Question

the principal at a certain rate of interest doubles in 5 years by the simple interest, in how many years,the same principal with the same rate of interest becomes five times?


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Answer 1

Answer:

5th year= 2

10th year=3

15th year=4

20th year=5

Answer= 20 years

Answer 2

In 20 years, the principal becomes five times.

Step-by-step explanation:

Since we have given that

the principal at a certain rate of interest doubles in 5 years by the simple interest,

So, Sum = P

Amount = 2P

Simple interest = 2P - P = P

Number of years = 5

So, it becomes,

$P=\dfrac{P\times 5\times R}{100}\\\\R=20\%$

If the principal becomes 5 times.

So, sum = P

Amount = 5P

Simple interest = 5P - P = 4P

So, it becomes,

$4P=\dfrac{P\times 20\times t}{100}\\\\20=t$

Hence, in 20 years, the principal becomes five times.

# learn more:

The principal , at a certain rate of interest, doubles in 5 years by the simple interest. In how many years, the same principal with the same rate of interest becomes five times? ​

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