How many years does a sum of money doubles itself in 7 years?
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.
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.
HenceTime=x×100x×12=8Years4months.
Let the Principal be 100. Rate = 100/10 = 10%. ∴ The rate of interest is 10%. ∴ The rate of interest is 10%.
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 (1.107.3 = 2).
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.
⇒T=1008=12.5 years.
A = R s 2 P S I = A - P = 2 P - P = P R = S I × 100 P × T = P × 100 P × 7 = 100 7 %
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.
How many years will a sum of money double itself at 12.5 interest?
Answer is r=100/n. Therefore r=100/8=12.5%. So if I invest in a scheme which gives me 12.5% simple interest I will be able to double my money in 8 years.
Answer: It takes 14.2 years for the amount to double itself.
⇒N=16 years. A sum of money, lent out at simple interest, doubles itself in 8 years. Find in how many years will the sum become triple (three times) of itself at the same rate per cent ?
According to the question, the principal amount will double in 14 years. Hence, the rate of compound interest per annum at which the sum of money will double in 14 years is 5%.
The correct Answer is:1623%
Assuming long-term market returns stay more or less the same, the Rule of 72 tells us that you should be able to double your money every 7.2 years.
The value 72 is a convenient choice of numerator, since it has many small divisors: 1, 2, 3, 4, 6, 8, 9, and 12. It provides a good approximation for annual compounding, and for compounding at typical rates (from 6% to 10%); the approximations are less accurate at higher interest rates.
One of those tools is known as the Rule 72. For example, let's say you have saved $50,000 and your 401(k) holdings historically has a rate of return of 8%. 72 divided by 8 equals 9 years until your investment is estimated to double to $100,000.
The rule is this: 72 divided by the interest rate number equals the number of years for the investment to double in size. For example, if the interest rate is 12%, you would divide 72 by 12 to get 6. This means that the investment will take about 6 years to double with a 12% fixed annual interest rate.
Very few investors know how long it takes to double their money. Rule of 72 can be of help. Divide 72 by the expected rate of return and the answer is the number of years required to double your money. For example, if a bond offers 6 percent rate of interest per year, then you will double your money in 12 years.
What is the Rule of 72 and 69?
The Rule of 72 states that by dividing 72 by the annual interest rate, you can estimate the number of years required for an investment to double. The Rule of 69.3 is a more accurate formula for higher interest rates and is calculated by dividing 69.3 by the interest rate.
Therefore, at same Simple interest rate, amount will be 10 times in 22. 5 years.
Expert-Verified Answer
Rate = 8% p.a. = 50 Years. The answer is 50 years.
Hence, the time required to double the sum of money at 6 1/4% simple interest per annum is 16 years.
The correct Answer is:21. Step by step video, text & image solution for A sum of money doubles itself in 7 years.
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