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- Question
At a certain rate of interest the compound interest of 3 years and simple interest of 5 years for certain sum of money is respectively Rs. 1513.2 and Rs. 2400. Find the common rate of interest per annum ?
Options- A. 5%
- B. 6%
- C. 4%
- D. 3%
- Correct Answer
- 5%
ExplanationGiven compound interest for 3 years = Rs. 1513.2
and simple interest for 5 years = Rs. 2400
Now, we know that C.I =
=> 1513.2 = ...........(A)
And S.I = PTR/100
=> 2400 = P5R/100 ..................(B)
By solving (A) & (B), we get
R = 5%.
- 1. What is the difference between the compound interests on Rs. 5000 for 11?2 years at 4% per annum compounded yearly and half-yearly?
Options- A. Rs. 1.80
- B. Rs. 2.04
- C. Rs. 3.18
- D. Rs. 4.15 Discuss
- 2. The compound interest on Rs. 8000 for 3 year at 10% p.a. is
Options- A. 2648
- B. 2145
- C. 2587
- D. 2784 Discuss
- 3. A sum is equally invested in two different schemes on CI at the rate of 15% and 20% for two years. If interest gained from the sum invested at 20% is Rs. 528.75 more than the sum invested at 15%, find the total sum?
Options- A. Rs. 7000
- B. Rs. 4500
- C. Rs. 9000
- D. Rs. 8200 Discuss
- 4. What is the interest rate per annum, if a sum of money invested at compound interest amount to Rs. 2400 in 3 years and in 4 years to Rs. 2,520?
Options- A. 3.5%
- B. 4%
- C. 5%
- D. 6.5% Discuss
- 5. 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 Discuss
- 6. What will be the compound interest on a sum of Rs.25,000 after 3 years at the rate of 12 p.c.p.a?
Options- A. Rs.10123.20
- B. Rs.12100
- C. Rs.12552
- D. Rs.12665 Discuss
- 7. Rs. 5887 is divided between Shyam and Ram, such that Shyam's share at the end of 9 years is equal to Ram's share at the end of 11 years, compounded annually at the rate of 5%. Find the share of Shyam.
Options- A. 3567
- B. 3452
- C. 3087
- D. 3544 Discuss
- 8. The difference between the compound interest and the simple interest accrued on an amount of Rs. 18,000 in 2 years was Rs. 405. What was the rate of interest p.c.p.a. ?
Options- A. 12%
- B. 13%
- C. 14%
- D. 15% Discuss
- 9. The difference between simple and compound interest compounded annually on a certain sum of money for 2 years at 4% per annum is re.1. the sum is
Options- A. 625
- B. 630
- C. 640
- D. 650 Discuss
- 10. The difference between the compound interest and simple interest on a certain sum at 10% per annum for 2 years is Rs. 631. Find the sum.
Options- A. 60100
- B. 61100
- C. 62100
- D. 63100 Discuss
Compound Interest problems
Search Results
Correct Answer: Rs. 2.04
Explanation:
Compound Interest for 1 1?2 years when interest is compounded yearly = Rs.(5304 - 5000)
Amount after 11?2 years when interest is compounded half-yearly
Compound Interest for 1 1?2 years when interest is compounded half-yearly = Rs.(5306.04 - 5000)
Difference in the compound interests = (5306.04 - 5000) - (5304 - 5000)= 5306.04 - 5304 = Rs. 2.04
Correct Answer: 2648
Explanation:
8000 × 33.1% = 2648
Correct Answer: Rs. 9000
Explanation:
Let Rs. K invested in each scheme
Two years C.I on 20% = 20 + 20 + 20x20/100 = 44%
Two years C.I on 15% = 15 + 15 + 15x15/100 = 32.25%
Now,
(P x 44/100) - (P x 32.25/100) = 528.75
=> 11.75 P = 52875
=> P = Rs. 4500
Hence, total invested money = P + P = 4500 + 4500 = Rs. 9000.
Correct Answer: 5%
Explanation:
Let 'R%' be the rate of interest
From the given data,
Hence, the rate of interest R = 5% per annum.
Correct Answer: Rs. 4826
Explanation:
We know the formula for calculating
The compound interest where P = amount, r = rate of interest, n = time
Here P = 5000, r1 = 10, r2 = 20
Then
C = Rs. 4826.
Correct Answer: Rs.10123.20
Explanation:
Amount
= Rs.(25000x(1+12/100)³
= Rs.(25000x28/25x28/25x28/25)
= Rs. 35123.20.
C.I = Rs(35123.20 -25000)
= Rs.10123.20
Correct Answer: 3087
Explanation:
Shyam's share * (1+0.05)9 = Ram's share * (1 + 0.05)11
Shyam's share / Ram's share = (1 + 0.05)11 / (1+ 0.05)9 = (1+ 0.05)2 = 441/400
Therefore Shyam's share = (441/841) * 5887 = 3087
Correct Answer: 15%
Explanation:
Let the rate be R% p.a. Then,
Rate = 15%.
Correct Answer: 625
Explanation:
sum=Rs.x
C.I=[x(1+4/100)^2-x]=(676/625x-x)=51/625
S.I=(x*4*2)/100=2x/25
x=625
Correct Answer: 63100
Explanation:
Let the sum be Rs. x. Then,
C.I. = x ( 1 + ( 10 /100 ))^2 - x = 21x / 100 ,
S.I. = (( x * 10 * 2) / 100) = x / 5
(C.I) - (S.I) = ((21x / 100 ) - (x / 5 )) = x / 100
( x / 100 ) = 632 * x = 63100.
Hence, the sum is Rs.63,100.
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