How long will a sum of money invested at 5% per annum si take to increase its value by 50 %?

Calculation: Let the sum of money be P. Now, Let the time period be t. 4 The time is 25 years

Show

How long will it take for an amount to become 5 times of itself in 20% per annum simple interest?

Answer. Answer: the answer is five years

How long would take for a sum of money to become 5 times of itself at 20 %; per month simple rate of interest?

4 It takes 25 years to become 5 times Learn today!

At what rate of interest a sum becomes 5 times of it in 20 years on SI?

Let after t years, the sum will become 5 times of itself . Rate 20 % p.a. So, SI Rs 5x- x Rs 4x . 5/4 years

How long will it take a sum of money invested at 5% per annum simple interest to increase its value by 40%?

4 It takes 25 years to become 5 times Learn today!

In what time does a sum becomes 5 times at the simple interest at rate of 5% per annum?

Thus, it will take 8 years.

In what time will a sum of money earn equal interest to itself at 5% per annum?

Answer. Hence, the correct answer is 11%

In what time does a sum become 5 time at the simple interest at rate of 5% per annum?

4 It takes 25 years to become 5 times Learn today!

In what time the simple interest will be 5 times of sum of money invested at 20% per annum?

Answer. Hence, the correct answer is 11%

At what rate of interest per annum will a sum 3 times in 5 years at SI?

Calculation: Let the sum of money be P. Now, Let the time period be t. 4 The time is 25 years

How long would it take for a sum of money to become 5 times of itself at 20% monthly simple interest rate?

Answer. Answer: the answer is five years

At what rate of simple interest does a sum of money becomes five times of itself in 12 years?

Let after t years, the sum will become 5 times of itself . Rate 20 % p.a. So, SI Rs 5x- x Rs 4x . 5/4 years

At what rate of interest per annum will a sum become 5 times in 20 years at simple interest?

x26lt;brx26gt; We have simple interest `(PTR)/(100)`. x26lt;brx26gt; `rArr 4x (x xx n xx 20)/(100)` x26lt;brx26gt; `rArr 4 (n)/(5) rArr n 20` x26lt;brx26gt; `therefore` In 20 years, the sum becomes 5 times itself. x26lt;brx26gt; Hence, the correct option is (a).

How long will it take for an amount to become 5 times of itself at 20 per annum simple interest?

Answer. Answer: the answer is five years

At what rate of interest per annum will a sum become 4 times in 20 years at simple interest?

The money becomes 4 times in 20 years. So, SI in 20 years 4x – x 3x. So, the rate of interest is 15%

How long will it take a sum of money invested at 6% per annum on simple interest to increase its value by 50%?

Given: Rate of simple interest 6% p.a. 4 The required time is 8 1 3 years

How long will it take money to triple itself if invested at 5% simple interest rate?

Given: The sum of money triples itself. 4 The number of years by which a sum will triple itself at 5% p.a is 40 years

In what time does a sum of money become four times at simple interest of 5% per annum?

Hence a sum of money become four times at the simple interest rate of 5% per annum in 60 years .

How long will it take a sum of money to become 5 times of itself at 20% pa simple interest?

Answer. Answer: the answer is five years

How long it will take a sum of money invested at 5% per annum simple interest to increase its value by 40%?

Thus, it will take 8 years.

What is the sum on which the simple interest for 5 years at the rate of 25 by 4% per annum is rupees 125?

100 becomes 500; RateTimeInterest1240033.3% Was this answer helpful?

How long will take a sum of money invested at 5% per annum so as its simple interest to increase its value by 40%?

Thus, it will take 8 years.

At what time a sum of money triples itself at 5% per annum?

40 years

In what time will a sum of money 4 times itself at simple interest 5% per annum?

Hence a sum of money become four times at the simple interest rate of 5% per annum in 60 years .

At what rate of simple interest per annum will a sum of money will become 5 times in 20 years?

x26lt;brx26gt; We have simple interest `(PTR)/(100)`. x26lt;brx26gt; `rArr 4x (x xx n xx 20)/(100)` x26lt;brx26gt; `rArr 4 (n)/(5) rArr n 20` x26lt;brx26gt; `therefore` In 20 years, the sum becomes 5 times itself. x26lt;brx26gt; Hence, the correct option is (a).

