Question:
Calculate the amount due after 10 years if Karen borrowed a sum of $5950 at a rate of 8% simple interest.
Correct Answer
$10710
Solution And Explanation
Solution
Given,
Principal (P) = $5950
Rate of Simple Interest (SI) = 8%
Time (t) = 10 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) = $5950 × 8% × 10
= $5950 ×8/100 × 10
= 5950 × 8 × 10/100
= 47600 × 10/100
= 476000/100
= $4760
Thus, Simple Interest = $4760
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 = $5950 + $4760
= $10710
Thus, Amount to be paid = $10710 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 = $5950
Rate of Simple Interest (SI) or (R) = 8%
And, Time (t) = 10 years
Thus, Amount (A)
= $5950 + ($5950 × 8% × 10)
= $5950 + ($5950 ×8/100 × 10)
= $5950 + (5950 × 8 × 10/100)
= $5950 + (47600 × 10/100)
= $5950 + (476000/100)
= $5950 + $4760 = $10710
Thus, Amount (A) to be paid = $10710 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 $5950, the simple interest in 1 year
= 8/100 × 5950
= 8 × 5950/100
= 47600/100 = $476
Thus, simple interest for 1 year = $476
Therefore, simple interest for 10 years
= Simple interest for 1 year × 10
= $476 × 10 = $4760
Thus, Simple Interest (SI) = $4760
Calculation of Amount
Amount = Principal + Interest
Thus, Amount = $5950 + $4760
= $10710
Thus, Amount to be paid = $10710 Answer
Similar Questions
(1) Christopher had to pay $4480 in order to furnish the loan taken 3 years before. If the rate of simple interest was 4% then find the sum borrowed.
(2) Barbara had to pay $3763 in order to furnish the loan taken 3 years before. If the rate of simple interest was 2% then find the sum borrowed.
(3) What amount does Karen have to pay after 6 years if he takes a loan of $3950 at 3% simple interest?
(4) John took a loan of $4400 at the rate of 6% simple interest per annum. If he paid an amount of $6512 to clear the loan, then find the time period of the loan.
(5) Calculate the amount due if Linda borrowed a sum of $3350 at 2% simple interest for 3 years.
(6) What amount will be due after 2 years if Anthony borrowed a sum of $3650 at a 5% simple interest?
(7) Calculate the amount due if David borrowed a sum of $3400 at 8% simple interest for 3 years.
(8) Calculate the amount due if William borrowed a sum of $3500 at 10% simple interest for 3 years.
(9) Daniel took a loan of $6200 at the rate of 10% simple interest per annum. If he paid an amount of $10540 to clear the loan, then find the time period of the loan.
(10) What amount will be due after 2 years if Mark borrowed a sum of $3700 at a 10% simple interest?