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- Question
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
- Correct Answer
- Rs. 1400
ExplanationWe 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
- 1. 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% Discuss
- 2. 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 Discuss
- 3. In what time will Rs. 1000 become Rs. 1331 at 10% per annum compounded annually?
Options- A. 1years
- B. 2years
- C. 3years
- D. 4years Discuss
- 4. The compound interest on a sum of money for 2 years is rs.832 and the simple interest on the same sum for the same period is rs.800 .the difference between the compound interest and simple interest for 3 years
Options- A. Rs.48
- B. Rs.66.56
- C. Rs.98.56
- D. None of these Discuss
- 5. A sum is being lent at 20 % per annum compound interest.what is the ratio of increase in amount of 4th year to 5th year?
Options- A. 4:5
- B. 5:4
- C. 5:6
- D. can't be determined Discuss
- 6. 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 Discuss
- 7. Find compound interest on Rs. 7500 at 4% per annum for 2 years, compounded annually.
Options- A. 612
- B. 712
- C. 812
- D. 912 Discuss
- 8. 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 Discuss
- 9. 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 Discuss
- 10. 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 Discuss
Compound Interest problems
Search Results
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%
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
Correct Answer: 3years
Explanation:
Principal = Rs. 1000; Amount = Rs. 1331; Rate = 10% p.a. Let the time be n years. Then,
[ 1000 (1+ (10/100))^n ] = 1331 or (11/10)^n = (1331/1000) = (11/10)^3
n = 3 years
Correct Answer: Rs.98.56
Explanation:
difference in C.I and S.I in 2years =Rs.32
S.I for 1year =Rs.400
S.I for Rs.400 for one year =Rs.32
rate=[100*32)/(400*1)%=8%
difference between in C.I and S.I for 3rd year
=S.I on Rs.832= Rs.(832*8*1)/100=Rs.66.56
Correct Answer: 5:6
Explanation:
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.
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.
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
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
Correct Answer: Rs.5624.32
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