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- Question
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
- Correct Answer
- Rs. 9000
ExplanationLet 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.
- 1. 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
- 2. 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
- 3. Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 16000 for 2 years at 10% per annum. The sum placed on simple interest is:
Options- A. Rs 14000
- B. Rs 3500
- C. Rs 7000
- D. Rs 5600 Discuss
- 4. The present worth of Rs.169 due in 2 years at 4% per annum compound interest is
Options- A. Rs.156.25
- B. Rs.150
- C. Rs.140
- D. Rs125.25 Discuss
- 5. A certain sum is invested for 2 years in scheme M at 20% p.a. compound interest (compounded annually), Same sum is also invested for the same period in scheme N at k% p.a. simple interest. The interest earned from scheme M is twice of that earned from scheme N. What is the value of k?
Options- A. 7
- B. 11
- C. 9
- D. 13 Discuss
- 6. The compound interest on Rs. 8000 for 3 year at 10% p.a. is
Options- A. 2648
- B. 2145
- C. 2587
- D. 2784 Discuss
- 7. What is the difference between the compound interests on Rs. 5000 for 1 1/2 years at 4% per annum compounded yearly and half-yearly?
Options- A. 2.04
- B. 3.04
- C. 4.04
- D. 5.04 Discuss
- 8. 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% Discuss
- 9. 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
- 10. 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
Compound Interest problems
Search Results
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 7000
Correct Answer: Rs.156.25
Explanation:
Present Worth
=
=
= Rs.156.25
Correct Answer: 11
Explanation:
Interest earned in scheme M =
Interest earned in scheme N =
Now, from the given data,
k = 11
Correct Answer: 2648
Explanation:
8000 × 33.1% = 2648
Correct Answer: 2.04
Explanation:
C.I. when interest
compounded yearly=rs.[5000*(1+4/100)(1+1/2*4/100)]
= Rs. 5304.
C.I. when interest is
compounded half-yearly=rs.5000(1+2/100)^3
= Rs. 5306.04
Difference = Rs. (5306.04 - 5304) = Rs. 2.04
Correct Answer: 5%
Explanation:
Given 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%.
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
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