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- Question
A sum of money becomes 7/6 of itself in 3 years at a certain rate of simple interest. The rate per annum is ?
Options- A. 45/7 %
- B. 50/9 %
- C. 51/7 %
- D. 47/ 9 %
- Correct Answer
- 50/9 %
ExplanationLet sum = S. Then, amount = 7S/6
S.I. = 7S/6 - S = S/6; Time = 3 years.
Rate = (100 x S) / (S x 6 x 3) = 5 5/9 = 50/9 %.
- 1. Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.85. How much was lent at 5% ?
Options- A. Rs. 500
- B. Rs. 245
- C. Rs. 1250
- D. Rs. 635 Discuss
- 2. What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years?
Options- A. 1:3
- B. 1:4
- C. 2:3
- D. data is inadequate Discuss
- 3. An automobile financier claims to be lending money at simple interest, but he includesthe interest every six months for calculating the principal. If he is charging an interest of10%, the effective rate of interest becomes:
Options- A. 10%
- B. 10.25%
- C. 10.5%
- D. none of these Discuss
- 4. A man invested an amount at the rate of 10% p.a. on compound interest and after two years he again invested half of the initial amount. If man got Rs. 457.2 Rs. as interest after three years, find the amount received by man after three years, if he invested same amount on simple interest at rate of 15% p.a.?
Options- A. 1740 Rs.
- B. 1760 Rs.
- C. 1720 Rs.
- D. 1780 Rs. Discuss
- 5. Ronika deposited Rs.7000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2% more. She would get how much ?
Options- A. 9850
- B. 9500
- C. 9620
- D. 9760 Discuss
- 6. Manu invested an amount of Rs. 14800 at the rate of 7% per annum. After how many years will she obtain a simple interest of Rs.15800?
Options- A. 16.75 yrs
- B. 15.25 yrs
- C. 14 yrs
- D. 13.5 yrs Discuss
- 7. A sum of money invested for a certain number of years at 8% p.a. simple interest grows to Rs.180. The same sum of money invested for the same number of years at 4% p.a. simple interest grows to Rs.120 only. For how many years was the sum invested?
Options- A. 25years
- B. 15years
- C. 20years
- D. 22years Discuss
- 8. On Rs. 3500 invested at a simple interest rate of 7 per cent per annum, Rs. 500 is obtained as interest in certain years. In order to earn Rs. 800 as interest on Rs. 4900 in the same number of years, what should be the rate of simple interest?
Options- A. 8%
- B. 7.5%
- C. 9%
- D. 8.5% Discuss
- 9. A Rent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is:
Options- A. 5%
- B. 7%
- C. 7.5%
- D. 10% Discuss
- 10. What is the principal sum? I. The sum amounts to Rs. 690 in 3 years at S.I. II. The sum amounts to Rs. 750 in 5 years at S.I. III. The rate of interest is 5% p.a.
Options- A. I and III only
- B. II and III only
- C. I and II only
- D. Any two of the three Discuss
Simple Interest problems
Search Results
Correct Answer: Rs. 500
Explanation:
(kx5x1)/100 + [(1500 - k)x6x1]/100 = 85
5k/100 + 90 ? 6k/100 = 85
k/100 = 5
=> k = 500
Correct Answer: 2:3
Explanation:
Let the principal be P and rate of interest be R%.
Required ratio =
Correct Answer: 10.25%
Explanation:
Let the sum be Rs. 100. Then,
S.I. for first 6 months = Rs.[ (100 x 10 x 1)/(100 x 2) ]= Rs.5
S.I. for last 6 months =Rs.[(102 x 10 x 1)/(100 x 2) ] = Rs.5.25
So, amount at the end of 1 year = Rs. (100 + 5 + 5.25) = Rs. 110.25
Effective rate = (110.25 - 100) = 10.25%
Correct Answer: 1740 Rs.
Explanation:
Let man invested Rs. A And, after two years amount invested = (A +
Correct Answer: 9620
Explanation:
As the interest rate increases by 2%
=> (7000x3x2)/100 = 420
9200
--------
9620
Correct Answer: 15.25 yrs
Explanation:
We know that,
I = PTR/100
ATQ,
15800 = 14800 x T x 6/100
T = 15800/148x7
T = 15800/1036
T = 15.25 yrs.
Correct Answer: 25years
Explanation:
From the information provided we know that,
Principal + 8% p.a. interest on principal for n years = 180 ??.. (1)
Principal + 4% p.a. interest on principal for n years = 120 ??? (2)
Subtracting equation (2) from equation (1), we get
4% p.a. interest on principal for n years = Rs.60.
Now, we can substitute this value in equation (2),
i.e Principal + 60 = 120
= Principal = Rs.60.
We know that SI = , where p is the principal, n the number of years and r the rate percent of interest.
In equation (2), p = Rs.60, r = 4% p.a. and the simple interest = Rs.60.
Therefore, 60 =(60*n*4)/100
=> n = 100/4 = 25 years.
Correct Answer: 8%
Explanation:
From the given data,
3500x7xt/100 = 500
=> t = 100/49 years
Now, in the second case
The interest per year = 49/100 x 800 = 392
=> 4900 x 1 x r/100 = 392
=> r = 8%
Correct Answer: 10%
Explanation:
Let the rate be R% p.a.
Then,
Rate = 10%
Correct Answer: Any two of the three
Explanation:
Clearly, any of the three will give us the answer
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