Question:
What amount will be due after 2 years if Daniel borrowed a sum of $3550 at a 4% simple interest?
Correct Answer
$3834
Solution And Explanation
Solution
Given,
Principal (P) = $3550
Rate of Simple Interest (SI) = 4%
Time (t) = 2 years
Thus, Amount (A) = ?
The Rate of Interest is always calculated per annum, i.e. per year.
Thus, here 4% simple interest means, Rate of Simple Interest (SI) is 4% 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) = $3550 × 4% × 2
= $3550 ×4/100 × 2
= 3550 × 4 × 2/100
= 14200 × 2/100
= 28400/100
= $284
Thus, Simple Interest = $284
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 = $3550 + $284
= $3834
Thus, Amount to be paid = $3834 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 = $3550
Rate of Simple Interest (SI) or (R) = 4%
And, Time (t) = 2 years
Thus, Amount (A)
= $3550 + ($3550 × 4% × 2)
= $3550 + ($3550 ×4/100 × 2)
= $3550 + (3550 × 4 × 2/100)
= $3550 + (14200 × 2/100)
= $3550 + (28400/100)
= $3550 + $284 = $3834
Thus, Amount (A) to be paid = $3834 Answer
Method (3) Unitary Method
Calculation of Amount using Unitary Method
Calculation of Interest using Unitary Method
Here, given Rate of Simple Interest = 4%
This, means, $4 per $100 per year
∵ For $100, the simple interest for 1 year = $4
∴ For $1, the simple interest for 1 year = 4/100
∴ For $3550, the simple interest in 1 year
= 4/100 × 3550
= 4 × 3550/100
= 14200/100 = $142
Thus, simple interest for 1 year = $142
Therefore, simple interest for 2 years
= Simple interest for 1 year × 2
= $142 × 2 = $284
Thus, Simple Interest (SI) = $284
Calculation of Amount
Amount = Principal + Interest
Thus, Amount = $3550 + $284
= $3834
Thus, Amount to be paid = $3834 Answer
Similar Questions
(1) Thomas took a loan of $5600 at the rate of 7% simple interest per annum. If he paid an amount of $9128 to clear the loan, then find the time period of the loan.
(2) Find the amount to be paid if Elizabeth borrowed a sum of $5450 at 3% simple interest for 8 years.
(3) Joseph took a loan of $5400 at the rate of 6% simple interest per annum. If he paid an amount of $7992 to clear the loan, then find the time period of the loan.
(4) In how much time a principal of $3050 will amount to $3294 at a simple interest of 4% per annum?
(5) Calculate the amount due after 10 years if Sarah borrowed a sum of $5850 at a rate of 5% simple interest.
(6) Lisa took a loan of $6100 at the rate of 9% simple interest per annum. If he paid an amount of $9394 to clear the loan, then find the time period of the loan.
(7) Find the amount to be paid if Mary borrowed a sum of $5050 at 6% simple interest for 7 years.
(8) What amount does Linda have to pay after 5 years if he takes a loan of $3350 at 6% simple interest?
(9) Jennifer took a loan of $4500 at the rate of 10% simple interest per annum. If he paid an amount of $7650 to clear the loan, then find the time period of the loan.
(10) How much loan did Jeffrey borrow 5 years ago at a rate of simple interest 5% per annum, if he paid $9750 to clear it?