Compound Interest problems
- 1. There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate
Options- A. Rs.4972
- B. Rs.3972
- C. Rs.5972
- D. Rs.2972 Also asked in: Bank Exams, Bank PO
Correct Answer: Rs.3972
Explanation:
Let P = Rs. 100. Then, S.I. Rs. 60 and T = 6 years.
R= =10% p.a
Now, P = Rs. 12000. T = 3 years and R = 10% p.a.
C.I=
=Rs.3972
- 2. On a sum of money, the simple interest for 2 years is Rs. 660,while the compound interest is Rs.696.30,the rate of interest being the same in both the cases. The rate of interest is
Options- A. 10%
- B. 11%
- C. 12%
- D. 13% Also asked in: Bank Exams, Bank PO
Correct Answer: 11%
Explanation:
Difference in C.I and S.I for 2 years
= Rs(696.30-660)
=Rs. 36.30.
S.I for one years = Rs330.
S.I on Rs.330 for 1 year =Rs. 36.30
Rate
= (100x36.30/330x1)%
= 11%
- 3. The difference between simple interest and compound interest of a certain sum of money at 20% per annum for 2 years is Rs. 56. Then the sum is :
Options- A. Rs. 3680
- B. Rs. 2650
- C. Rs. 1400
- D. Rs. 1170 Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, TOEFL, Analyst, Bank Clerk, Bank PO
Correct Answer: Rs. 1400
Explanation:
We know thatThe Difference between Compound Interest and Simple Interest for n years at R rate of interest is given by
Here n = 2 years, R = 20%, C.I - S.I = 56
- 4. 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 Also asked in: GRE
Correct Answer: Rs.3
Explanation:
S.I
= Rs.(1200x10x1/100)
= Rs.120.
C.I
= Rs[(1200x1+5/100)² -1200]
= Rs.123.
Difference
= Rs.[123-120]
= Rs. 3.
- 5. Find compound interest on Rs. 7500 at 4% per annum for 2 years, compounded annually.
Options- A. 612
- B. 712
- C. 812
- D. 912 Also asked in: Bank Exams, Bank PO
Correct Answer: 612
Explanation:
Amount = Rs [7500*(1+(4/100)2] = Rs (7500 * (26/25) * (26/25) ) = Rs. 8112.
therefore, C.I. = Rs. (8112 - 7500) = Rs. 612.
- 6. 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 Also asked in: Bank Exams, Bank PO
Correct Answer: Rs,6400
Explanation:
The population grew from 3600 to 4800 in 3 years. That is a growth of 1200 on 3600 during three year span.
Therefore, the rate of growth for three years has been constant.
The rate of growth during the next three years will also be the same.
Therefore, the population will grow from 4800 by = 1600
Hence, the population three years from now will be 4800 + 1600 = 6400
- 7. 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 Also asked in: Bank Exams, Bank PO
Correct Answer: Rs.625
Explanation:
Let the two parts be Rs. x and Rs. (1301 - x).
=> 625x=676(1301-x)
1301x=676 x 1301x=676.
So,the parts are rs.676 and rs.(1301-676)i.e rs.676 and rs.625
- 8. 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 Also asked in: Bank Exams, Bank PO
Correct Answer: Rs.5624.32
- 10. 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 Also asked in: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk
Correct Answer: Rs. 6540
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