Question : In how many least number of complete years will a sum of money become more than four times itself at the rate of 14% per annum on simple interest?
Option 1: 20 years
Option 2: 25 years
Option 3: 29 years
Option 4: 22 years
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Correct Answer: 22 years
Solution : Let the required time be $T$ years and the principle be Rs. $P$. Now, the amount becomes $4P$. So, the total interest ($I$) = $4P-P$ = $3P$ The rate of simple interest ($R$) = 14% We know, $I=\frac{P×R×T}{100}$ ⇒ $3P=\frac{P×14×T}{100}$ ⇒ $T=\frac{3×100}{14}$ ⇒ $T \approx 21.43$ So, the required least number of complete years is 22. Hence, the correct answer is 22 years.
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Question : At a certain rate of interest per annum, compounded annually, a certain sum of money amounts to two times itself in 11 years. In how many years will the sum of money amount to four times itself at the previous rate of interest per annum, also compounded annually?
Option 2: 5.5 years
Option 3: 22 years
Option 4: 33 years
Question : A certain sum of money amounts to 3 times itself in 13 years when interest is compounded annually at a certain interest rate per annum. In how many years will the initial sum amount to 9 times itself at the same interest rate per annum, also compounded annually?
Option 1: 32 years
Option 2: 26 years
Option 3: 30 years
Option 4: 20 years
Question : What is the approximate rate of simple interest per annum, if a sum of money becomes 6 times of itself in 15 years?
Option 1: 30%
Option 2: 2.5%
Option 3: 33.33%
Option 4: 25%
Question : At a certain rate of simple interest per annum, a certain sum amounts to INR 24,000 in 7 years and to INR 32,000 in 12 years. What is the rate of simple interest paid per annum?
Option 1: 15%
Option 2: 25%
Option 3: 12.5%
Option 4: 20%
Question : A sum of INR 2000 will become INR 2400 in 12 months at some rate of simple interest. Find the rate of interest per annum.
Option 1: 25%
Option 2: 20%
Option 3: 40%
Option 4: 45%
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