Question:
Calculate the amount due if James borrowed a sum of $3000 at 6% simple interest for 3 years.
Correct Answer
$3540
Solution And Explanation
Solution
Given,
Principal (P) = $3000
Rate of Simple Interest (SI) = 6%
Time (t) = 3 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) = $3000 × 6% × 3
= $3000 ×6/100 × 3
= 3000 × 6 × 3/100
= 18000 × 3/100
= 54000/100
= $540
Thus, Simple Interest = $540
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 = $3000 + $540
= $3540
Thus, Amount to be paid = $3540 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 = $3000
Rate of Simple Interest (SI) or (R) = 6%
And, Time (t) = 3 years
Thus, Amount (A)
= $3000 + ($3000 × 6% × 3)
= $3000 + ($3000 ×6/100 × 3)
= $3000 + (3000 × 6 × 3/100)
= $3000 + (18000 × 3/100)
= $3000 + (54000/100)
= $3000 + $540 = $3540
Thus, Amount (A) to be paid = $3540 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 $3000, the simple interest in 1 year
= 6/100 × 3000
= 6 × 3000/100
= 18000/100 = $180
Thus, simple interest for 1 year = $180
Therefore, simple interest for 3 years
= Simple interest for 1 year × 3
= $180 × 3 = $540
Thus, Simple Interest (SI) = $540
Calculation of Amount
Amount = Principal + Interest
Thus, Amount = $3000 + $540
= $3540
Thus, Amount to be paid = $3540 Answer
Similar Questions
(1) In how much time a principal of $3200 will amount to $3840 at a simple interest of 4% per annum?
(2) Calculate the amount due if Charles borrowed a sum of $3900 at 5% simple interest for 4 years.
(3) In how much time a principal of $3050 will amount to $3233 at a simple interest of 3% per annum?
(4) Mark had to pay $4928 in order to furnish the loan taken 3 years before. If the rate of simple interest was 4% then find the sum borrowed.
(5) Find the amount to be paid if James borrowed a sum of $5000 at 8% simple interest for 8 years.
(6) Calculate the amount due if Charles borrowed a sum of $3900 at 4% simple interest for 3 years.
(7) Find the amount to be paid if John borrowed a sum of $5200 at 4% simple interest for 7 years.
(8) Thomas took a loan of $5600 at the rate of 8% simple interest per annum. If he paid an amount of $9184 to clear the loan, then find the time period of the loan.
(9) What amount will be due after 2 years if Donald borrowed a sum of $3750 at a 6% simple interest?
(10) What amount will be due after 2 years if Thomas borrowed a sum of $3400 at a 8% simple interest?