At what rate percent simple interest will a certain sum of money doubles itself in 20 years

Question

At what percent by simple interest will a sum of money double itself in 5 years 4 months?

Hint:

Use the formula of total amount and then find the rate of interest R.

The correct answer is: 18.75%

    Complete step by step solution:
    Formula for total amount = A = P + SI…(i)
    where A is the total amount, P is the principal amount and SI is simple interest .
    Here, A = 2P and SI = 
    where P is Principal amount, T is number of years and R is the rate of interest.
    We have, T = 5 years and 4 months =  years (given) and R = ?
    On substituting the known values in (i), we have .
    Subtract P from both sides.
    Then we have, 

    So, we have R = 18.75%
    At 18.75% per annum the sum amount will double itself in 5 years and 4 months.


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    At what rate percent will a sum double itself in 20 years of simple interest?

    Hence, R = 5%.

    At what rate of simple interest will a sum triples itself in 20 years?

    R=12. 5%

    At what rate of simple interest will a sum of money doubles itself in 25 years?

    Detailed Solution The Sum of money doubles itself in 25 years. Concept: Simple interest is the interest calculated on the principal portion of the loan or the original contribution to the saving account. ∴ The rate of interest per annum is 4%.

    At what rate of simple interest will a sum of money doubles itself in 15 years?

    Therefore, r=12100=831percent.

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