Question : The effective annual Rate of Interest corresponding to a nominal rate of interest of 13% per annum payable half-yearly is:
Option 1: 26%
Option 2: 26.85%
Option 3: 13%
Option 4: 13.42%
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Correct Answer: 13.42%
Solution : Rate of interest per annum = 13% Rate of interest half yearly = $\frac{13}{2}\%$ Use: Single equivalent increase = $(a+b+\frac{a×b}{100}$)%, where $a$% and $b$% are successive percentage change. $\therefore$ The effective rate of interest for one year when interest is counted half yearly = $\frac{13}{2}+\frac{13}{2}+\frac{\frac{13}{2}\times\frac{13}{2} }{100}$ = 13 + 0.42 = 13.42% Hence, the correct answer is 13.42%.
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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 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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Option 1: 6.25 percent
Option 2: 5.32 percent
Option 3: 4.88 percent
Option 4: 4.55 percent
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Option 1: INR 3,315
Option 2: INR 3,310
Option 3: INR 3,305
Option 4: INR 3,320
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Option 1: 2,151.0625
Option 2: 2,055
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