Principal + Interest
Thus, Amount = $5000 + $2100
= $7100
Thus, Amount to be paid = $7100 Answer
Similar Questions
(1) Find the amount to be paid if Jennifer borrowed a sum of $5250 at 4% simple interest for 7 years.
(2) John took a loan of $4400 at the rate of 7% simple interest per annum. If he paid an amount of $7172 to clear the loan, then find the time period of the loan.
(3) Calculate the amount due after 9 years if Thomas borrowed a sum of $5800 at a rate of 6% simple interest.
(4) Calculate the amount due if Thomas borrowed a sum of $3800 at 2% simple interest for 4 years.
(5) Linda took a loan of $4700 at the rate of 8% simple interest per annum. If he paid an amount of $7708 to clear the loan, then find the time period of the loan.
(6) If Steven paid $5336 to settle his loan which he had taken 4 years before at a simple interest of 4%, then find the loan taken.
(7) If Nancy paid $4482 to settle his loan which he had taken 4 years before at a simple interest of 2%, then find the loan taken.
(8) Calculate the amount due after 9 years if Patricia borrowed a sum of $5150 at a rate of 8% simple interest.
(9) Calculate the amount due if Jennifer borrowed a sum of $3250 at 6% simple interest for 4 years.
(10) Find the amount to be paid if Patricia borrowed a sum of $5150 at 6% simple interest for 8 years.