Question:
Calculate the amount due after 10 years if Michael borrowed a sum of $5300 at a rate of 3% simple interest.
Correct Answer
$6890
Solution And Explanation
Solution
Given,
Principal (P) = $5300
Rate of Simple Interest (SI) = 3%
Time (t) = 10 years
Thus, Amount (A) = ?
The Rate of Interest is always calculated per annum, i.e. per year.
Thus, here 3% simple interest means, Rate of Simple Interest (SI) is 3% 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) = $5300 × 3% × 10
= $5300 ×3/100 × 10
= 5300 × 3 × 10/100
= 15900 × 10/100
= 159000/100
= $1590
Thus, Simple Interest = $1590
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 = $5300 + $1590
= $6890
Thus, Amount to be paid = $6890 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 = $5300
Rate of Simple Interest (SI) or (R) = 3%
And, Time (t) = 10 years
Thus, Amount (A)
= $5300 + ($5300 × 3% × 10)
= $5300 + ($5300 ×3/100 × 10)
= $5300 + (5300 × 3 × 10/100)
= $5300 + (15900 × 10/100)
= $5300 + (159000/100)
= $5300 + $1590 = $6890
Thus, Amount (A) to be paid = $6890 Answer
Method (3) Unitary Method
Calculation of Amount using Unitary Method
Calculation of Interest using Unitary Method
Here, given Rate of Simple Interest = 3%
This, means, $3 per $100 per year
∵ For $100, the simple interest for 1 year = $3
∴ For $1, the simple interest for 1 year = 3/100
∴ For $5300, the simple interest in 1 year
= 3/100 × 5300
= 3 × 5300/100
= 15900/100 = $159
Thus, simple interest for 1 year = $159
Therefore, simple interest for 10 years
= Simple interest for 1 year × 10
= $159 × 10 = $1590
Thus, Simple Interest (SI) = $1590
Calculation of Amount
Amount = Principal + Interest
Thus, Amount = $5300 + $1590
= $6890
Thus, Amount to be paid = $6890 Answer
Similar Questions
(1) Find the amount to be paid if James borrowed a sum of $5000 at 9% simple interest for 7 years.
(2) Calculate the amount due after 10 years if Thomas borrowed a sum of $5800 at a rate of 2% simple interest.
(3) What amount does Christopher have to pay after 6 years if he takes a loan of $4000 at 10% simple interest?
(4) How much loan did Rebecca borrow 5 years ago at a rate of simple interest 3% per annum, if he paid $8797.5 to clear it?
(5) Calculate the amount due after 9 years if John borrowed a sum of $5200 at a rate of 5% simple interest.
(6) Calculate the amount due if Richard borrowed a sum of $3600 at 6% simple interest for 3 years.
(7) Calculate the amount due after 9 years if Jennifer borrowed a sum of $5250 at a rate of 10% simple interest.
(8) Calculate the amount due after 9 years if Susan borrowed a sum of $5650 at a rate of 10% simple interest.
(9) Find the amount to be paid if James borrowed a sum of $5000 at 9% simple interest for 8 years.
(10) Sandra took a loan of $6900 at the rate of 7% simple interest per annum. If he paid an amount of $11247 to clear the loan, then find the time period of the loan.