Question:
Calculate the amount due after 10 years if Linda borrowed a sum of $5350 at a rate of 6% simple interest.
Correct Answer
$8560
Solution And Explanation
Solution
Given,
Principal (P) = $5350
Rate of Simple Interest (SI) = 6%
Time (t) = 10 years
Thus, Amount (A) = ?
The Rate of Interest is always calculated per annum, i.e. per year.
Thus, here 6% simple interest means, Rate of Simple Interest (SI) is 6% 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) = $5350 × 6% × 10
= $5350 ×6/100 × 10
= 5350 × 6 × 10/100
= 32100 × 10/100
= 321000/100
= $3210
Thus, Simple Interest = $3210
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 = $5350 + $3210
= $8560
Thus, Amount to be paid = $8560 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 = $5350
Rate of Simple Interest (SI) or (R) = 6%
And, Time (t) = 10 years
Thus, Amount (A)
= $5350 + ($5350 × 6% × 10)
= $5350 + ($5350 ×6/100 × 10)
= $5350 + (5350 × 6 × 10/100)
= $5350 + (32100 × 10/100)
= $5350 + (321000/100)
= $5350 + $3210 = $8560
Thus, Amount (A) to be paid = $8560 Answer
Method (3) Unitary Method
Calculation of Amount using Unitary Method
Calculation of Interest using Unitary Method
Here, given Rate of Simple Interest = 6%
This, means, $6 per $100 per year
∵ For $100, the simple interest for 1 year = $6
∴ For $1, the simple interest for 1 year = 6/100
∴ For $5350, the simple interest in 1 year
= 6/100 × 5350
= 6 × 5350/100
= 32100/100 = $321
Thus, simple interest for 1 year = $321
Therefore, simple interest for 10 years
= Simple interest for 1 year × 10
= $321 × 10 = $3210
Thus, Simple Interest (SI) = $3210
Calculation of Amount
Amount = Principal + Interest
Thus, Amount = $5350 + $3210
= $8560
Thus, Amount to be paid = $8560 Answer
Similar Questions
(1) Charles took a loan of $5800 at the rate of 9% simple interest per annum. If he paid an amount of $8932 to clear the loan, then find the time period of the loan.
(2) Calculate the amount due after 9 years if Jessica borrowed a sum of $5750 at a rate of 9% simple interest.
(3) Calculate the amount due if Charles borrowed a sum of $3900 at 7% simple interest for 3 years.
(4) Charles had to pay $4485 in order to furnish the loan taken 3 years before. If the rate of simple interest was 5% then find the sum borrowed.
(5) Mary took a loan of $4100 at the rate of 10% simple interest per annum. If he paid an amount of $8200 to clear the loan, then find the time period of the loan.
(6) Find the amount to be paid if David borrowed a sum of $5400 at 8% simple interest for 7 years.
(7) What amount will be due after 2 years if Paul borrowed a sum of $3850 at a 7% simple interest?
(8) Find the amount to be paid if Karen borrowed a sum of $5950 at 7% simple interest for 7 years.
(9) Elizabeth took a loan of $4900 at the rate of 8% simple interest per annum. If he paid an amount of $8036 to clear the loan, then find the time period of the loan.
(10) Calculate the amount due after 9 years if Jennifer borrowed a sum of $5250 at a rate of 8% simple interest.