Question:
What amount does Karen have to pay after 6 years if he takes a loan of $3950 at 2% simple interest?
Correct Answer
$4424
Solution And Explanation
Solution
Given,
Principal (P) = $3950
Rate of Simple Interest (SI) = 2%
Time (t) = 6 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) = $3950 × 2% × 6
= $3950 ×2/100 × 6
= 3950 × 2 × 6/100
= 7900 × 6/100
= 47400/100
= $474
Thus, Simple Interest = $474
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 = $3950 + $474
= $4424
Thus, Amount to be paid = $4424 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 = $3950
Rate of Simple Interest (SI) or (R) = 2%
And, Time (t) = 6 years
Thus, Amount (A)
= $3950 + ($3950 × 2% × 6)
= $3950 + ($3950 ×2/100 × 6)
= $3950 + (3950 × 2 × 6/100)
= $3950 + (7900 × 6/100)
= $3950 + (47400/100)
= $3950 + $474 = $4424
Thus, Amount (A) to be paid = $4424 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 $3950, the simple interest in 1 year
= 2/100 × 3950
= 2 × 3950/100
= 7900/100 = $79
Thus, simple interest for 1 year = $79
Therefore, simple interest for 6 years
= Simple interest for 1 year × 6
= $79 × 6 = $474
Thus, Simple Interest (SI) = $474
Calculation of Amount
Amount = Principal + Interest
Thus, Amount = $3950 + $474
= $4424
Thus, Amount to be paid = $4424 Answer
Similar Questions
(1) Jessica took a loan of $5500 at the rate of 6% simple interest per annum. If he paid an amount of $8470 to clear the loan, then find the time period of the loan.
(2) What amount does John have to pay after 6 years if he takes a loan of $3200 at 8% simple interest?
(3) Find the amount to be paid if Charles borrowed a sum of $5900 at 2% simple interest for 8 years.
(4) If Sarah paid $4158 to settle his loan which he had taken 4 years before at a simple interest of 2%, then find the loan taken.
(5) Linda took a loan of $4700 at the rate of 8% simple interest per annum. If he paid an amount of $8084 to clear the loan, then find the time period of the loan.
(6) Robert took a loan of $4200 at the rate of 6% simple interest per annum. If he paid an amount of $6216 to clear the loan, then find the time period of the loan.
(7) Calculate the amount due if Mary borrowed a sum of $3050 at 7% simple interest for 4 years.
(8) Barbara took a loan of $5100 at the rate of 7% simple interest per annum. If he paid an amount of $7956 to clear the loan, then find the time period of the loan.
(9) Mark took a loan of $6800 at the rate of 6% simple interest per annum. If he paid an amount of $10472 to clear the loan, then find the time period of the loan.
(10) Calculate the amount due if Michael borrowed a sum of $3300 at 3% simple interest for 3 years.