Question:
What amount does Jessica have to pay after 5 years if he takes a loan of $3750 at 3% simple interest?
Correct Answer
$4312.5
Solution And Explanation
Solution
Given,
Principal (P) = $3750
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) = $3750 × 3% × 5
= $3750 ×3/100 × 5
= 3750 × 3 × 5/100
= 11250 × 5/100
= 56250/100
= $562.5
Thus, Simple Interest = $562.5
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 = $3750 + $562.5
= $4312.5
Thus, Amount to be paid = $4312.5 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 = $3750
Rate of Simple Interest (SI) or (R) = 3%
And, Time (t) = 5 years
Thus, Amount (A)
= $3750 + ($3750 × 3% × 5)
= $3750 + ($3750 ×3/100 × 5)
= $3750 + (3750 × 3 × 5/100)
= $3750 + (11250 × 5/100)
= $3750 + (56250/100)
= $3750 + $562.5 = $4312.5
Thus, Amount (A) to be paid = $4312.5 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 $3750, the simple interest in 1 year
= 3/100 × 3750
= 3 × 3750/100
= 11250/100 = $112.5
Thus, simple interest for 1 year = $112.5
Therefore, simple interest for 5 years
= Simple interest for 1 year × 5
= $112.5 × 5 = $562.5
Thus, Simple Interest (SI) = $562.5
Calculation of Amount
Amount = Principal + Interest
Thus, Amount = $3750 + $562.5
= $4312.5
Thus, Amount to be paid = $4312.5 Answer
Similar Questions
(1) How much loan did Sarah borrow 5 years ago at a rate of simple interest 3% per annum, if he paid $6727.5 to clear it?
(2) How much loan did Charles borrow 5 years ago at a rate of simple interest 2% per annum, if he paid $6490 to clear it?
(3) David took a loan of $4800 at the rate of 8% simple interest per annum. If he paid an amount of $7104 to clear the loan, then find the time period of the loan.
(4) Susan took a loan of $5300 at the rate of 6% simple interest per annum. If he paid an amount of $8480 to clear the loan, then find the time period of the loan.
(5) Margaret took a loan of $6700 at the rate of 6% simple interest per annum. If he paid an amount of $9112 to clear the loan, then find the time period of the loan.
(6) Richard took a loan of $5200 at the rate of 10% simple interest per annum. If he paid an amount of $9880 to clear the loan, then find the time period of the loan.
(7) What amount will be due after 2 years if Joshua borrowed a sum of $3950 at a 7% simple interest?
(8) Lisa took a loan of $6100 at the rate of 7% simple interest per annum. If he paid an amount of $10370 to clear the loan, then find the time period of the loan.
(9) Find the amount to be paid if Robert borrowed a sum of $5100 at 2% simple interest for 7 years.
(10) Calculate the amount due if Christopher borrowed a sum of $4000 at 3% simple interest for 3 years.