Question:
What amount does Barbara have to pay after 5 years if he takes a loan of $3550 at 3% simple interest?
Correct Answer
$4082.5
Solution And Explanation
Solution
Given,
Principal (P) = $3550
Rate of Simple Interest (SI) = 3%
Time (t) = 5 years
Thus, Amount (A) = ?
The Rate of Interest is always calculated per annum, i.e. per year.
Thus, here 3% simple interest means, Rate of Simple Interest (SI) is 3% 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 × 3% × 5
= $3550 ×3/100 × 5
= 3550 × 3 × 5/100
= 10650 × 5/100
= 53250/100
= $532.5
Thus, Simple Interest = $532.5
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 + $532.5
= $4082.5
Thus, Amount to be paid = $4082.5 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) = 3%
And, Time (t) = 5 years
Thus, Amount (A)
= $3550 + ($3550 × 3% × 5)
= $3550 + ($3550 ×3/100 × 5)
= $3550 + (3550 × 3 × 5/100)
= $3550 + (10650 × 5/100)
= $3550 + (53250/100)
= $3550 + $532.5 = $4082.5
Thus, Amount (A) to be paid = $4082.5 Answer
Method (3) Unitary Method
Calculation of Amount using Unitary Method
Calculation of Interest using Unitary Method
Here, given Rate of Simple Interest = 3%
This, means, $3 per $100 per year
∵ For $100, the simple interest for 1 year = $3
∴ For $1, the simple interest for 1 year = 3/100
∴ For $3550, the simple interest in 1 year
= 3/100 × 3550
= 3 × 3550/100
= 10650/100 = $106.5
Thus, simple interest for 1 year = $106.5
Therefore, simple interest for 5 years
= Simple interest for 1 year × 5
= $106.5 × 5 = $532.5
Thus, Simple Interest (SI) = $532.5
Calculation of Amount
Amount = Principal + Interest
Thus, Amount = $3550 + $532.5
= $4082.5
Thus, Amount to be paid = $4082.5 Answer
Similar Questions
(1) Calculate the amount due if Thomas borrowed a sum of $3800 at 10% simple interest for 4 years.
(2) Barbara had to pay $4082.5 in order to furnish the loan taken 3 years before. If the rate of simple interest was 5% then find the sum borrowed.
(3) What amount does John have to pay after 5 years if he takes a loan of $3200 at 5% simple interest?
(4) Find the amount to be paid if Patricia borrowed a sum of $5150 at 5% simple interest for 7 years.
(5) What amount does Christopher have to pay after 5 years if he takes a loan of $4000 at 2% simple interest?
(6) Richard took a loan of $5200 at the rate of 8% simple interest per annum. If he paid an amount of $8944 to clear the loan, then find the time period of the loan.
(7) Sarah took a loan of $5700 at the rate of 10% simple interest per annum. If he paid an amount of $9120 to clear the loan, then find the time period of the loan.
(8) Calculate the amount due after 10 years if Jennifer borrowed a sum of $5250 at a rate of 6% simple interest.
(9) What amount will be due after 2 years if Christopher borrowed a sum of $3500 at a 8% simple interest?
(10) How much loan did Mary borrow 5 years ago at a rate of simple interest 3% per annum, if he paid $5807.5 to clear it?