Question:
Calculate the amount due after 10 years if Barbara borrowed a sum of $5550 at a rate of 6% simple interest.
Correct Answer
$8880
Solution And Explanation
Solution
Given,
Principal (P) = $5550
Rate of Simple Interest (SI) = 6%
Time (t) = 10 years
Thus, Amount (A) = ?
The Rate of Interest is always calculated per annum, i.e. per year.
Thus, here 6% simple interest means, Rate of Simple Interest (SI) is 6% 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) = $5550 × 6% × 10
= $5550 ×6/100 × 10
= 5550 × 6 × 10/100
= 33300 × 10/100
= 333000/100
= $3330
Thus, Simple Interest = $3330
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 = $5550 + $3330
= $8880
Thus, Amount to be paid = $8880 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 = $5550
Rate of Simple Interest (SI) or (R) = 6%
And, Time (t) = 10 years
Thus, Amount (A)
= $5550 + ($5550 × 6% × 10)
= $5550 + ($5550 ×6/100 × 10)
= $5550 + (5550 × 6 × 10/100)
= $5550 + (33300 × 10/100)
= $5550 + (333000/100)
= $5550 + $3330 = $8880
Thus, Amount (A) to be paid = $8880 Answer
Method (3) Unitary Method
Calculation of Amount using Unitary Method
Calculation of Interest using Unitary Method
Here, given Rate of Simple Interest = 6%
This, means, $6 per $100 per year
∵ For $100, the simple interest for 1 year = $6
∴ For $1, the simple interest for 1 year = 6/100
∴ For $5550, the simple interest in 1 year
= 6/100 × 5550
= 6 × 5550/100
= 33300/100 = $333
Thus, simple interest for 1 year = $333
Therefore, simple interest for 10 years
= Simple interest for 1 year × 10
= $333 × 10 = $3330
Thus, Simple Interest (SI) = $3330
Calculation of Amount
Amount = Principal + Interest
Thus, Amount = $5550 + $3330
= $8880
Thus, Amount to be paid = $8880 Answer
Similar Questions
(1) Calculate the amount due after 9 years if Robert borrowed a sum of $5100 at a rate of 10% simple interest.
(2) If Charles paid $4368 to settle his loan which he had taken 4 years before at a simple interest of 3%, then find the loan taken.
(3) 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.
(4) John took a loan of $4400 at the rate of 8% simple interest per annum. If he paid an amount of $6864 to clear the loan, then find the time period of the loan.
(5) What amount will be due after 2 years if Steven borrowed a sum of $3800 at a 10% simple interest?
(6) Find the amount to be paid if Jessica borrowed a sum of $5750 at 10% simple interest for 7 years.
(7) Robert took a loan of $4200 at the rate of 9% simple interest per annum. If he paid an amount of $6846 to clear the loan, then find the time period of the loan.
(8) What amount will be due after 2 years if Matthew borrowed a sum of $3600 at a 5% simple interest?
(9) Calculate the amount due if Jessica borrowed a sum of $3750 at 3% simple interest for 3 years.
(10) Find the amount to be paid if James borrowed a sum of $5000 at 7% simple interest for 8 years.