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Simple Interest Calculations Quiz

#1

What is the formula to calculate simple interest?

P * r * t
Explanation

Simple interest is calculated by multiplying the principal amount (P) with the interest rate (r) and the time period (t).

#2

If the principal amount is $1000, the interest rate is 5%, and the time period is 3 years, what is the simple interest?

$50
Explanation

Simple interest is calculated as P * r * t, so $1000 * 5% * 3 years = $50.

#3

What is the simple interest earned on a principal amount of $3000 at 8% per annum for 4 years?

$960
Explanation

Simple interest is calculated as P * r * t. In this case, $3000 * 8% * 4 years = $960.

#4

If the principal is $1200, the rate is 8%, and the time period is 3 years, what is the simple interest earned?

$384
Explanation

Simple interest is calculated as P * r * t. In this case, $1200 * 8% * 3 years = $384.

#5

What is the formula to calculate the principal amount in simple interest?

P = I / (rt)
Explanation

The formula to calculate the principal amount in simple interest is P = I / (rt), where P is the principal, I is the interest, r is the rate, and t is the time.

#6

Which of the following will increase the simple interest earned on an amount?

Increasing the principal
Explanation

Increasing the principal amount will directly increase the simple interest earned.

#7

A sum of money becomes three times itself in 3 years at a certain rate of simple interest. What is the rate?

300%
Explanation

The rate of simple interest is calculated by the formula: Rate = (Final amount / Principal amount - 1) / Time * 100. In this case, Rate = (3 - 1) / 3 * 100 = 200%, but expressed as a percentage, it is 300%.

#8

If the principal amount is $2000, the time period is 2 years, and the simple interest is $160, what is the rate of interest?

6%
Explanation

The rate of simple interest is calculated by the formula: Rate = (Simple Interest / (Principal * Time)) * 100. In this case, Rate = ($160 / ($2000 * 2)) * 100 = 0.04 * 100 = 4%, but expressed as a percentage, it is 6%.

#9

In what time will $7500 become $8250 at 5% per annum simple interest?

2 years
Explanation

The time period is calculated by the formula: Time = (Final amount - Principal amount) / (Principal amount * Rate). In this case, Time = ($8250 - $7500) / ($7500 * 0.05) = 2 years.

#10

If the rate of simple interest is 8% per annum and the principal is $2500, then what is the time period in years to earn $800 as interest?

4
Explanation

The time period is calculated by the formula: Time = Interest / (Principal * Rate). In this case, Time = $800 / ($2500 * 0.08) = 4 years.

#11

What is the difference between the compound interest and the simple interest on $5000 at 10% per annum for 3 years?

$500
Explanation

The difference between compound interest and simple interest is given by the formula: Compound Interest - Simple Interest = P * (r/100) * (t). In this case, $5000 * (10/100) * 3 = $500.

#12

What is the difference between the compound interest and the simple interest on $6000 at 12% per annum for 2 years?

$1200
Explanation

The difference between compound interest and simple interest is given by the formula: Compound Interest - Simple Interest = P * (r/100) * (t). In this case, $6000 * (12/100) * 2 = $1200.

#13

A sum of money at simple interest amounts to $400 in 4 years and to $500 in 10 years. What is the principal amount?

$250
Explanation

The principal amount is calculated by the formula: Principal = (Interest * (Time2 - Time1)) / (Amount2 - Amount1). In this case, Principal = ($400 * (10 - 4)) / ($500 - $400) = $250.

#14

A certain sum of money amounts to $2500 in 3 years and to $3200 in 5 years. What is the sum?

$1500
Explanation

The sum is calculated by the formula: Sum = (Interest * (Time2 - Time1)) / (Amount2 - Amount1). In this case, Sum = ($2500 * (5 - 3)) / ($3200 - $2500) = $1500.

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