At what rate percent per annum will a sum of money becomes 5 by 4 of itself in 10 years?

Q:

A borrows a sum of ₹2,000 from his friend B on 31 December 2011 on the condition that he will return the same after one year with simple interest at 8% per annum. However, A gets into a position of returning the money on 1 July 2012. How much amount he have to return to B?

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4 9127

Q:

A certain sum was invested on simple interest. The amount to which it had grown in five years was times the amount to which it had grown in three years. The percentage rate of interest was:

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2 782

Q:

A sum of ₹12,000 was taken at simple interest at some rate. After four months, ₹6,000 more was added and the total principal was charged at double the earlier rate of interest. At the end of the year,if the total interest was ₹2,800, what was the initial rate of interest?

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1 7385

Q:

A sum of ₹12,000 was taken at simple interest at some rate. After four months, ₹6,000 more was added and the total principal was charged at double the earlier rate of interest. At the end of the year,if the total interest was ₹2,800, what was the initial rate of

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2 5897

Q:

In how many years will a sum of yield a simple interest of at an interest rate of 10% p.a.?

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6 1984

Q:

In how many years will a sum of yield a simple interest of at an interest rate of 10% p.a.?

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1 1943

Q:

A person invested a total of ₹9,000 in three parts at 3%, 4% and 6% per annum on simple interest. At the end of a year, he received equal interest in all the three cases. The amount invested at 6% is:

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1 3350

At what rate percent per annum simple interest will a sum double itself in 10 years?

Answer

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Hint: - Here we go through by the formula of simple interest that we study in the chapter of simple interest. i.e.$SI = \dfrac{{P \times R \times T}}{{100}}$ . By this formula we will be able to calculate the rate.

Complete step-by-step answer:

Here in the question the principal amount is not given.
So let the principle amount be Rs x.
And according to the question at the end the amount become double that means
Amount=2x.
As we know the simple interest means principle amount subtracted from final amount i.e.
S.I= Amount-Principal amount
S.I=2x-x=x
Here the give time T=1o years
Now put these values in the formula of S.I i.e. $SI = \dfrac{{P \times R \times T}}{{100}}$ We get,
$
   \Rightarrow x = \dfrac{{x \times R \times 10}}{{100}} \\
   \Rightarrow R = \dfrac{1}{{10}} \times 100 \\
  \therefore R = 10\% \\
 $
Hence the required rate in which the sum becomes double itself in 10 years is 10%.

Note: - Whenever we face such a type of question, the key concept for solving the question is to first assume the principal amount because the principal amount is not given and then proceed with the question to find the S.I. Then by putting the formula of S.I we will get the terms which we need to find.

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