Question : The difference between compound interest and simple interest on an amount of Rs. 15,000 for 2 years is Rs. 96. The rate of interest per annum is:
Option 1: 6%
Option 2: 7%
Option 3: 8%
Option 4: 9%
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Correct Answer: 8%
Solution : $D=P\left (\frac{r}{100}\right)^{2}$, where D is the difference between simple interest and compound interest for 2 years on Principal $P$ with the rate of interest $r$ per annum compounded annually. ⇒ $96 = 15000\left ( \frac{r}{100}\right )^{2}$ ⇒ $r^2=\frac{960000}{15000}=64$ ⇒ $r$ = 8% Hence, the correct answer is 8%.
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Question : The difference between simple and compound Interest compounded annually on a certain sum of money for 2 years at 4% per annum is Rs. 8. The sum is:
Option 1: Rs. 10,000
Option 2: Rs. 20,000
Option 3: Rs. 5,000
Option 4: Rs. 15,000
Question : The difference between the compound interest and simple interest on Rs. 5,000 for 2 years at 8% per annum payable yearly is:
Option 1: Rs. 30
Option 2: Rs. 31
Option 3: Rs. 33
Option 4: Rs. 32
Question : In how much time will a sum of Rs. 10200 amount to Rs. 19125 at the rate of 12.5% per annum at simple interest?
Option 1: 6 years
Option 2: 5 years
Option 3: 8 years
Option 4: 7 years
Question : The difference between Simple and Compound Interest (compounded annually) on Rs. 40,000 for 3 years at 8% per annum is:
Option 1: Rs. 684.32
Option 2: Rs. 788.48
Option 3: Rs. 784.58
Option 4: Rs. 4,000
Question : If the difference between the compound interest and simple interest on a certain sum at the rate of 5% per annum for 2 years is Rs. 20, then the sum is:
Option 1: Rs. 2000
Option 2: Rs. 4000
Option 3: Rs. 6000
Option 4: Rs. 8000
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