Question:
Find the amount to be paid if David borrowed a sum of $5400 at 4% simple interest for 7 years.
Correct Answer
$6912
Solution And Explanation
Solution
Given,
Principal (P) = $5400
Rate of Simple Interest (SI) = 4%
Time (t) = 7 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) = $5400 × 4% × 7
= $5400 ×4/100 × 7
= 5400 × 4 × 7/100
= 21600 × 7/100
= 151200/100
= $1512
Thus, Simple Interest = $1512
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 = $5400 + $1512
= $6912
Thus, Amount to be paid = $6912 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 = $5400
Rate of Simple Interest (SI) or (R) = 4%
And, Time (t) = 7 years
Thus, Amount (A)
= $5400 + ($5400 × 4% × 7)
= $5400 + ($5400 ×4/100 × 7)
= $5400 + (5400 × 4 × 7/100)
= $5400 + (21600 × 7/100)
= $5400 + (151200/100)
= $5400 + $1512 = $6912
Thus, Amount (A) to be paid = $6912 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 $5400, the simple interest in 1 year
= 4/100 × 5400
= 4 × 5400/100
= 21600/100 = $216
Thus, simple interest for 1 year = $216
Therefore, simple interest for 7 years
= Simple interest for 1 year × 7
= $216 × 7 = $1512
Thus, Simple Interest (SI) = $1512
Calculation of Amount
Amount = Principal + Interest
Thus, Amount = $5400 + $1512
= $6912
Thus, Amount to be paid = $6912 Answer
Similar Questions
(1) Calculate the amount due if Patricia borrowed a sum of $3150 at 5% simple interest for 4 years.
(2) If Joshua paid $5880 to settle his loan which he had taken 4 years before at a simple interest of 5%, then find the loan taken.
(3) Charles took a loan of $5800 at the rate of 6% simple interest per annum. If he paid an amount of $8932 to clear the loan, then find the time period of the loan.
(4) What amount does Karen have to pay after 6 years if he takes a loan of $3950 at 9% simple interest?
(5) Calculate the amount due after 9 years if William borrowed a sum of $5500 at a rate of 10% simple interest.
(6) Robert took a loan of $4200 at the rate of 7% simple interest per annum. If he paid an amount of $7140 to clear the loan, then find the time period of the loan.
(7) Calculate the amount due if Richard borrowed a sum of $3600 at 9% simple interest for 4 years.
(8) What amount does Michael have to pay after 6 years if he takes a loan of $3300 at 7% simple interest?
(9) What amount will be due after 2 years if John borrowed a sum of $3100 at a 6% simple interest?
(10) Thomas had to pay $4256 in order to furnish the loan taken 3 years before. If the rate of simple interest was 4% then find the sum borrowed.