Question : If the difference between the compound interest and simple interest on a certain sum of money for 3 years at the rate of 4% per annum is INR 76, then what is the sum?
Option 1: INR 16,725
Option 2: INR 12,925
Option 3: INR 15,625
Option 4: INR 18,825
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Correct Answer: INR 15,625
Solution : Given: Compound interest – Simple interest = 76 Rate, $R$ = 4% Let the sum be $P$. $P(\frac{R}{100})^{2}(3 +\frac{R}{100})=76$ ⇒ $P(\frac{4}{100})^{2}(3+\frac{4}{100})=76$ ⇒ $P(\frac{1}{625})(\frac{76}{25})=76$ $\therefore P=15625$ Hence, the correct answer is INR 15,625.
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Question : The difference between the simple and compound interest on a certain sum of money at an $8\%$ rate of interest per annum for two years is INR 56. Find the sum.
Option 1: INR 8750
Option 2: INR 7058
Option 3: INR 7805
Option 4: INR 8057
Question : On a sum of money for 2 years compound interest and simple interest are INR 550 and INR 500. Find the rate of interest (per annum).
Option 1: 40%
Option 2: 10%
Option 3: 20%
Option 4: 30%
Question : The simple interest on a sum of money in 6 years at the rate of 15% per annum is INR 1,440 less than the simple interest accrued on the same sum in 9 years at 18% per annum. What is the sum of money (in INR)?
Option 1: 1800
Option 2: 2000
Option 3: 2700
Option 4: 2400
Question : Compound interest on a certain sum of money invested for 1.5 years at the rate of 10% per annum, compounded half-yearly is INR 5,044. What is the sum?
Option 1: INR 32,000
Option 2: INR 37,044
Option 3: INR 33,000
Option 4: INR 22,000
Question : If the difference between the simple interest and the compound interest for 3 years at the rate of 10% per annum on a certain sum is equal to Rs. 310, then that sum of money is:
Option 1: Rs. 8,000
Option 2: Rs. 9,500
Option 3: Rs. 12,000
Option 4: Rs. 10,000
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