Question:
If Christopher borrowed $4000 from a bank at a rate of 3% simple interest per annum then find the amount to be paid after 2 years.
Correct Answer
$4240
Solution And Explanation
Solution
Given,
Principal (P) = $4000
Rate of Simple Interest (SI) = 3%
Time (t) = 2 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) = $4000 × 3% × 2
= $4000 ×3/100 × 2
= 4000 × 3 × 2/100
= 12000 × 2/100
= 24000/100
= $240
Thus, Simple Interest = $240
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 = $4000 + $240
= $4240
Thus, Amount to be paid = $4240 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 = $4000
Rate of Simple Interest (SI) or (R) = 3%
And, Time (t) = 2 years
Thus, Amount (A)
= $4000 + ($4000 × 3% × 2)
= $4000 + ($4000 ×3/100 × 2)
= $4000 + (4000 × 3 × 2/100)
= $4000 + (12000 × 2/100)
= $4000 + (24000/100)
= $4000 + $240 = $4240
Thus, Amount (A) to be paid = $4240 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 $4000, the simple interest in 1 year
= 3/100 × 4000
= 3 × 4000/100
= 12000/100 = $120
Thus, simple interest for 1 year = $120
Therefore, simple interest for 2 years
= Simple interest for 1 year × 2
= $120 × 2 = $240
Thus, Simple Interest (SI) = $240
Calculation of Amount
Amount = Principal + Interest
Thus, Amount = $4000 + $240
= $4240
Thus, Amount to be paid = $4240 Answer
Similar Questions
(1) Daniel took a loan of $6200 at the rate of 6% simple interest per annum. If he paid an amount of $8804 to clear the loan, then find the time period of the loan.
(2) Richard took a loan of $5200 at the rate of 9% simple interest per annum. If he paid an amount of $9880 to clear the loan, then find the time period of the loan.
(3) How much loan did Kevin borrow 5 years ago at a rate of simple interest 5% per annum, if he paid $8875 to clear it?
(4) Calculate the amount due after 10 years if William borrowed a sum of $5500 at a rate of 5% simple interest.
(5) If Andrew paid $5376 to settle his loan which he had taken 4 years before at a simple interest of 3%, then find the loan taken.
(6) Calculate the amount due if James borrowed a sum of $3000 at 8% simple interest for 4 years.
(7) William took a loan of $5000 at the rate of 6% simple interest per annum. If he paid an amount of $8000 to clear the loan, then find the time period of the loan.
(8) What amount will be due after 2 years if Joshua borrowed a sum of $3950 at a 4% simple interest?
(9) In how much time a principal of $3150 will amount to $3465 at a simple interest of 2% per annum?
(10) Calculate the amount due if Thomas borrowed a sum of $3800 at 4% simple interest for 3 years.