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- Question
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
- Correct Answer
- Rs.98.56
Explanationdifference 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
- 1. 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
- 2. Find the compound interest on Rs.16,000 at 20% per annum for 9 months, compounded quartely.
Options- A. Rs.2522
- B. Rs.2422
- C. Rs.3522
- D. Rs.2322 Discuss
- 3. A certain sum amounts to Rs.7350 in 2 years and to Rs.8575 in 3 years.find the sum and rate percent
Options- A. 3400
- B. 4400
- C. 5400
- D. 6400 Discuss
- 4. If the simple interest on a sum of money at 5% per annum for 3 years is Rs. 1200, find the compound interest on the same sum for the same period at the same rate.
Options- A. Rs.1251
- B. Rs.1261
- C. Rs.1271
- D. Rs,1281 Discuss
- 5. The difference between the simple interest on a certain sum at the rate of 10%per annum for 2 years and compound interest which is compounded every 6 months is Rs.124.05. what is the principal sum
Options- A. Rs.6000
- B. Rs.8000
- C. Rs.12000
- D. none of these Discuss
- 6. In what time will Rs.1000 become Rs.1331 at 10% per annum compounded annually?
Options- A. 2years
- B. 3years
- C. 4years
- D. 5years Discuss
- 8. 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
- 9. 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 Discuss
- 10. The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Rs. 1. The sum (in Rs.) is:
Options- A. 620
- B. 630
- C. 640
- D. 625 Discuss
Compound Interest problems
Search Results
Correct Answer: 5:6
Explanation:
Correct Answer: Rs.2522
Explanation:
Principal = Rs.16,000;
Time=9 months = 3 quarters;
Amount
=Rs.[16000x(1+5/100)³] =[16000x21/20x21/20x21/20]
= Rs.18522.
C.I
= Rs.(18522 - 16000)
= Rs.2522.
Correct Answer: 5400
Explanation:
Interest for 1 year is the same whether it's simple interest or the compound interest.
Now interest of third year = 8575 - 7350 = 1225; means principal for this interest is 7350 if comound interest is takenIf 7350 is the principal interest = 1225
if 100 is the principal interest =(1225/7350) * 100 = 50/3 %
When a thing increases for two successive times the overall increase on initial amount = a + b + (a * b)/100
Therefore overall interest for two years = 50/3 + 50/3 + [(50/3)*(50/3)]/100 = 325/9 %
Therefore amount after 2 years = 100 + 325/9 = 1225/9
If 1225/9 is the amount principal =100
if 7350 is the amount principal =(900/1225)*7350 =5400
So sum = 5400; Rate = 50/3 %
Correct Answer: Rs.1261
Explanation:
Clearly, Rate = 5% p.a .,
Time = 3 years
S.I =Rs.1200.
So,Principal
=Rs.(100 x 1200/3x5)
=Rs.8000.
Amount
=Rs.[8000 x (1+5/100)³]
=Rs(8000x21/20x21/20x21/20)
= Rs.9261
C.I
=Rs.(9261-8000)
=Rs.1261.
Correct Answer: Rs.8000
Explanation:
Compound Interest on P at 10% for 2 years when interest is compounded half-yearly
=
Simple Interest on P at 10% for 2 years =
Given that difference between compound interest and simple interest = 124.05
=>
P=8000
Correct Answer: 3years
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: 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. 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
Correct Answer: 625
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