In what time does a sum of money becomes triple the amount at a simple interest of 10% per annum?

hello everyone the sum is a sum of money lent out at simple interest Doubles itself in 8 years find the rate of interest and then in how many years will the sum become triple of itself at the same rate percent let's Tata solution some money will become double itself in 8 years and we have to find the rate of interest so let principal is equal to rupees X itself in 8 years so amount after 18 years will become 2x time is 8 years now we know that interest is equal to amount -

principal interest is amount - principal therefore it is 2 x minus x so interest is equal to rupees interest is equal to Pintu are into it upon hundred year interest is equal to x x x x x v have to find rate of interest and time is here a tear upon hundred hundred x upon x is equal to rate of interest after solving this we get our is equal to 12.5% per annum so rate of interest is 12.5% per annum are to be want to find the time when the money will triple itself at the same rate of interest

so hair principal is again Rupees at the amount will become triple itself then amount is equal to rupees CX rate of interest so rate of interest is 12.5% per annum and we want to find the time we know that again interest is equal to amount - principal hair amount is 3x and principal money is egg so interest is rupees 2x we know that interest is equal to p into our into it upon hundred where interest is to a principal is rate of interest is

12.5 and we want to find the time upon hundred now to X X hundred upon 12.5 into x is equal to tea after solving all this week at t is equal to 16 years after 16 years principal money will become triple itself thank you

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]

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)

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.

At what time at simple interest will a sum of money triples itself at 10?

How long will it take a sum to triple itself at the rate of 10% compounded semi annually?

What time a sum of money will triples itself at a rate of simple interest of 4% per annum?

In what time will a sum of money becomes three times at a simple interest?