Question : If a sum is invested at simple interest, then it becomes $\frac{3}{2}$ of itself in 4 years. What is the annual rate of interest?
Option 1: 6.5 percent
Option 2: 12.5 percent
Option 3: 17.5 percent
Option 4: 10 percent
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Correct Answer: 12.5 percent
Solution : The sum becomes $\frac{3}{2}$ times itself in 4 years ⇒ $P +\frac{P×R×T}{100} = \frac{3}{2}$$P$ ⇒ $P+\frac{P×R×4}{100} = \frac{3}{2}$$P$ ⇒ $1+\frac{R×4}{100} = \frac{3}{2}$ ⇒ $\frac{R×4}{100} = \frac{1}{2}$ ⇒ R = $\frac{1}{2} × \frac{100}{4}$ ⇒ R = $\frac{25}{2}$ = 12.5% Hence, the correct answer is 12.5 percent.
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Question : After 55 years, a sum invested at simple interest at the rate of $r$ percent becomes twice of itself. What is the value of $r$?
Option 1: $\frac{17}{20}\%$
Option 2: $\frac{11}{30}\%$
Option 3: $\frac{13}{15}\%$
Option 4: $\frac{20}{11}\%$
Question : If a certain sum of money becomes double of itself in 3 years and 6 months at simple interest, then what will be the annual rate of interest?
Option 1: 22.5 percent
Option 2: 28.57 percent
Option 3: 30.53 percent
Option 4: 26.57 percent
Question : A sum was doubled with a 12.5% rate of simple interest per annum. Then time taken for that sum to be doubled is:
Option 1: $8\frac{1}{2}$ years
Option 2: 8 years
Option 3: 10 years
Option 4: $12\frac{1}{2}$ years
Question : If the period increases by 5 years, then simple interest increases by Rs. 3600 on a sum of Rs. 6000. What is the annual rate of interest?
Option 1: 15 percent
Option 2: 12 percent
Option 3: 12.5 percent
Question : A, Rs 6,000 is invested at simple interest for 5 years and the annual rate of interest is 15 percent. B, Rs. 5,000 is invested at simple interest for 2 years and the annual rate of interest is 20 percent. What is the ratio of interests earned in A and B respectively?
Option 1: 19 : 12
Option 2: 9 : 4
Option 3: 16 : 5
Option 4: 18 : 11
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