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- Question
The difference between compound interest and simple interest on a sum for two years at 8% per annum, where the interest is compounded annually is Rs.16. if the interest were compounded half yearly , the difference in two interests would be nearly
Options- A. Rs.24.64
- B. Rs.21.85
- C. Rs.16
- D. Rs.16.80
- Correct Answer
- Rs.24.64
ExplanationFor 1st year S.I =C.I.
Thus, Rs.16 is the S.I. on S.I. for 1 year, which at 8% is thus Rs.200
i.e S.I on the principal for 1 year is Rs.200
Principle = = Rs.2500
Amount for 2 years, compounded half-yearly
C.I = Rs.424.64
Also,
Hence, [(C.I) - (S.I)] = Rs. (424.64 - 400) = Rs.24.64
- 1. A sum of money amounts to Rs.6690 after 3 years and to Rs.10,035 after 6 years on compound interest.find the sum.
Options- A. 4360
- B. 4460
- C. 4560
- D. 4660 Discuss
- 2. The compound interest on rs.30000 at 7% per annum is Rs.4347. The period is
Options- A. 2 years
- B. 2.5 years
- C. 3 years
- D. 4 years Discuss
- 3. A sum of money lent at compound interest for 2 years at 20% per annum would fetch Rs.482 more, if the interest was payable half yearly than if it was payable annually . The sum is
Options- A. 10000
- B. 20000
- C. 40000
- D. 50000 Discuss
- 4. Find compound interest on Rs. 8000 at 15% per annum for 2 years 4 months, compounded annually
Options- A. 2109
- B. 3109
- C. 4109
- D. 6109 Discuss
- 5. The circular measure of the included angle formed by the hour hand and minute hand of a clock at 3 PM will be
Options- A. ?4
- B. ?3
- C. 5?12
- D. ?2 Discuss
- 6. Find the compound interest on Rs. 10,000 in 2 years at 4% per annum, the interest being compounded half-yearly.
Options- A. 524.32
- B. 624.32
- C. 724.32
- D. 824.32 Discuss
- 7. Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest?
Options- A. 3.6
- B. 6
- C. 18
- D. Cannot be determined Discuss
- 8. What annual payment will discharge a debt of Rs.7620 due in 3years at 1623 % per annum interest?
Options- A. 5430
- B. 4430
- C. 3430
- D. 2430 Discuss
- 9. What is the rate of interest p.c.p.a.? I. An amount doubles itself in 5 years on simple interest. II. Difference between the compound interest and the simple interest earned on a certain amount in 2 years is Rs. 400. III. Simple interest earned per annum is Rs. 2000
Options- A. I only
- B. II and III only
- C. All I, II and III
- D. I only or II and III only Discuss
- 10. 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
Compound Interest problems
Search Results
Correct Answer: 4460
Explanation:
Let the sum be Rs.P.then
P(1+R/100)^3=6690?(i) and P(1+R/100)^6=10035?(ii)
On dividing,we get (1+R/100)^3=10025/6690=3/2.
Substituting this value in (i),we get:
P*(3/2)=6690 or P=(6690*2/3)=4460
Hence,the sum is rs.4460.
Correct Answer: 2 years
Correct Answer: 20000
Explanation:
Let sum=Rs.x
C.I. when compounded half yearly =
C.I. when compounded annually =
=> x=20000
Correct Answer: 3109
Explanation:
Time = 2 years 4 months = 2(4/12) years = 2(1/3) years.
Amount = Rs'. [8000 X (1+(15/100))^2 X (1+((1/3)*15)/100)]
=Rs. [8000 * (23/20) * (23/20) * (21/20)]
= Rs. 11109. .
:. C.I. = Rs. (11109 - 8000) = Rs. 3109.
Correct Answer: ?2
Correct Answer: 824.32
Correct Answer: 6
Explanation:
Explanation:
Let rate = R% and time = R years.
Then,
=>
Correct Answer: 3430
Explanation:
Let each installment be Rs.x. Then,
(P.W. of Rs.x due 1 year hence) + (P.W of Rs.x due 2 years hence) + (P.W of Rs. X due 3 years hence) = 7620.
=> x = 3430
Amount of each installment = Rs.3430
Correct Answer: I only or II and III only
Explanation:
Thus I only or (II and III) give answer.
Correct answer is (D)
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
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