Question:
Calculate the amount due if Linda borrowed a sum of $3350 at 2% simple interest for 3 years.
Correct Answer
$3551
Solution And Explanation
Solution
Given,
Principal (P) = $3350
Rate of Simple Interest (SI) = 2%
Time (t) = 3 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) = $3350 × 2% × 3
= $3350 ×2/100 × 3
= 3350 × 2 × 3/100
= 6700 × 3/100
= 20100/100
= $201
Thus, Simple Interest = $201
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 = $3350 + $201
= $3551
Thus, Amount to be paid = $3551 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 = $3350
Rate of Simple Interest (SI) or (R) = 2%
And, Time (t) = 3 years
Thus, Amount (A)
= $3350 + ($3350 × 2% × 3)
= $3350 + ($3350 ×2/100 × 3)
= $3350 + (3350 × 2 × 3/100)
= $3350 + (6700 × 3/100)
= $3350 + (20100/100)
= $3350 + $201 = $3551
Thus, Amount (A) to be paid = $3551 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 $3350, the simple interest in 1 year
= 2/100 × 3350
= 2 × 3350/100
= 6700/100 = $67
Thus, simple interest for 1 year = $67
Therefore, simple interest for 3 years
= Simple interest for 1 year × 3
= $67 × 3 = $201
Thus, Simple Interest (SI) = $201
Calculation of Amount
Amount = Principal + Interest
Thus, Amount = $3350 + $201
= $3551
Thus, Amount to be paid = $3551 Answer
Similar Questions
(1) Calculate the amount due after 9 years if Patricia borrowed a sum of $5150 at a rate of 10% simple interest.
(2) Richard took a loan of $5200 at the rate of 6% simple interest per annum. If he paid an amount of $7696 to clear the loan, then find the time period of the loan.
(3) What amount does Charles have to pay after 5 years if he takes a loan of $3900 at 5% simple interest?
(4) What amount does Jennifer have to pay after 5 years if he takes a loan of $3250 at 10% simple interest?
(5) What amount does Mary have to pay after 5 years if he takes a loan of $3050 at 4% simple interest?
(6) What amount will be due after 2 years if Mark borrowed a sum of $3700 at a 5% simple interest?
(7) Find the amount to be paid if Jennifer borrowed a sum of $5250 at 7% simple interest for 8 years.
(8) Thomas took a loan of $5600 at the rate of 10% simple interest per annum. If he paid an amount of $10640 to clear the loan, then find the time period of the loan.
(9) William took a loan of $5000 at the rate of 7% simple interest per annum. If he paid an amount of $8150 to clear the loan, then find the time period of the loan.
(10) Karen took a loan of $5900 at the rate of 9% simple interest per annum. If he paid an amount of $10679 to clear the loan, then find the time period of the loan.