Question:
What amount does Thomas have to pay after 6 years if he takes a loan of $3800 at 8% simple interest?
Correct Answer
$5624
Solution And Explanation
Solution
Given,
Principal (P) = $3800
Rate of Simple Interest (SI) = 8%
Time (t) = 6 years
Thus, Amount (A) = ?
The Rate of Interest is always calculated per annum, i.e. per year.
Thus, here 8% simple interest means, Rate of Simple Interest (SI) is 8% 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) = $3800 × 8% × 6
= $3800 ×8/100 × 6
= 3800 × 8 × 6/100
= 30400 × 6/100
= 182400/100
= $1824
Thus, Simple Interest = $1824
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 = $3800 + $1824
= $5624
Thus, Amount to be paid = $5624 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 = $3800
Rate of Simple Interest (SI) or (R) = 8%
And, Time (t) = 6 years
Thus, Amount (A)
= $3800 + ($3800 × 8% × 6)
= $3800 + ($3800 ×8/100 × 6)
= $3800 + (3800 × 8 × 6/100)
= $3800 + (30400 × 6/100)
= $3800 + (182400/100)
= $3800 + $1824 = $5624
Thus, Amount (A) to be paid = $5624 Answer
Method (3) Unitary Method
Calculation of Amount using Unitary Method
Calculation of Interest using Unitary Method
Here, given Rate of Simple Interest = 8%
This, means, $8 per $100 per year
∵ For $100, the simple interest for 1 year = $8
∴ For $1, the simple interest for 1 year = 8/100
∴ For $3800, the simple interest in 1 year
= 8/100 × 3800
= 8 × 3800/100
= 30400/100 = $304
Thus, simple interest for 1 year = $304
Therefore, simple interest for 6 years
= Simple interest for 1 year × 6
= $304 × 6 = $1824
Thus, Simple Interest (SI) = $1824
Calculation of Amount
Amount = Principal + Interest
Thus, Amount = $3800 + $1824
= $5624
Thus, Amount to be paid = $5624 Answer
Similar Questions
(1) Calculate the amount due if Jessica borrowed a sum of $3750 at 5% simple interest for 4 years.
(2) What amount does Linda have to pay after 6 years if he takes a loan of $3350 at 3% simple interest?
(3) Calculate the amount due if Mary borrowed a sum of $3050 at 2% simple interest for 3 years.
(4) Find the amount to be paid if Mary borrowed a sum of $5050 at 4% simple interest for 8 years.
(5) William took a loan of $5000 at the rate of 7% simple interest per annum. If he paid an amount of $8500 to clear the loan, then find the time period of the loan.
(6) Mary took a loan of $4100 at the rate of 7% simple interest per annum. If he paid an amount of $5822 to clear the loan, then find the time period of the loan.
(7) Find the amount to be paid if Mary borrowed a sum of $5050 at 8% simple interest for 7 years.
(8) Find the amount to be paid if Christopher borrowed a sum of $6000 at 8% simple interest for 7 years.
(9) Matthew took a loan of $6400 at the rate of 7% simple interest per annum. If he paid an amount of $9984 to clear the loan, then find the time period of the loan.
(10) Find the amount to be paid if David borrowed a sum of $5400 at 3% simple interest for 8 years.