Question:
Calculate the amount due after 9 years if Michael borrowed a sum of $5300 at a rate of 4% simple interest.
Correct Answer
$7208
Solution And Explanation
Solution
Given,
Principal (P) = $5300
Rate of Simple Interest (SI) = 4%
Time (t) = 9 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) = $5300 × 4% × 9
= $5300 ×4/100 × 9
= 5300 × 4 × 9/100
= 21200 × 9/100
= 190800/100
= $1908
Thus, Simple Interest = $1908
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 + $1908
= $7208
Thus, Amount to be paid = $7208 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) = 4%
And, Time (t) = 9 years
Thus, Amount (A)
= $5300 + ($5300 × 4% × 9)
= $5300 + ($5300 ×4/100 × 9)
= $5300 + (5300 × 4 × 9/100)
= $5300 + (21200 × 9/100)
= $5300 + (190800/100)
= $5300 + $1908 = $7208
Thus, Amount (A) to be paid = $7208 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 $5300, the simple interest in 1 year
= 4/100 × 5300
= 4 × 5300/100
= 21200/100 = $212
Thus, simple interest for 1 year = $212
Therefore, simple interest for 9 years
= Simple interest for 1 year × 9
= $212 × 9 = $1908
Thus, Simple Interest (SI) = $1908
Calculation of Amount
Amount = Principal + Interest
Thus, Amount = $5300 + $1908
= $7208
Thus, Amount to be paid = $7208 Answer
Similar Questions
(1) Susan took a loan of $5300 at the rate of 8% simple interest per annum. If he paid an amount of $8692 to clear the loan, then find the time period of the loan.
(2) Calculate the amount due if Thomas borrowed a sum of $3800 at 2% simple interest for 4 years.
(3) What amount does Joseph have to pay after 6 years if he takes a loan of $3700 at 5% simple interest?
(4) In how much time a principal of $3050 will amount to $3507.5 at a simple interest of 5% per annum?
(5) Calculate the amount due if John borrowed a sum of $3200 at 5% simple interest for 3 years.
(6) Calculate the amount due if Michael borrowed a sum of $3300 at 4% simple interest for 4 years.
(7) What amount does Michael have to pay after 6 years if he takes a loan of $3300 at 2% simple interest?
(8) If Barbara borrowed $3550 from a bank at a rate of 2% simple interest per annum then find the amount to be paid after 2 years.
(9) Elizabeth took a loan of $4900 at the rate of 10% simple interest per annum. If he paid an amount of $8330 to clear the loan, then find the time period of the loan.
(10) Calculate the amount due if Karen borrowed a sum of $3950 at 8% simple interest for 3 years.