Question : For what sum will the simple interest at $R$% per annum for 2 years be $R$?
Option 1: Rs. $\frac{100}{2R}$
Option 2: Rs. $50$
Option 3: Rs. $\frac{100}{R}$
Option 4: Rs.$\frac{200}{R}$
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Correct Answer: Rs. $50$
Solution : Given: Simple interest = $R$ Rate = $R$ % Time = 2 years Simple interest =$\frac{\text{Principal×Rate×Time}}{100}$ ⇒ Principal = $\frac{R×100}{2×R}$ ⇒ Principal = Rs.$50$ Hence, the correct answer is Rs.$50$.
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Question : What will a person get after 3 years at compound interest, when the principal is Rs. $S$ and the rate of interest is $2r$% per annum?
Option 1: Rs. $\frac{6Sr}{100}$
Option 2: Rs. $S(1+\frac{r}{100} )^{3}$
Option 3: Rs. $S( 1+\frac{r}{50} )^{3}$
Option 4: Rs. $3S( 1+\frac{r}{100} )^{3}$
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
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 : The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525. The simple interest on the same sum for double the time at half the rate percent per annum is:
Option 1: Rs. 520
Option 2: Rs. 550
Option 3: Rs. 500
Option 4: Rs. 515
Question : The simple interest on Rs. 800 for 6 years at 5.5% per annum is equal to the simple interest on Rs. 600 at 4% per annum for a certain period. The period is:
Option 1: 11 years
Option 2: 9 years
Option 3: 12 years
Option 4: 10 years
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