Question:
Find the amount to be paid if Richard borrowed a sum of $5600 at 2% simple interest for 8 years.
Correct Answer
$6496
Solution And Explanation
Solution
Given,
Principal (P) = $5600
Rate of Simple Interest (SI) = 2%
Time (t) = 8 years
Thus, Amount (A) = ?
The Rate of Interest is always calculated per annum, i.e. per year.
Thus, here 2% simple interest means, Rate of Simple Interest (SI) is 2% 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) = $5600 × 2% × 8
= $5600 ×2/100 × 8
= 5600 × 2 × 8/100
= 11200 × 8/100
= 89600/100
= $896
Thus, Simple Interest = $896
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 = $5600 + $896
= $6496
Thus, Amount to be paid = $6496 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 = $5600
Rate of Simple Interest (SI) or (R) = 2%
And, Time (t) = 8 years
Thus, Amount (A)
= $5600 + ($5600 × 2% × 8)
= $5600 + ($5600 ×2/100 × 8)
= $5600 + (5600 × 2 × 8/100)
= $5600 + (11200 × 8/100)
= $5600 + (89600/100)
= $5600 + $896 = $6496
Thus, Amount (A) to be paid = $6496 Answer
Method (3) Unitary Method
Calculation of Amount using Unitary Method
Calculation of Interest using Unitary Method
Here, given Rate of Simple Interest = 2%
This, means, $2 per $100 per year
∵ For $100, the simple interest for 1 year = $2
∴ For $1, the simple interest for 1 year = 2/100
∴ For $5600, the simple interest in 1 year
= 2/100 × 5600
= 2 × 5600/100
= 11200/100 = $112
Thus, simple interest for 1 year = $112
Therefore, simple interest for 8 years
= Simple interest for 1 year × 8
= $112 × 8 = $896
Thus, Simple Interest (SI) = $896
Calculation of Amount
Amount = Principal + Interest
Thus, Amount = $5600 + $896
= $6496
Thus, Amount to be paid = $6496 Answer
Similar Questions
(1) Sandra took a loan of $6900 at the rate of 6% simple interest per annum. If he paid an amount of $10626 to clear the loan, then find the time period of the loan.
(2) Find the amount to be paid if Charles borrowed a sum of $5900 at 10% simple interest for 7 years.
(3) If William borrowed $3500 from a bank at a rate of 2% simple interest per annum then find the amount to be paid after 2 years.
(4) Anthony took a loan of $6600 at the rate of 10% simple interest per annum. If he paid an amount of $10560 to clear the loan, then find the time period of the loan.
(5) Calculate the amount due if Robert borrowed a sum of $3100 at 6% simple interest for 4 years.
(6) Margaret took a loan of $6700 at the rate of 8% simple interest per annum. If he paid an amount of $10452 to clear the loan, then find the time period of the loan.
(7) Find the amount to be paid if Thomas borrowed a sum of $5800 at 10% simple interest for 8 years.
(8) What amount does Jessica have to pay after 5 years if he takes a loan of $3750 at 10% simple interest?
(9) Find the amount to be paid if Sarah borrowed a sum of $5850 at 3% simple interest for 8 years.
(10) What amount does Patricia have to pay after 5 years if he takes a loan of $3150 at 5% simple interest?