If a sum of money doubles itself in 5 years in how many years does it becomes 8 times the original

Correct Answer:

Description for Correct answer:

\( \Large P \left(1 + \frac{R}{100}\right)^{5} = 2P \)

= \( \Large \left(1 + \frac{R}{100}\right)^{5} = 2 \)

Let \( \Large P \left(1 + \frac{R}{100}\right)^{n} = 8P \)

\( \Large \left(1 + \frac{R}{100}\right)^{n} = 8 = 2^{3} \)

Fropm equation (i)

\( \Large \left(1+\frac{R}{100}\right)^{n} = { \left(1+\frac{R}{100}\right)^{5} }^{3} = \left(1+\frac{R}{100}\right)^{15} \)

Therefore, n = 15 years

Part of solved Simple and compound interest questions and answers : >> Aptitude >> Simple and compound interest

Question:

A certain sum of money doubles itself in 5 years at simple interest. In how many years it becomes seven times?

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  • Answered by: Vijay G. from Mumbai
  • If a sum of money doubles itself in 5 years in how many years does it becomes 8 times the original
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Answer:

Let P be the principal

When it doubles in 5 years then SI=P

SI=P*R*T/100

P=P*R*5/100

R=20%

When it becomes 7 times the SI=6P

6P=P*20*T/100

T=30 years

  • Answered by: Harshit T. from Delhi
  • If a sum of money doubles itself in 5 years in how many years does it becomes 8 times the original
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Answer:

An amount doubles itself in 5 years, It means that the becomes equal to the principal. i.e P + P = 2P

Here the rate shall be same for both the cases. 

Let Principal = P, Time = 5 years and Rate = x %

P = (P * 5 * x)/100

x = 20%

Now, for it to become 7 times Interest needs to be 6P

6P = (P * 20 * T) / 100

T = 30 Years

  • Answered by:

    If a sum of money doubles itself in 5 years in how many years does it becomes 8 times the original

    Suchismita R. from Noida
  • If a sum of money doubles itself in 5 years in how many years does it becomes 8 times the original
    Like

Answer:

Let the sum be x Simple interest on x for 5 years = x

SI=P*R*T /100 

x= (xR×5) /100

R=100/ 5

R=20

7x = (x* n* 20)/100

n=70/2

n=35

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At what rate will a sum of money doubles itself in 5 years?

Detailed Solution If a sum doubles itself in 5 years by simple interest. Calculations: Let P be the principal amount and R be the rate of interest. ∴ The rate of simple interest p.a. is 20%.

At what rate a sum doubles itself in 8 years?

According to Simple Interest (S.I) formula. . Where P is principal amount, R is rate of interest and T will be time period. Hence, the rate of interest to double a money in 8 years will be 12.5% per annum.

At what sum doubles itself in 8 years 4 months?

So, rate of interest at which a sum doubles itself in 8 year 4 months is 12%.

How many years will a sum of money double itself?

Given: the sum of money doubles itself. ∴ Time taken is 10 years.