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Hint: Simple interest is interest calculated on the principal portion of a loan or the original contribution to a saving account. The formula for the simple interest is $S.I. = \dfrac{{P \times R \times T}}{{100}}$. We are going to use the term Amount $A$ in the solution and it stands for sum of simple interest and the principal. It is the amount to which the borrower has to pay after a particular time. Complete step by step solution:Simple Interest = $S.I.$ (in
Rupees) Hence, the time required to triple the principal is $t = 20$ years. Note: Generally the interest is of two types either simple or compounded. Simple interest is based on the principal amount of a loan or deposit. In contrast, compound interest is based on the principal amount and the interest that accumulates on it in every period.
Let the sum of money be x Amount = 3 × Rs x = Rs 3x Interest = Amount – Principal = Rs 3x – Rs x = Rs 2x Rate =13 \frac{1}{3} \% \text { p.a. } = 40 / 3 % p.a. Time (T) = (I × 100) / (P × R) = (2x × 100) / x × (40 / 3) years On further calculation, we get, = (2 × 100 × 3) / 40 years = (100 × 3) / 20 years We get, = 5 × 3 years = 15 years At what rate of interest does a simple interest rate triple in 10 years?⇒R=20%
At what rate of interest compounded annually will an investment triple in 10 years?Therefore, the interest rate that will triple the investment is 11.61%.
In what time simple interest will a sum of money triples itself at 10%?⇒T=x×152x×100=340=13. 3 years.
In what duration a sum will be tripled at 10% per annum on simple interest?Now the amount is tripled. So 10+10=20 years.
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