Compound Interest: The future value (FV) of an investment of present value (PV) dollars earning interest at an annual rate of r compounded m times per year for a period of t years is:

FV = PV(1 + r/m)mtor

FV = PV(1 + i)n

where i = r/m is the interest per compounding period and n = mt is the number of compounding periods.

One may solve for the present value PV to obtain:

PV = FV/(1 + r/m)mt

Numerical Example: For 4-year investment of $20,000 earning 8.5% per year, with interest re-invested each month, the future value is

FV = PV(1 + r/m)mt   = 20,000(1 + 0.085/12)(12)(4)   = $28,065.30

Notice that the interest earned is $28,065.30 - $20,000 = $8,065.30 -- considerably more than the corresponding simple interest.

Effective Interest Rate: If money is invested at an annual rate r, compounded m times per year, the effective interest rate is:

reff = (1 + r/m)m - 1.

This is the interest rate that would give the same yield if compounded only once per year. In this context r is also called the nominal rate, and is often denoted as rnom.

Numerical Example: A CD paying 9.8% compounded monthly has a nominal rate of rnom = 0.098, and an effective rate of:

r eff =(1 + rnom /m)m   =   (1 + 0.098/12)12 - 1   =  0.1025.

Thus, we get an effective interest rate of 10.25%, since the compounding makes the CD paying 9.8% compounded monthly really pay 10.25% interest over the course of the year.

Mortgage Payments Components: Let where P = principal, r = interest rate per period, n = number of periods, k = number of payments, R = monthly payment, and D = debt balance after K payments, then

R = P r / [1 - (1 + r)-n]

and

D = P (1 + r)k - R [(1 + r)k - 1)/r]

Accelerating Mortgage Payments Components: Suppose one decides to pay more than the monthly payment, the question is how many months will it take until the mortgage is paid off? The answer is, the rounded-up, where:

n = log[x / (x � P r)] / log (1 + r)

where Log is the logarithm in any base, say 10, or e.

Future Value (FV) of an Annuity Components: Ler where R = payment, r = rate of interest, and n = number of payments, then

FV = [ R(1 + r)n - 1 ] / r

Future Value for an Increasing Annuity: It is an increasing annuity is an investment that is earning interest, and into which regular payments of a fixed amount are made. Suppose one makes a payment of R at the end of each compounding period into an investment with a present value of PV, paying interest at an annual rate of r compounded m times per year, then the future value after t years will be

FV = PV(1 + i)n + [ R ( (1 + i)n - 1 ) ] / i where i = r/m is the interest paid each period and n = m t is the total number of periods.

Numerical Example: You deposit $100 per month into an account that now contains $5,000 and earns 5% interest per year compounded monthly. After 10 years, the amount of money in the account is:

FV = PV(1 + i)n + [ R(1 + i)n - 1 ] / i =
5,000(1+0.05/12)120 + [100(1+0.05/12)120 - 1 ] / (0.05/12) = $23,763.28

Value of a Bond:

V is the sum of the value of the dividends and the final payment.

You may like to perform some sensitivity analysis for the "what-if" scenarios by entering different numerical value(s), to make your "good" strategic decision.

Replace the existing numerical example, with your own case-information, and then click one the Calculate.

How long will it take for an investment to double at 5% per year using simple interest?

If you want to double your money in five years, divide 72 by five. According to the Rule of 72, it would take about 14.4 years to double your money at 5% per year.

How long will it take a sum of money invested at 6% pa on simple interest to increase its value by 50 %?

Detailed Solution. Given: Rate of simple interest = 6% p.a. ∴ The required time is 8 1 3 years.

In what time will a sum of money earn equal interest to itself at 5% per annum?

time = si × 100 / R × P 100× 100 / 5 × 100 = 20 years .

How many years will it take for a certain sum of money invested at an 8%?

A sum of money invested at 8% per annum amounts to Rs. 12,122 in years.