Question:
Calculate the amount due if David borrowed a sum of $3400 at 7% simple interest for 4 years.
Correct Answer
$4352
Solution And Explanation
Solution
Given,
Principal (P) = $3400
Rate of Simple Interest (SI) = 7%
Time (t) = 4 years
Thus, Amount (A) = ?
The Rate of Interest is always calculated per annum, i.e. per year.
Thus, here 7% simple interest means, Rate of Simple Interest (SI) is 7% 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) = $3400 × 7% × 4
= $3400 ×7/100 × 4
= 3400 × 7 × 4/100
= 23800 × 4/100
= 95200/100
= $952
Thus, Simple Interest = $952
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 = $3400 + $952
= $4352
Thus, Amount to be paid = $4352 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 = $3400
Rate of Simple Interest (SI) or (R) = 7%
And, Time (t) = 4 years
Thus, Amount (A)
= $3400 + ($3400 × 7% × 4)
= $3400 + ($3400 ×7/100 × 4)
= $3400 + (3400 × 7 × 4/100)
= $3400 + (23800 × 4/100)
= $3400 + (95200/100)
= $3400 + $952 = $4352
Thus, Amount (A) to be paid = $4352 Answer
Method (3) Unitary Method
Calculation of Amount using Unitary Method
Calculation of Interest using Unitary Method
Here, given Rate of Simple Interest = 7%
This, means, $7 per $100 per year
∵ For $100, the simple interest for 1 year = $7
∴ For $1, the simple interest for 1 year = 7/100
∴ For $3400, the simple interest in 1 year
= 7/100 × 3400
= 7 × 3400/100
= 23800/100 = $238
Thus, simple interest for 1 year = $238
Therefore, simple interest for 4 years
= Simple interest for 1 year × 4
= $238 × 4 = $952
Thus, Simple Interest (SI) = $952
Calculation of Amount
Amount = Principal + Interest
Thus, Amount = $3400 + $952
= $4352
Thus, Amount to be paid = $4352 Answer
Similar Questions
(1) Jennifer took a loan of $4500 at the rate of 6% simple interest per annum. If he paid an amount of $6660 to clear the loan, then find the time period of the loan.
(2) What amount does Linda have to pay after 6 years if he takes a loan of $3350 at 8% simple interest?
(3) Calculate the amount due after 9 years if Barbara borrowed a sum of $5550 at a rate of 5% simple interest.
(4) Calculate the amount due if Elizabeth borrowed a sum of $3450 at 8% simple interest for 4 years.
(5) Find the amount to be paid if James borrowed a sum of $5000 at 4% simple interest for 8 years.
(6) Find the amount to be paid if Joseph borrowed a sum of $5700 at 7% simple interest for 8 years.
(7) If Donna paid $5238 to settle his loan which he had taken 4 years before at a simple interest of 2%, then find the loan taken.
(8) If Margaret paid $5220 to settle his loan which he had taken 4 years before at a simple interest of 5%, then find the loan taken.
(9) What amount will be due after 2 years if Christopher borrowed a sum of $3500 at a 9% simple interest?
(10) Jessica took a loan of $5500 at the rate of 7% simple interest per annum. If he paid an amount of $7810 to clear the loan, then find the time period of the loan.