Question:
What amount will be due after 2 years if Joshua borrowed a sum of $3950 at a 6% simple interest?
Correct Answer
$4424
Solution And Explanation
Solution
Given,
Principal (P) = $3950
Rate of Simple Interest (SI) = 6%
Time (t) = 2 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) = $3950 × 6% × 2
= $3950 ×6/100 × 2
= 3950 × 6 × 2/100
= 23700 × 2/100
= 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) = 6%
And, Time (t) = 2 years
Thus, Amount (A)
= $3950 + ($3950 × 6% × 2)
= $3950 + ($3950 ×6/100 × 2)
= $3950 + (3950 × 6 × 2/100)
= $3950 + (23700 × 2/100)
= $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 = 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 $3950, the simple interest in 1 year
= 6/100 × 3950
= 6 × 3950/100
= 23700/100 = $237
Thus, simple interest for 1 year = $237
Therefore, simple interest for 2 years
= Simple interest for 1 year × 2
= $237 × 2 = $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) If Lisa paid $4860 to settle his loan which he had taken 4 years before at a simple interest of 5%, then find the loan taken.
(2) How much loan did Sarah borrow 5 years ago at a rate of simple interest 2% per annum, if he paid $6435 to clear it?
(3) Kimberly had to pay $5068.5 in order to furnish the loan taken 3 years before. If the rate of simple interest was 3% then find the sum borrowed.
(4) Find the amount to be paid if Robert borrowed a sum of $5100 at 6% simple interest for 7 years.
(5) Find the amount to be paid if Elizabeth borrowed a sum of $5450 at 5% simple interest for 7 years.
(6) Christopher took a loan of $6000 at the rate of 6% simple interest per annum. If he paid an amount of $8160 to clear the loan, then find the time period of the loan.
(7) What amount does John have to pay after 5 years if he takes a loan of $3200 at 6% simple interest?
(8) In how much time a principal of $3100 will amount to $3410 at a simple interest of 5% per annum?
(9) Jennifer took a loan of $4500 at the rate of 6% simple interest per annum. If he paid an amount of $6930 to clear the loan, then find the time period of the loan.
(10) Calculate the amount due after 9 years if Robert borrowed a sum of $5100 at a rate of 5% simple interest.