Question:
What amount will be due after 2 years if Daniel borrowed a sum of $3550 at a 5% simple interest?
Correct Answer
$3905
Solution And Explanation
Solution
Given,
Principal (P) = $3550
Rate of Simple Interest (SI) = 5%
Time (t) = 2 years
Thus, Amount (A) = ?
The Rate of Interest is always calculated per annum, i.e. per year.
Thus, here 5% simple interest means, Rate of Simple Interest (SI) is 5% 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 × 5% × 2
= $3550 ×5/100 × 2
= 3550 × 5 × 2/100
= 17750 × 2/100
= 35500/100
= $355
Thus, Simple Interest = $355
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 + $355
= $3905
Thus, Amount to be paid = $3905 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) = 5%
And, Time (t) = 2 years
Thus, Amount (A)
= $3550 + ($3550 × 5% × 2)
= $3550 + ($3550 ×5/100 × 2)
= $3550 + (3550 × 5 × 2/100)
= $3550 + (17750 × 2/100)
= $3550 + (35500/100)
= $3550 + $355 = $3905
Thus, Amount (A) to be paid = $3905 Answer
Method (3) Unitary Method
Calculation of Amount using Unitary Method
Calculation of Interest using Unitary Method
Here, given Rate of Simple Interest = 5%
This, means, $5 per $100 per year
∵ For $100, the simple interest for 1 year = $5
∴ For $1, the simple interest for 1 year = 5/100
∴ For $3550, the simple interest in 1 year
= 5/100 × 3550
= 5 × 3550/100
= 17750/100 = $177.5
Thus, simple interest for 1 year = $177.5
Therefore, simple interest for 2 years
= Simple interest for 1 year × 2
= $177.5 × 2 = $355
Thus, Simple Interest (SI) = $355
Calculation of Amount
Amount = Principal + Interest
Thus, Amount = $3550 + $355
= $3905
Thus, Amount to be paid = $3905 Answer
Similar Questions
(1) Calculate the amount due if Jennifer borrowed a sum of $3250 at 6% simple interest for 3 years.
(2) Calculate the amount due after 9 years if Jessica borrowed a sum of $5750 at a rate of 5% simple interest.
(3) What amount does Karen have to pay after 6 years if he takes a loan of $3950 at 4% simple interest?
(4) Find the amount to be paid if Thomas borrowed a sum of $5800 at 2% simple interest for 7 years.
(5) How much loan did Susan borrow 5 years ago at a rate of simple interest 4% per annum, if he paid $6780 to clear it?
(6) John took a loan of $4400 at the rate of 7% simple interest per annum. If he paid an amount of $6248 to clear the loan, then find the time period of the loan.
(7) In how much time a principal of $3000 will amount to $3450 at a simple interest of 3% per annum?
(8) Calculate the amount due if Charles borrowed a sum of $3900 at 7% simple interest for 4 years.
(9) Calculate the amount due if Sarah borrowed a sum of $3850 at 2% simple interest for 3 years.
(10) Anthony took a loan of $6600 at the rate of 9% simple interest per annum. If he paid an amount of $11946 to clear the loan, then find the time period of the loan.