Question:
Find the amount to be paid if Jennifer borrowed a sum of $5250 at 5% simple interest for 7 years.
Correct Answer
$7087.5
Solution And Explanation
Solution
Given,
Principal (P) = $5250
Rate of Simple Interest (SI) = 5%
Time (t) = 7 years
Thus, Amount (A) = ?
The Rate of Interest is always calculated per annum, i.e. per year.
Thus, here 5% simple interest means, Rate of Simple Interest (SI) is 5% 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 × 5% × 7
= $5250 ×5/100 × 7
= 5250 × 5 × 7/100
= 26250 × 7/100
= 183750/100
= $1837.5
Thus, Simple Interest = $1837.5
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 + $1837.5
= $7087.5
Thus, Amount to be paid = $7087.5 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) = 5%
And, Time (t) = 7 years
Thus, Amount (A)
= $5250 + ($5250 × 5% × 7)
= $5250 + ($5250 ×5/100 × 7)
= $5250 + (5250 × 5 × 7/100)
= $5250 + (26250 × 7/100)
= $5250 + (183750/100)
= $5250 + $1837.5 = $7087.5
Thus, Amount (A) to be paid = $7087.5 Answer
Method (3) Unitary Method
Calculation of Amount using Unitary Method
Calculation of Interest using Unitary Method
Here, given Rate of Simple Interest = 5%
This, means, $5 per $100 per year
∵ For $100, the simple interest for 1 year = $5
∴ For $1, the simple interest for 1 year = 5/100
∴ For $5250, the simple interest in 1 year
= 5/100 × 5250
= 5 × 5250/100
= 26250/100 = $262.5
Thus, simple interest for 1 year = $262.5
Therefore, simple interest for 7 years
= Simple interest for 1 year × 7
= $262.5 × 7 = $1837.5
Thus, Simple Interest (SI) = $1837.5
Calculation of Amount
Amount = Principal + Interest
Thus, Amount = $5250 + $1837.5
= $7087.5
Thus, Amount to be paid = $7087.5 Answer
Similar Questions
(1) Linda took a loan of $4700 at the rate of 8% simple interest per annum. If he paid an amount of $7332 to clear the loan, then find the time period of the loan.
(2) Calculate the amount due if Michael borrowed a sum of $3300 at 2% simple interest for 3 years.
(3) In how much time a principal of $3100 will amount to $3379 at a simple interest of 3% per annum?
(4) What amount will be due after 2 years if Richard borrowed a sum of $3300 at a 9% simple interest?
(5) Calculate the amount due after 9 years if Sarah borrowed a sum of $5850 at a rate of 9% simple interest.
(6) Jessica took a loan of $5500 at the rate of 6% simple interest per annum. If he paid an amount of $7810 to clear the loan, then find the time period of the loan.
(7) What amount does William have to pay after 6 years if he takes a loan of $3500 at 5% simple interest?
(8) Find the amount to be paid if Karen borrowed a sum of $5950 at 3% simple interest for 8 years.
(9) If Karen paid $4582 to settle his loan which he had taken 4 years before at a simple interest of 4%, then find the loan taken.
(10) Calculate the amount due after 10 years if Christopher borrowed a sum of $6000 at a rate of 10% simple interest.