Question : A sum triple itself in 9 years at simple interest. Find the rate of interest per annum.
Option 1: $38 \frac{2}{9}$%
Option 2: $33 \frac{1}{3}$%
Option 3: $27 \frac{1}{9}$%
Option 4: $22 \frac{2}{9}$%
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Correct Answer: $22 \frac{2}{9}$%
Solution : Let P be the principal and R be the rate of interest. Total amount = 3P Simple interest, SI = 3P – P = 2P Term, n = 9 years So, SI = $\frac{PnR}{100}$ ⇒ 2P = $\frac{P×9×R}{100}$ ⇒ R = $\frac{200}{9}$ = $22\frac{2}{9}$% Hence, the correct answer is $22\frac{2}{9}$%.
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Question : At what rate of simple interest per annum will a sum of money triple itself in 16 years?
Option 1: 11.5%
Option 2: 11%
Option 3: 12%
Option 4: 12.5%
Question : What is the rate of interest per annum for simple interest at which Rs. 880 amounts to Rs. 913 in $1 \frac{1}{2}$ years?
Option 1: $2 \frac{2}{3}$%
Option 2: $2 \frac{1}{4}$%
Option 3: $2 \frac{1}{2}$%
Option 4: $2 \frac{1}{3}$%
Question : A certain sum amounts to INR 3,640 in 2 years and INR 4,060 in 8 years at simple interest. Find the approximate rate percentage per annum.
Option 1: 4%
Option 2: 2%
Option 3: 1%
Option 4: 3%
Question : A person borrowed some money at simple interest. After 4 years, he returned $\frac{9}{5}$th of the money to the lender. What was the rate of interest?
Option 1: 25% per annum
Option 2: 10% per annum
Option 3: 15% per annum
Option 4: 20% per annum
Question : In how many years will a sum of Rs. 3000 yield an interest of Rs.1080 at 12% per annum simple interest?
Option 1: $4$ years
Option 2: $3$ years
Option 3: $5$ years
Option 4: $2\frac{1}{2}$ years
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