The principal that amounts to Rs.4913 in 3 years at 413 % per annum compound int

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Question
The principal that amounts to Rs.4913 in 3 years at 413 % per annum compound interest compounded annually is
Options
A. Rs.3096
B. Rs.4076
C. Rs.4085
D. Rs.4096

Correct Answer

Rs.4096

Explanation

principal = $A = 4913, T = 3, R = 4 \frac{1}{3}$

$P = {\frac{A}{(\frac{1 + R}{100})}}^{T}$

= Rs.4096

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Compound Interest problems

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1. A man invests Rs.5000 for 3 years at 5% p.a. compound interest reckoned yearly. Income tax at the rate of 20% on the interest earned is deducted at the end of each year. Find the amount at the end of the third year
Options
A. Rs.5624.32
B. Rs.5423
C. Rs.5634
D. Rs.5976

2. Divide Rs. 1301 between A and B, so that the amount of A after 7 years is equal to the amount of B after 9 years, the interest being compounded at 4% per annum.
Options
A. Rs.625
B. Rs.626
C. Rs.286
D. Rs.627

3. The population of a town was 3600 three years back. It is 4800 right now. What will be the population three years down the line, if the rate of growth of population has been constant over the years and has been compounding annually?
Options
A. Rs.600
B. Rs,6400
C. Rs.6500
D. Rs.6600

4. Find compound interest on Rs. 7500 at 4% per annum for 2 years, compounded annually.
Options
A. 612
B. 712
C. 812
D. 912

5. The difference between simple interest and compound interest on Rs. 1200 for one year at 10% per annum reckoned half yearly is
Options
A. Rs.2.50
B. Rs.3
C. Rs.4
D. Rs.4.50

6. Compound interest on a certain sum of money at 20% per annum for 2 years is Rs.5995. What is the SI on the same money at 8% per annum for 6 years ?
Options
A. Rs. 5989
B. Rs. 6540
C. Rs. 7844
D. Rs. 6789

7. A certain sum is invested for 2 years in scheme M at 20% p.a. compound interest (compounded annually), Same sum is also invested for the same period in scheme N at k% p.a. simple interest. The interest earned from scheme M is twice of that earned from scheme N. What is the value of k?
Options
A. 7
B. 11
C. 9
D. 13

8. The present worth of Rs.169 due in 2 years at 4% per annum compound interest is
Options
A. Rs.156.25
B. Rs.150
C. Rs.140
D. Rs125.25

9. Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is:
Options
A. Rs.1550
B. Rs.1650
C. Rs,1750
D. Rs.1850

10. Find the compound interest on Rs. 6,500 for 4 years if the rate of interest is 10% p.a. for the first 2 years and 20% per annum for the next 2 years?
Options
A. Rs. 3845
B. Rs. 4826
C. Rs. 5142
D. Rs. 4415

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