Question:
What amount does Mary have to pay after 5 years if he takes a loan of $3050 at 3% simple interest?
Correct Answer
$3507.5
Solution And Explanation
Solution
Given,
Principal (P) = $3050
Rate of Simple Interest (SI) = 3%
Time (t) = 5 years
Thus, Amount (A) = ?
The Rate of Interest is always calculated per annum, i.e. per year.
Thus, here 3% simple interest means, Rate of Simple Interest (SI) is 3% 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) = $3050 × 3% × 5
= $3050 ×3/100 × 5
= 3050 × 3 × 5/100
= 9150 × 5/100
= 45750/100
= $457.5
Thus, Simple Interest = $457.5
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 = $3050 + $457.5
= $3507.5
Thus, Amount to be paid = $3507.5 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 = $3050
Rate of Simple Interest (SI) or (R) = 3%
And, Time (t) = 5 years
Thus, Amount (A)
= $3050 + ($3050 × 3% × 5)
= $3050 + ($3050 ×3/100 × 5)
= $3050 + (3050 × 3 × 5/100)
= $3050 + (9150 × 5/100)
= $3050 + (45750/100)
= $3050 + $457.5 = $3507.5
Thus, Amount (A) to be paid = $3507.5 Answer
Method (3) Unitary Method
Calculation of Amount using Unitary Method
Calculation of Interest using Unitary Method
Here, given Rate of Simple Interest = 3%
This, means, $3 per $100 per year
∵ For $100, the simple interest for 1 year = $3
∴ For $1, the simple interest for 1 year = 3/100
∴ For $3050, the simple interest in 1 year
= 3/100 × 3050
= 3 × 3050/100
= 9150/100 = $91.5
Thus, simple interest for 1 year = $91.5
Therefore, simple interest for 5 years
= Simple interest for 1 year × 5
= $91.5 × 5 = $457.5
Thus, Simple Interest (SI) = $457.5
Calculation of Amount
Amount = Principal + Interest
Thus, Amount = $3050 + $457.5
= $3507.5
Thus, Amount to be paid = $3507.5 Answer
Similar Questions
(1) Ashley had to pay $4823 in order to furnish the loan taken 3 years before. If the rate of simple interest was 2% then find the sum borrowed.
(2) Calculate the amount due if Barbara borrowed a sum of $3550 at 8% simple interest for 3 years.
(3) What amount does Jennifer have to pay after 6 years if he takes a loan of $3250 at 10% simple interest?
(4) Calculate the amount due if Jennifer borrowed a sum of $3250 at 10% simple interest for 4 years.
(5) William took a loan of $5000 at the rate of 9% simple interest per annum. If he paid an amount of $8150 to clear the loan, then find the time period of the loan.
(6) If Daniel paid $4920 to settle his loan which he had taken 4 years before at a simple interest of 5%, then find the loan taken.
(7) What amount will be due after 2 years if Joseph borrowed a sum of $3350 at a 4% simple interest?
(8) What amount will be due after 2 years if Anthony borrowed a sum of $3650 at a 9% simple interest?
(9) What amount does Jessica have to pay after 5 years if he takes a loan of $3750 at 5% simple interest?
(10) What amount does Sarah have to pay after 5 years if he takes a loan of $3850 at 2% simple interest?