Question : The Simple interest and Compound interest that can be earned in two years at the same rate are Rs. 1,000 and Rs. 1,040, respectively. What is the rate (percent per annum) of interest?
Option 1: 9
Option 2: 10
Option 3: 8
Option 4: 11
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Correct Answer: 8
Solution : Given: The Simple interest and Compound interest that can be earned in two years at the same rate are Rs. 1,000 and Rs. 1,040, respectively. The Simple Interest remains the same every year. Simple interest for 2 years = Rs. 1,000 $\therefore$ Simple interest for 1 years = $\frac{1000}{2}$ = Rs. 500 Let the rate be $R$. The difference between compound interest and simple interest for two years is equal to the interest in the first year's interest. So, 40 = $\frac{R×500}{100}$ $\therefore R = 8$% Hence, the correct answer is 8.
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Question : The simple interest on a certain sum of money at the rate of 5% per annum for 8 years is Rs. 840. The rate of interest for which the same amount of interest can be received on the same sum after 5 years is:
Option 1: 7% per annum
Option 2: 8% per annum
Option 3: 9% per annum
Option 4: 10% per annum
Question : A certain sum was invested at the rate of 10% for 2 years at Compound interest and compounded annually. The same sum was invested for the same period and the same rate of interest at Simple interest. If the difference between Compound interest and Simple interest was Rs. 200 find the sum.
Option 1: Rs. 30,000
Option 2: Rs. 25,000
Option 3: Rs. 22,000
Option 4: Rs. 20,000
Question : A sum of Rs. 2,000 becomes Rs. 3,120 in two years at a certain rate of simple interest. What is the rate of interest per annum?
Option 1: 34% per annum
Option 2: 33% per annum
Option 3: 30% per annum
Option 4: 28% per annum
Question : At a certain sum of money with the interest rate of 6% per annum for 4 years, the simple interest is Rs. 4500. Find the compound interest (compounding annually) of 2 years at the same sum when the rate of interest is 4% per annum.
Option 1: Rs. 1,530
Option 2: Rs. 1,430
Option 3: Rs. 1,830
Option 4: Rs. 1,560
Question : At what rate of compound interest (compounding annually) per annum will a sum of Rs. 1,000 become Rs. 1,060.90 in 2 years?
Option 1: 2% per annum
Option 2: 4% per annum
Option 3: 3% per annum
Option 4: 5% per annum
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