Question : A man saves Rs. 2000 at the end of each year and invests the money at 5% compound interest. At the end of 3 years, he will have:
Option 1: Rs. 4305
Option 2: Rs. 6305
Option 3: Rs. 4205
Option 4: Rs. 2205
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Correct Answer: Rs. 6305
Solution : We know, $\text{Total Amount}=\text{Principal}×(1+\frac{\text{Rate}}{100})^{\text{Time}}$ $=2000(1+\frac{5}{100})^2+2000(1+\frac{5}{100})$ $=2000(\frac{21}{20})^2+2000(\frac{21}{20})$ $=2000\times \frac{441}{400}+2100$ $=2205+2100$ $=4305$ Amount after two years = Rs. 4305 $\therefore$ At the end of 3 years, he will have = 4305 + 2000 = Rs. 6305 Hence, the correct answer is Rs. 6305.
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Question : Find the sum of money invested by a man in a scheme that offers compound interest(compounding annually) at a 6% rate of interest per annum if compound interest for 2 years is Rs. 618.
Option 1: Rs. 7000
Option 2: Rs. 9000
Option 3: Rs. 5000
Option 4: Rs. 4000
Question : The difference between compound interest and simple interest on Rs. X at 7.5% per annum for 2 years is Rs. 22.50. Find the value of X.
Option 1: Rs. 4000
Option 2: Rs. 5000
Option 3: Rs. 2000
Option 4: Rs. 1900
Question : Rachit invests Rs. 12,000 for a 2-year period at a certain rate of simple interest per annum. Prasad invests Rs. 12,000 for a 2-year period at the same rate of interest per annum as Rachit, but in Prasad's case, the interest is compounded annually. Find the rate of interest per annum if Prasad receives Rs. 172.80 more as interest than Rachit at the end of the 2-year period.
Option 1: 10%
Option 2: 8%
Option 3: 12%
Option 4: 5%
Question : An amount of money appreciates to Rs. 7,000 after 4 years and to Rs. 10,000 after 8 years at a certain compound interest annually. The initial amount of money was:
Option 1: Rs. 4,700
Option 2: Rs. 4,900
Option 3: Rs. 4,100
Option 4: Rs. 4,300
Question : Rs. 30,000 is lent at compound interest (compounded annually) for 3 years. If the rate of interest is 10% for the first year, 20% for the second year, and 30% for the third year, then what will be the total compound interest?
Option 1: Rs. 21,480
Option 2: Rs. 19,270
Option 3: Rs. 20,560
Option 4: Rs. 22,580
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