Simple Interest
MCQs Math


Question:     Find the amount to be paid if John borrowed a sum of $5200 at 8% simple interest for 7 years.


Correct Answer  $8112

Solution And Explanation

Solution

Given,

Principal (P) = $5200

Rate of Simple Interest (SI) = 8%

Time (t) = 7 years

Thus, Amount (A) = ?

The Rate of Interest is always calculated per annum, i.e. per year.

Thus, here 8% simple interest means, Rate of Simple Interest (SI) is 8% 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) = $5200 × 8% × 7

= $5200 ×8/100 × 7

= 5200 × 8 × 7/100

= 41600 × 7/100

= 291200/100

= $2912

Thus, Simple Interest = $2912

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 = $5200 + $2912

= $8112

Thus, Amount to be paid = $8112 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 = $5200

Rate of Simple Interest (SI) or (R) = 8%

And, Time (t) = 7 years

Thus, Amount (A)

= $5200 + ($5200 × 8% × 7)

= $5200 + ($5200 ×8/100 × 7)

= $5200 + (5200 × 8 × 7/100)

= $5200 + (41600 × 7/100)

= $5200 + (291200/100)

= $5200 + $2912 = $8112

Thus, Amount (A) to be paid = $8112 Answer

Method (3) Unitary Method

Calculation of Amount using Unitary Method

Calculation of Interest using Unitary Method

Here, given Rate of Simple Interest = 8%

This, means, $8 per $100 per year

∵ For $100, the simple interest for 1 year = $8

∴ For $1, the simple interest for 1 year = 8/100

∴ For $5200, the simple interest in 1 year

= 8/100 × 5200

= 8 × 5200/100

= 41600/100 = $416

Thus, simple interest for 1 year = $416

Therefore, simple interest for 7 years

= Simple interest for 1 year × 7

= $416 × 7 = $2912

Thus, Simple Interest (SI) = $2912

Calculation of Amount

Amount = Principal + Interest

Thus, Amount = $5200 + $2912

= $8112

Thus, Amount to be paid = $8112 Answer


Similar Questions

(1) What amount does Barbara have to pay after 6 years if he takes a loan of $3550 at 8% simple interest?

(2) Calculate the amount due after 10 years if Linda borrowed a sum of $5350 at a rate of 5% simple interest.

(3) Find the amount to be paid if John borrowed a sum of $5200 at 9% simple interest for 7 years.

(4) Calculate the amount due if Joseph borrowed a sum of $3700 at 5% simple interest for 3 years.

(5) Calculate the amount due if Elizabeth borrowed a sum of $3450 at 7% simple interest for 3 years.

(6) Lisa took a loan of $6100 at the rate of 7% simple interest per annum. If he paid an amount of $8662 to clear the loan, then find the time period of the loan.

(7) Karen took a loan of $5900 at the rate of 8% simple interest per annum. If he paid an amount of $10620 to clear the loan, then find the time period of the loan.

(8) How much loan did Timothy borrow 5 years ago at a rate of simple interest 2% per annum, if he paid $8140 to clear it?

(9) Lisa took a loan of $6100 at the rate of 6% simple interest per annum. If he paid an amount of $8296 to clear the loan, then find the time period of the loan.

(10) How much loan did James borrow 5 years ago at a rate of simple interest 4% per annum, if he paid $6000 to clear it?


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