Question:
What amount does Barbara have to pay after 6 years if he takes a loan of $3550 at 2% simple interest?
Correct Answer
$3976
Solution And Explanation
Solution
Given,
Principal (P) = $3550
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) = $3550 × 2% × 6
= $3550 ×2/100 × 6
= 3550 × 2 × 6/100
= 7100 × 6/100
= 42600/100
= $426
Thus, Simple Interest = $426
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 + $426
= $3976
Thus, Amount to be paid = $3976 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) = 2%
And, Time (t) = 6 years
Thus, Amount (A)
= $3550 + ($3550 × 2% × 6)
= $3550 + ($3550 ×2/100 × 6)
= $3550 + (3550 × 2 × 6/100)
= $3550 + (7100 × 6/100)
= $3550 + (42600/100)
= $3550 + $426 = $3976
Thus, Amount (A) to be paid = $3976 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 $3550, the simple interest in 1 year
= 2/100 × 3550
= 2 × 3550/100
= 7100/100 = $71
Thus, simple interest for 1 year = $71
Therefore, simple interest for 6 years
= Simple interest for 1 year × 6
= $71 × 6 = $426
Thus, Simple Interest (SI) = $426
Calculation of Amount
Amount = Principal + Interest
Thus, Amount = $3550 + $426
= $3976
Thus, Amount to be paid = $3976 Answer
Similar Questions
(1) Calculate the amount due if James borrowed a sum of $3000 at 6% simple interest for 4 years.
(2) Calculate the amount due if Richard borrowed a sum of $3600 at 10% simple interest for 3 years.
(3) Lisa took a loan of $6100 at the rate of 10% simple interest per annum. If he paid an amount of $11590 to clear the loan, then find the time period of the loan.
(4) Find the amount to be paid if Michael borrowed a sum of $5300 at 6% simple interest for 7 years.
(5) Calculate the amount due if Patricia borrowed a sum of $3150 at 7% simple interest for 3 years.
(6) How much loan did Jennifer borrow 5 years ago at a rate of simple interest 4% per annum, if he paid $6300 to clear it?
(7) Find the amount to be paid if Christopher borrowed a sum of $6000 at 6% simple interest for 8 years.
(8) William took a loan of $5000 at the rate of 10% simple interest per annum. If he paid an amount of $10000 to clear the loan, then find the time period of the loan.
(9) Lisa took a loan of $6100 at the rate of 10% simple interest per annum. If he paid an amount of $10980 to clear the loan, then find the time period of the loan.
(10) What amount will be due after 2 years if Donald borrowed a sum of $3750 at a 7% simple interest?