Question : The difference between compound interest and simple interest on a sum of Rs. 16,000 for two years is Rs. 160. Find the per annum rate of interest.
Option 1: 12%
Option 2: 10%
Option 3: 11%
Option 4: 15%
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Correct Answer: 10%
Solution : Given: Principal = Rs. 16,000 Time = 2 years We know, Difference between compound interest and simple interest = $P(\frac{r}{100})^2$, where $P$ = Principal, $r$ = Rate of interest ⇒ $160=16000(\frac{r}{100})^2$ ⇒ $\frac{r^2}{10000}×100=1$ ⇒ $r^2=100$ $\therefore r =10$% Hence, the correct answer is 10%.
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Question : The difference between compound interest and simple interest on a sum at 20% per annum for two years is Rs. 420. Find the sum (in Rs.).
Option 1: Rs. 8,000
Option 2: Rs. 10,500
Option 3: Rs. 9,000
Option 4: Rs. 11,000
Question : On a certain sum of money, the simple interest for 2 years is INR 150 at the rate of 10% per annum. What is the difference between compound interest and simple interest for 2 years if, in the case of compound interest, interest is compounded annually at the rate of 10% per annum?
Option 1: INR 5
Option 2: INR 10
Option 3: INR 7.5
Option 4: INR 12.5
Question : The difference between simple interest and compound interest (compounding of interest is done annually) on a certain sum of money for 3 years at the rate of 20 percent per annum is Rs. 192. What is the sum?
Option 1: Rs 1500
Option 2: Rs 1400
Option 3: Rs 1000
Option 4: Rs 1200
Question : The difference between the simple interest and the compound interest at the same rate for INR 32,000 for 2 years is 80. What is the rate of interest, if in the case of compound interest, interest is compounded annually?
Option 1: 8% per annum
Option 2: 2% per annum
Option 3: 5% per annum
Option 4: 12% per annum
Question : The compound interest (compounding annually) on a certain sum for 2 years at the rate of 20 percent per annum is Rs. 2420. What will be the simple interest on the same sum for 3 years at the same rate of interest?
Option 1: Rs. 3300
Option 2: Rs. 3000
Option 3: Rs. 3800
Option 4: Rs. 4200
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