Question:
What amount does John have to pay after 5 years if he takes a loan of $3200 at 10% simple interest?
Correct Answer
$4800
Solution And Explanation
Solution
Given,
Principal (P) = $3200
Rate of Simple Interest (SI) = 10%
Time (t) = 5 years
Thus, Amount (A) = ?
The Rate of Interest is always calculated per annum, i.e. per year.
Thus, here 10% simple interest means, Rate of Simple Interest (SI) is 10% 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) = $3200 × 10% × 5
= $3200 ×10/100 × 5
= 3200 × 10 × 5/100
= 32000 × 5/100
= 160000/100
= $1600
Thus, Simple Interest = $1600
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 = $3200 + $1600
= $4800
Thus, Amount to be paid = $4800 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 = $3200
Rate of Simple Interest (SI) or (R) = 10%
And, Time (t) = 5 years
Thus, Amount (A)
= $3200 + ($3200 × 10% × 5)
= $3200 + ($3200 ×10/100 × 5)
= $3200 + (3200 × 10 × 5/100)
= $3200 + (32000 × 5/100)
= $3200 + (160000/100)
= $3200 + $1600 = $4800
Thus, Amount (A) to be paid = $4800 Answer
Method (3) Unitary Method
Calculation of Amount using Unitary Method
Calculation of Interest using Unitary Method
Here, given Rate of Simple Interest = 10%
This, means, $10 per $100 per year
∵ For $100, the simple interest for 1 year = $10
∴ For $1, the simple interest for 1 year = 10/100
∴ For $3200, the simple interest in 1 year
= 10/100 × 3200
= 10 × 3200/100
= 32000/100 = $320
Thus, simple interest for 1 year = $320
Therefore, simple interest for 5 years
= Simple interest for 1 year × 5
= $320 × 5 = $1600
Thus, Simple Interest (SI) = $1600
Calculation of Amount
Amount = Principal + Interest
Thus, Amount = $3200 + $1600
= $4800
Thus, Amount to be paid = $4800 Answer
Similar Questions
(1) Daniel took a loan of $6200 at the rate of 6% simple interest per annum. If he paid an amount of $9920 to clear the loan, then find the time period of the loan.
(2) Find the amount to be paid if Jennifer borrowed a sum of $5250 at 9% simple interest for 8 years.
(3) Calculate the amount due if Jennifer borrowed a sum of $3250 at 6% simple interest for 4 years.
(4) Daniel took a loan of $6200 at the rate of 6% simple interest per annum. If he paid an amount of $8804 to clear the loan, then find the time period of the loan.
(5) If Jennifer paid $3770 to settle his loan which he had taken 4 years before at a simple interest of 4%, then find the loan taken.
(6) Find the amount to be paid if Patricia borrowed a sum of $5150 at 9% simple interest for 7 years.
(7) John took a loan of $4400 at the rate of 6% simple interest per annum. If he paid an amount of $5984 to clear the loan, then find the time period of the loan.
(8) What amount does John have to pay after 5 years if he takes a loan of $3200 at 3% simple interest?
(9) How much loan did Sarah borrow 5 years ago at a rate of simple interest 2% per annum, if he paid $6435 to clear it?
(10) What amount does Linda have to pay after 6 years if he takes a loan of $3350 at 5% simple interest?