Question:
Find the amount to be paid if Thomas borrowed a sum of $5800 at 10% simple interest for 7 years.
Correct Answer
$9860
Solution And Explanation
Solution
Given,
Principal (P) = $5800
Rate of Simple Interest (SI) = 10%
Time (t) = 7 years
Thus, Amount (A) = ?
The Rate of Interest is always calculated per annum, i.e. per year.
Thus, here 10% simple interest means, Rate of Simple Interest (SI) is 10% 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) = $5800 × 10% × 7
= $5800 ×10/100 × 7
= 5800 × 10 × 7/100
= 58000 × 7/100
= 406000/100
= $4060
Thus, Simple Interest = $4060
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 = $5800 + $4060
= $9860
Thus, Amount to be paid = $9860 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 = $5800
Rate of Simple Interest (SI) or (R) = 10%
And, Time (t) = 7 years
Thus, Amount (A)
= $5800 + ($5800 × 10% × 7)
= $5800 + ($5800 ×10/100 × 7)
= $5800 + (5800 × 10 × 7/100)
= $5800 + (58000 × 7/100)
= $5800 + (406000/100)
= $5800 + $4060 = $9860
Thus, Amount (A) to be paid = $9860 Answer
Method (3) Unitary Method
Calculation of Amount using Unitary Method
Calculation of Interest using Unitary Method
Here, given Rate of Simple Interest = 10%
This, means, $10 per $100 per year
∵ For $100, the simple interest for 1 year = $10
∴ For $1, the simple interest for 1 year = 10/100
∴ For $5800, the simple interest in 1 year
= 10/100 × 5800
= 10 × 5800/100
= 58000/100 = $580
Thus, simple interest for 1 year = $580
Therefore, simple interest for 7 years
= Simple interest for 1 year × 7
= $580 × 7 = $4060
Thus, Simple Interest (SI) = $4060
Calculation of Amount
Amount = Principal + Interest
Thus, Amount = $5800 + $4060
= $9860
Thus, Amount to be paid = $9860 Answer
Similar Questions
(1) What amount will be due after 2 years if James borrowed a sum of $3000 at a 4% simple interest?
(2) What amount does Thomas have to pay after 5 years if he takes a loan of $3800 at 8% simple interest?
(3) Calculate the amount due if Christopher borrowed a sum of $4000 at 5% simple interest for 4 years.
(4) Find the amount to be paid if Michael borrowed a sum of $5300 at 9% simple interest for 8 years.
(5) Calculate the amount due after 10 years if Elizabeth borrowed a sum of $5450 at a rate of 2% simple interest.
(6) Michael took a loan of $4600 at the rate of 8% simple interest per annum. If he paid an amount of $7544 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 2% simple interest for 3 years.
(8) Karen took a loan of $5900 at the rate of 6% simple interest per annum. If he paid an amount of $9086 to clear the loan, then find the time period of the loan.
(9) Betty took a loan of $6500 at the rate of 6% simple interest per annum. If he paid an amount of $8840 to clear the loan, then find the time period of the loan.
(10) What amount does Elizabeth have to pay after 6 years if he takes a loan of $3450 at 8% simple interest?