Question : INR 20,000 is lent at compound interest at an annual rate of 16% for 1 year. If the compounding of interest is done half yearly, then how much interest will be obtained?
Option 1: INR 3180
Option 2: INR 3396
Option 3: INR 3224
Option 4: INR 3328
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Correct Answer: INR 3328
Solution : Rate, $R$ = 16% Tem, $n$ = 1 year Principal sum, $P$ = INR 20000 When compounded half-yearly, Amount = $P(1+\frac{R}{200})^{2n}$ Compound interest = $P(1+\frac{R}{200})^{2n}-P$ = $20000(1+\frac{16}{200})^{2}-20000$ = $20000(1+\frac{2}{25})^{2}-20000$ = $20000(\frac{27}{25})^{2}-20000$ = $20000(\frac{27^2}{25^2}-1)$ = $20000(\frac{27^2-25^2}{625})$ = $\frac{20000×52×2}{625}$ = INR 3328 Hence, the correct answer is INR 3328.
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Question : INR 12,000 is lent for one year at the rate of 15 % per annum, the interest being compounded annually. If the compounding of the interest is done half-yearly, then how much more interest will be obtained at the end of the one year on the same initial sum?
Option 1: INR 72.5
Option 2: INR 82.8
Option 3: INR 60.5
Option 4: INR 67.5
Question : A sum was lent for one year at the rate of 16 percent per annum on compound interest (compounding annually). If the compounding had been done half yearly, then the interest would have increased by Rs. 64. What was the sum lent?
Option 1: Rs. 10000
Option 2: Rs. 6000
Option 3: Rs. 14000
Option 4: Rs. 20000
Question : The compound interest (compounding annually) on a certain sum for 2 years at the rate of 60% per annum is INR 6240. What will be the simple interest on the same sum for 3 years at the same rate of interest?
Option 1: INR 6800
Option 2: INR 7200
Option 3: INR 7100
Option 4: INR 6500
Question : Raja borrowed INR 15,000 on simple interest at the rate of 13% per annum and lent it on compound interest at the rate of 15% per annum, compounded annually. What is Raja's gain in two years?
Option 1: INR 1,080.00
Option 2: INR 1,125.00
Option 3: INR 937.50
Option 4: INR 865.50
Question : The difference between compound interest (compounding annually) and simple interest on a sum at the rate of 30% per annum for 2 years is INR 3,600. What is the sum?
Option 1: INR 75,000
Option 2: INR 40,000
Option 3: INR 50,000
Option 4: INR 60,000
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