Question:
Find the amount to be paid if Jennifer borrowed a sum of $5250 at 8% simple interest for 7 years.
Correct Answer
$8190
Solution And Explanation
Solution
Given,
Principal (P) = $5250
Rate of Simple Interest (SI) = 8%
Time (t) = 7 years
Thus, Amount (A) = ?
The Rate of Interest is always calculated per annum, i.e. per year.
Thus, here 8% simple interest means, Rate of Simple Interest (SI) is 8% 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) = $5250 × 8% × 7
= $5250 ×8/100 × 7
= 5250 × 8 × 7/100
= 42000 × 7/100
= 294000/100
= $2940
Thus, Simple Interest = $2940
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 = $5250 + $2940
= $8190
Thus, Amount to be paid = $8190 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 = $5250
Rate of Simple Interest (SI) or (R) = 8%
And, Time (t) = 7 years
Thus, Amount (A)
= $5250 + ($5250 × 8% × 7)
= $5250 + ($5250 ×8/100 × 7)
= $5250 + (5250 × 8 × 7/100)
= $5250 + (42000 × 7/100)
= $5250 + (294000/100)
= $5250 + $2940 = $8190
Thus, Amount (A) to be paid = $8190 Answer
Method (3) Unitary Method
Calculation of Amount using Unitary Method
Calculation of Interest using Unitary Method
Here, given Rate of Simple Interest = 8%
This, means, $8 per $100 per year
∵ For $100, the simple interest for 1 year = $8
∴ For $1, the simple interest for 1 year = 8/100
∴ For $5250, the simple interest in 1 year
= 8/100 × 5250
= 8 × 5250/100
= 42000/100 = $420
Thus, simple interest for 1 year = $420
Therefore, simple interest for 7 years
= Simple interest for 1 year × 7
= $420 × 7 = $2940
Thus, Simple Interest (SI) = $2940
Calculation of Amount
Amount = Principal + Interest
Thus, Amount = $5250 + $2940
= $8190
Thus, Amount to be paid = $8190 Answer
Similar Questions
(1) Calculate the amount due if Christopher borrowed a sum of $4000 at 8% simple interest for 3 years.
(2) Calculate the amount due if Joseph borrowed a sum of $3700 at 5% simple interest for 3 years.
(3) What amount does William have to pay after 5 years if he takes a loan of $3500 at 7% simple interest?
(4) Calculate the amount due after 10 years if Susan borrowed a sum of $5650 at a rate of 9% simple interest.
(5) Elizabeth took a loan of $4900 at the rate of 6% simple interest per annum. If he paid an amount of $7252 to clear the loan, then find the time period of the loan.
(6) Linda took a loan of $4700 at the rate of 10% simple interest per annum. If he paid an amount of $9400 to clear the loan, then find the time period of the loan.
(7) Michael took a loan of $4600 at the rate of 10% simple interest per annum. If he paid an amount of $8280 to clear the loan, then find the time period of the loan.
(8) Linda took a loan of $4700 at the rate of 6% simple interest per annum. If he paid an amount of $7520 to clear the loan, then find the time period of the loan.
(9) Robert took a loan of $4200 at the rate of 10% simple interest per annum. If he paid an amount of $7980 to clear the loan, then find the time period of the loan.
(10) Find the amount to be paid if Michael borrowed a sum of $5300 at 6% simple interest for 7 years.