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- Question
A certain sum of money amounts to Rs 1008 in 2 years and to Rs 1164 in 3 ½ years. Find the sum and the rate of interest.
Options- A. 800, 14%
- B. 800, 13%
- C. 800, 12%
- D. 800, 19%
- Correct Answer
- 800, 13%
ExplanationS.I. for 1 ½ years = Rs (1164 - 1008) = Rs 156 .
S.I. for 2 years = Rs (156 x x 2)= Rs 208.
Therefore, Principal = Rs (1008 - 208) = Rs 800.
Now, P = 800, T= 2 and S.I. = 208.
Therefore, Rate = (100 x S.I.) / (P x T) = [ (100 x 208)/(800 x 2)]% = 13%
- 1. A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was:
Options- A. Rs.2000
- B. Rs.10000
- C. Rs.15000
- D. Rs.20000 Discuss
- 2. In how many years will a sum of Rs.800 at 10% per annum compounded semi annually become Rs.926.10
Options- A. 1.5
- B. 2.5
- C. 3.5
- D. 4.5 Discuss
- 3. What annual instalment will discharge a debt of Rs 1092 due in 3 years at 12% simple interest?
Options- A. Rs.325
- B. Rs.545
- C. Rs.560
- D. Rs.550 Discuss
- 4. A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:
Options- A. 650
- B. 690
- C. 698
- D. 700 Discuss
- 6. Simple interest on a certain sum is 16/25 of the sum. Find the rate percent and time, If both are numerically equal.
Options- A. Rate = 7% and Time = 7 years.
- B. Rate = 8% and Time = 8 years.
- C. Rate = 6% and Time = 6 years.
- D. Rate = 5% and Time = 5 years. Discuss
- 7. A person borrows Rs. 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 614 p.a for 2 years. Find his gain in the transaction per year
Options- A. Rs. 112.50
- B. Rs.150.25
- C. Rs.167.50
- D. Rs.170 Discuss
- 8. Find: S.l. on Rs 6250 at 14% per annum for 146 days.
Options- A. Rs.350
- B. Rs.450
- C. Rs.550
- D. Rs.650 Discuss
- 9. A sum of Rs.1550 was lent partly at 8% p.a. simple interest. The total interest received after 3 years was Rs.300. The ratio of the money lent at 5% to that lent at 8% is :
Options- A. 5:8
- B. 6:7
- C. 16:15
- D. 17:18 Discuss
- 10. How much time will take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest ?
Options- A. 4 years
- B. 2.5 years
- C. 3.5 years
- D. 2 years Discuss
Simple Interest problems
Search Results
Correct Answer: Rs.15000
Explanation:
Principal =
Correct Answer: 1.5
Explanation:
Let the time be 'n' years, Then
n = 3/2 or n= 1 Years
Correct Answer: Rs.325
Explanation:
Let each instalment be Rs.x .
1st year = [x + (x * 12 * 2)/100]
2nd year = [ x + (x *12 * 1)/100]
3rd year = x
Then, [x + (x * 12 * 2)/100] + [ x + (x *12 * 1)/100] + x =1092
3x + ( 24x/100 ) + ( 12x/100 ) = 1092
336x =109200
Therefore, x = 325
Each instalment = Rs. 325
Correct Answer: 698
Explanation:
S.I. for 1 year = Rs. (854 - 815) = Rs. 39.
S.I. for 3 years = Rs.(39 x 3) = Rs. 117.
Principal = Rs. (815 - 117) = Rs. 698
Correct Answer: Rate = 8% and Time = 8 years.
Explanation:
Let sum = X. Then S.I = 16x/25
Let rate = R% and Time = R years.
Therefore, (x * R * R)/100 = 16x/25 => R = 40/5 = 8
Therefore, Rate = 8% and Time = 8 years.
Correct Answer: Rs. 112.50
Explanation:
= Rs. (625 - 400)
= Rs. 225
Correct Answer: Rs.350
Explanation:
P = Rs. 6250, R = 14 % & T = (146/365) years = 2/5 years .
S.I=
Correct Answer: 16:15
Explanation:
let the sum lent at 5% be Rs.x and that lent at 8% be Rs.(1550-x). then,
Interest on x at 5% for 3 years + interest on (1550-x) at 8% for 3 years = 300
x=800
Required ratio = x : (1550-x) = 800 : (1550-800) = 800 : 750 = 16 : 15
Correct Answer: 4 years
Explanation:
Time = (100 x 81) / (450 x 4.5) = 4 years.
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