Question:
Find the amount to be paid if Jennifer borrowed a sum of $5250 at 5% simple interest for 8 years.
Correct Answer
$7350
Solution And Explanation
Solution
Given,
Principal (P) = $5250
Rate of Simple Interest (SI) = 5%
Time (t) = 8 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% × 8
= $5250 ×5/100 × 8
= 5250 × 5 × 8/100
= 26250 × 8/100
= 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 = $5250 + $2100
= $7350
Thus, Amount to be paid = $7350 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) = 8 years
Thus, Amount (A)
= $5250 + ($5250 × 5% × 8)
= $5250 + ($5250 ×5/100 × 8)
= $5250 + (5250 × 5 × 8/100)
= $5250 + (26250 × 8/100)
= $5250 + (210000/100)
= $5250 + $2100 = $7350
Thus, Amount (A) to be paid = $7350 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 8 years
= Simple interest for 1 year × 8
= $262.5 × 8 = $2100
Thus, Simple Interest (SI) = $2100
Calculation of Amount
Amount = Principal + Interest
Thus, Amount = $5250 + $2100
= $7350
Thus, Amount to be paid = $7350 Answer
Similar Questions
(1) If James paid $3480 to settle his loan which he had taken 4 years before at a simple interest of 4%, then find the loan taken.
(2) Calculate the amount due after 10 years if Christopher borrowed a sum of $6000 at a rate of 8% simple interest.
(3) Christopher took a loan of $6000 at the rate of 9% simple interest per annum. If he paid an amount of $9780 to clear the loan, then find the time period of the loan.
(4) If Jessica paid $4350 to settle his loan which he had taken 4 years before at a simple interest of 4%, then find the loan taken.
(5) What amount does Christopher have to pay after 6 years if he takes a loan of $4000 at 2% simple interest?
(6) Jennifer took a loan of $4500 at the rate of 10% simple interest per annum. If he paid an amount of $9000 to clear the loan, then find the time period of the loan.
(7) Calculate the amount due if Linda borrowed a sum of $3350 at 3% simple interest for 4 years.
(8) What amount does Jessica have to pay after 6 years if he takes a loan of $3750 at 5% simple interest?
(9) What amount will be due after 2 years if Joshua borrowed a sum of $3950 at a 4% simple interest?
(10) Find the amount to be paid if Karen borrowed a sum of $5950 at 10% simple interest for 8 years.