A sum of money doubles itself in 7 years. In how many years it will be (2024)

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A sum of money doubles itself in 7 years. In how many years it will be? ›

nm97 wrote: A sum of money doubles itself in 7 years. In how many years it becomes four fold? If the initial amount of money is x dollars, then 7 years later, it will be 2x dollars, and in another 7 years, it will be 4x dollars. Thus, it takes 14 years to quadruple the initial amount money.

CONCEPT: Simple interest concept. Now, we want the money to be quadruple i.e. 4 times. ∴ The money will quadruple itself in 21 years.

1 At 10%, you could double your initial investment every seven years (72 divided by 10). In a less-risky investment such as bonds, which have averaged a return of about 5% to 6% over the same period, you could expect to double your money in about 12 years (72 divided by 6).

⇒ R = 100/8 = 12.5% per annum.

Hence,in 15 Years amount to eight times itself.

All you do is divide 72 by the fixed rate of return to get the number of years it will take for your initial investment to double. You would need to earn 10% per year to double your money in a little over seven years.

Equities also typically offer appealing long term expected returns. On a 7% expected return, the doubling time falls to a decade. These are not forecasts, but the rule of 72 is a handy way to take a financial measure, like a rate of interest, and translate it into something which many people will find more tangible.

How the Rule of 72 Works. For example, the Rule of 72 states that $1 invested at an annual fixed interest rate of 10% would take 7.2 years ((72 ÷ 10) = 7.2) to grow to $2. In reality, a 10% investment will take 7.3 years to double (1.10^7.3 = 2). The Rule of 72 is reasonably accurate for low rates of return.

72 ∕ 8 = 9, so it will take about 9 years to double your money. A 10% interest rate will double your investment in about 7 years (72 ∕ 10 = 7.2); an amount invested at a 12% interest rate will double in about 6 years (72 ∕ 12 = 6).

The Rule of 72 is a calculation that estimates the number of years it takes to double your money at a specified rate of return. If, for example, your account earns 4 percent, divide 72 by 4 to get the number of years it will take for your money to double. In this case, 18 years.

What is a sum of money which doubles itself in 10 years? ›

Let the Principal be 100. Rate = 100/10 = 10%. ∴ The rate of interest is 10%. ∴ The rate of interest is 10%.

For example, if an investment scheme promises an 8% annual compounded rate of return, it will take approximately nine years (72 / 8 = 9) to double the invested money. Note that a compound annual return of 8% is plugged into this equation as 8, and not 0.08, giving a result of nine years (and not 900).

HenceTime=x×100x×12=8Years4months.

The time required for a sum of money to double at 5% annum compounded continuously is (in years) 13.9.

If you earn 7%, your money will double in a little over 10 years. You can also use the Rule of 72 to plug in interest rates from credit card debt, a car loan, home mortgage, or student loan to figure out how many years it'll take your money to double for someone else.

The Rule of 72 is a calculation that estimates the number of years it takes to double your money at a specified rate of return. If, for example, your account earns 4 percent, divide 72 by 4 to get the number of years it will take for your money to double. In this case, 18 years.