Question:
Calculate the amount due if Jessica borrowed a sum of $3750 at 10% simple interest for 4 years.
Correct Answer
$5250
Solution And Explanation
Solution
Given,
Principal (P) = $3750
Rate of Simple Interest (SI) = 10%
Time (t) = 4 years
Thus, Amount (A) = ?
The Rate of Interest is always calculated per annum, i.e. per year.
Thus, here 10% simple interest means, Rate of Simple Interest (SI) is 10% 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) = $3750 × 10% × 4
= $3750 ×10/100 × 4
= 3750 × 10 × 4/100
= 37500 × 4/100
= 150000/100
= $1500
Thus, Simple Interest = $1500
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 = $3750 + $1500
= $5250
Thus, Amount to be paid = $5250 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 = $3750
Rate of Simple Interest (SI) or (R) = 10%
And, Time (t) = 4 years
Thus, Amount (A)
= $3750 + ($3750 × 10% × 4)
= $3750 + ($3750 ×10/100 × 4)
= $3750 + (3750 × 10 × 4/100)
= $3750 + (37500 × 4/100)
= $3750 + (150000/100)
= $3750 + $1500 = $5250
Thus, Amount (A) to be paid = $5250 Answer
Method (3) Unitary Method
Calculation of Amount using Unitary Method
Calculation of Interest using Unitary Method
Here, given Rate of Simple Interest = 10%
This, means, $10 per $100 per year
∵ For $100, the simple interest for 1 year = $10
∴ For $1, the simple interest for 1 year = 10/100
∴ For $3750, the simple interest in 1 year
= 10/100 × 3750
= 10 × 3750/100
= 37500/100 = $375
Thus, simple interest for 1 year = $375
Therefore, simple interest for 4 years
= Simple interest for 1 year × 4
= $375 × 4 = $1500
Thus, Simple Interest (SI) = $1500
Calculation of Amount
Amount = Principal + Interest
Thus, Amount = $3750 + $1500
= $5250
Thus, Amount to be paid = $5250 Answer
Similar Questions
(1) Thomas took a loan of $5600 at the rate of 8% simple interest per annum. If he paid an amount of $8288 to clear the loan, then find the time period of the loan.
(2) Patricia took a loan of $4300 at the rate of 10% simple interest per annum. If he paid an amount of $8170 to clear the loan, then find the time period of the loan.
(3) Calculate the amount due after 9 years if Thomas borrowed a sum of $5800 at a rate of 4% simple interest.
(4) Calculate the amount due if Sarah borrowed a sum of $3850 at 10% simple interest for 4 years.
(5) Calculate the amount due after 10 years if Karen borrowed a sum of $5950 at a rate of 7% simple interest.
(6) Calculate the amount due if Jessica borrowed a sum of $3750 at 4% simple interest for 3 years.
(7) Calculate the amount due if David borrowed a sum of $3400 at 8% simple interest for 3 years.
(8) Daniel took a loan of $6200 at the rate of 8% simple interest per annum. If he paid an amount of $10168 to clear the loan, then find the time period of the loan.
(9) Robert took a loan of $4200 at the rate of 9% simple interest per annum. If he paid an amount of $7980 to clear the loan, then find the time period of the loan.
(10) Joshua had to pay $5488 in order to furnish the loan taken 3 years before. If the rate of simple interest was 4% then find the sum borrowed.