Question:
Calculate the amount due after 9 years if Jennifer borrowed a sum of $5250 at a rate of 7% simple interest.
Correct Answer
$8557.5
Solution And Explanation
Solution
Given,
Principal (P) = $5250
Rate of Simple Interest (SI) = 7%
Time (t) = 9 years
Thus, Amount (A) = ?
The Rate of Interest is always calculated per annum, i.e. per year.
Thus, here 7% simple interest means, Rate of Simple Interest (SI) is 7% 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) = $5250 × 7% × 9
= $5250 ×7/100 × 9
= 5250 × 7 × 9/100
= 36750 × 9/100
= 330750/100
= $3307.5
Thus, Simple Interest = $3307.5
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 = $5250 + $3307.5
= $8557.5
Thus, Amount to be paid = $8557.5 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 = $5250
Rate of Simple Interest (SI) or (R) = 7%
And, Time (t) = 9 years
Thus, Amount (A)
= $5250 + ($5250 × 7% × 9)
= $5250 + ($5250 ×7/100 × 9)
= $5250 + (5250 × 7 × 9/100)
= $5250 + (36750 × 9/100)
= $5250 + (330750/100)
= $5250 + $3307.5 = $8557.5
Thus, Amount (A) to be paid = $8557.5 Answer
Method (3) Unitary Method
Calculation of Amount using Unitary Method
Calculation of Interest using Unitary Method
Here, given Rate of Simple Interest = 7%
This, means, $7 per $100 per year
∵ For $100, the simple interest for 1 year = $7
∴ For $1, the simple interest for 1 year = 7/100
∴ For $5250, the simple interest in 1 year
= 7/100 × 5250
= 7 × 5250/100
= 36750/100 = $367.5
Thus, simple interest for 1 year = $367.5
Therefore, simple interest for 9 years
= Simple interest for 1 year × 9
= $367.5 × 9 = $3307.5
Thus, Simple Interest (SI) = $3307.5
Calculation of Amount
Amount = Principal + Interest
Thus, Amount = $5250 + $3307.5
= $8557.5
Thus, Amount to be paid = $8557.5 Answer
Similar Questions
(1) Calculate the amount due if Karen borrowed a sum of $3950 at 2% simple interest for 3 years.
(2) What amount does Mary have to pay after 6 years if he takes a loan of $3050 at 5% simple interest?
(3) Linda took a loan of $4700 at the rate of 10% simple interest per annum. If he paid an amount of $7990 to clear the loan, then find the time period of the loan.
(4) Mary took a loan of $4100 at the rate of 8% simple interest per annum. If he paid an amount of $6724 to clear the loan, then find the time period of the loan.
(5) Calculate the amount due if Barbara borrowed a sum of $3550 at 9% simple interest for 4 years.
(6) Find the amount to be paid if Thomas borrowed a sum of $5800 at 6% simple interest for 8 years.
(7) Lisa took a loan of $6100 at the rate of 6% simple interest per annum. If he paid an amount of $9394 to clear the loan, then find the time period of the loan.
(8) Calculate the amount due after 9 years if Susan borrowed a sum of $5650 at a rate of 4% simple interest.
(9) Christopher took a loan of $6000 at the rate of 9% simple interest per annum. If he paid an amount of $9240 to clear the loan, then find the time period of the loan.
(10) What amount will be due after 2 years if Daniel borrowed a sum of $3550 at a 5% simple interest?