Question:
If Richard borrowed $3600 from a bank at a rate of 3% simple interest per annum then find the amount to be paid after 2 years.
Correct Answer
$3816
Solution And Explanation
Solution
Given,
Principal (P) = $3600
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) = $3600 × 3% × 2
= $3600 ×3/100 × 2
= 3600 × 3 × 2/100
= 10800 × 2/100
= 21600/100
= $216
Thus, Simple Interest = $216
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 = $3600 + $216
= $3816
Thus, Amount to be paid = $3816 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 = $3600
Rate of Simple Interest (SI) or (R) = 3%
And, Time (t) = 2 years
Thus, Amount (A)
= $3600 + ($3600 × 3% × 2)
= $3600 + ($3600 ×3/100 × 2)
= $3600 + (3600 × 3 × 2/100)
= $3600 + (10800 × 2/100)
= $3600 + (21600/100)
= $3600 + $216 = $3816
Thus, Amount (A) to be paid = $3816 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 $3600, the simple interest in 1 year
= 3/100 × 3600
= 3 × 3600/100
= 10800/100 = $108
Thus, simple interest for 1 year = $108
Therefore, simple interest for 2 years
= Simple interest for 1 year × 2
= $108 × 2 = $216
Thus, Simple Interest (SI) = $216
Calculation of Amount
Amount = Principal + Interest
Thus, Amount = $3600 + $216
= $3816
Thus, Amount to be paid = $3816 Answer
Similar Questions
(1) Mary had to pay $3324.5 in order to furnish the loan taken 3 years before. If the rate of simple interest was 3% then find the sum borrowed.
(2) Lisa took a loan of $6100 at the rate of 9% simple interest per annum. If he paid an amount of $9943 to clear the loan, then find the time period of the loan.
(3) In how much time a principal of $3000 will amount to $3360 at a simple interest of 4% per annum?
(4) Calculate the amount due if Michael borrowed a sum of $3300 at 10% simple interest for 3 years.
(5) Find the amount to be paid if Michael borrowed a sum of $5300 at 2% simple interest for 8 years.
(6) Mark took a loan of $6800 at the rate of 7% simple interest per annum. If he paid an amount of $11560 to clear the loan, then find the time period of the loan.
(7) If Richard borrowed $3600 from a bank at a rate of 3% simple interest per annum then find the amount to be paid after 2 years.
(8) Calculate the amount due if Susan borrowed a sum of $3650 at 7% simple interest for 4 years.
(9) What amount does Joseph have to pay after 6 years if he takes a loan of $3700 at 10% simple interest?
(10) Find the amount to be paid if William borrowed a sum of $5500 at 2% simple interest for 8 years.