Question:
What amount does Barbara have to pay after 6 years if he takes a loan of $3550 at 8% simple interest?
Correct Answer
$5254
Solution And Explanation
Solution
Given,
Principal (P) = $3550
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) = $3550 × 8% × 6
= $3550 ×8/100 × 6
= 3550 × 8 × 6/100
= 28400 × 6/100
= 170400/100
= $1704
Thus, Simple Interest = $1704
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 = $3550 + $1704
= $5254
Thus, Amount to be paid = $5254 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 = $3550
Rate of Simple Interest (SI) or (R) = 8%
And, Time (t) = 6 years
Thus, Amount (A)
= $3550 + ($3550 × 8% × 6)
= $3550 + ($3550 ×8/100 × 6)
= $3550 + (3550 × 8 × 6/100)
= $3550 + (28400 × 6/100)
= $3550 + (170400/100)
= $3550 + $1704 = $5254
Thus, Amount (A) to be paid = $5254 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 $3550, the simple interest in 1 year
= 8/100 × 3550
= 8 × 3550/100
= 28400/100 = $284
Thus, simple interest for 1 year = $284
Therefore, simple interest for 6 years
= Simple interest for 1 year × 6
= $284 × 6 = $1704
Thus, Simple Interest (SI) = $1704
Calculation of Amount
Amount = Principal + Interest
Thus, Amount = $3550 + $1704
= $5254
Thus, Amount to be paid = $5254 Answer
Similar Questions
(1) How much loan did Lisa borrow 5 years ago at a rate of simple interest 2% per annum, if he paid $6655 to clear it?
(2) Elizabeth took a loan of $4900 at the rate of 9% simple interest per annum. If he paid an amount of $9310 to clear the loan, then find the time period of the loan.
(3) Margaret took a loan of $6700 at the rate of 7% simple interest per annum. If he paid an amount of $9514 to clear the loan, then find the time period of the loan.
(4) What amount does Sarah have to pay after 5 years if he takes a loan of $3850 at 9% simple interest?
(5) Calculate the amount due after 9 years if Charles borrowed a sum of $5900 at a rate of 10% simple interest.
(6) What amount does Barbara have to pay after 5 years if he takes a loan of $3550 at 8% simple interest?
(7) Calculate the amount due after 10 years if Sarah borrowed a sum of $5850 at a rate of 2% simple interest.
(8) Linda took a loan of $4700 at the rate of 6% simple interest per annum. If he paid an amount of $6674 to clear the loan, then find the time period of the loan.
(9) Calculate the amount due if William borrowed a sum of $3500 at 4% simple interest for 4 years.
(10) Find the amount to be paid if Robert borrowed a sum of $5100 at 5% simple interest for 8 years.