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- Question
- The simple interest on a sum of money is 1 / 16 of the principal and the number of years is equal to the rate per cent annum. Find the rate per cent.
Options- A. 21/2
- B. 31/2 %
- C. 41/2 %
- D. 91/2 %
- Correct Answer
- 21/2
ExplanationLet principal = P, time = T and rate = T
According to the question,
(P x T x T) / 100 = P/16 [? time and rate are equal]
? T2 = 100/16
or T = 10/4 = 5/2 = 21/2 % - 1. The simple interest of a sum of money is 1/144 of the principal and the number of years is equal to the rate per cent per annum. What will be the rate per cent per annum?
Options- A. 3/5%
- B. 5/6%
- C. 7/6%
- D. 1/6% Discuss
- 2. Rashim lent ? 600 to Geeta for 2 yr and ? 150 to Seeta 4 yr and received altogether ? 80 as simple interest from both. Find the rate of interest.
Options- A. 34/9%
- B. 24/9%
- C. 54/9%
- D. 44/9% Discuss
- 3. A sum of ? 1521 lent out two parts in such a way that the interest on one part at 10% for 5 yr is equal to that of another part at 8% for 10 yr. What will be the two parts of sum?
Options- A. ? 926 and ? 595
- B. ? 906 and ? 615
- C. ? 916 and ? 605
- D. ? 936 ? 585 Discuss
- 4. Suresh borrowed ? 800 at 6% and Naresh borrowed ? 600 at 10% After how much time will they both have equal debts?
Options- A. 151/3 yr
- B. 141/2 yr
- C. 181/3 yr
- D. 162/3 yr Discuss
- 5. 2/3 part of my sum is lent out at 3%, 1/6 part is Lent out at 6% and remaining part is lent out 12% All the three parts are lent out at simple interest. If the annual income is ? 25, what is the sum?
Options- A. ? 500
- B. ? 650
- C. ? 600
- D. ? 450 Discuss
- 6. The principle on which a simple interest of ? 55 will be obtained after 9 months at the rate of 3 2/ 3% per annum is
Options- A. 1000
- B. 1500
- C. 2000
- D. 2500 Discuss
- 7. The simple interest on a sum of money will be ? 200 after 5 yr In the next 5 yr principal is tripled. What will be the total interest at the end of the 10th yr?
Options- A. ? 650
- B. ? 850
- C. ? 800
- D. ? 750 Discuss
- 8. Ramesh invested an amount that is 10% of ? 10000 at simple interest. After 3 yr, the amount becomes ? 2500. Find out the 4 times of actual interest rate.
Options- A. 5000%
- B. 250%
- C. 200%
- D. 600% Discuss
- 9. What will be the ratio of simple interest earned by certain amount at the same rate of interest for 12 yr and for 18 yr?
Options- A. 2 : 5
- B. 1 : 3
- C. 2 : 3
- D. 3 : 1 Discuss
- 10. A sum of Rs . 2600 is lent out in two part in such a way that the interest on one part at 10% for 5 years is equal to that on another part at 9% for 6 years. The sum lent out at 10% is?
Options- A. Rs. 1150
- B. Rs. 1250
- C. Rs. 1350
- D. Rs. 1450 Discuss
Simple Interest problems
Search Results
Correct Answer: 5/6%
Explanation:
Let the principal be P.
Then, according to the question,
(P x T x T) / 100 = P/144 [? time and rate are equal]
? T2 = 100/144
? T = 10/12 = 5/6 %
Correct Answer: 44/9%
Explanation:
Given. T1 = 2 yr and T2 = 4 yr,
P1 = 600, P2 = 150.
According to the question,
SI1 + SI2 = 80
[(600 x R x 2)/100] + [(150 x R x 4)/100] = 80
? 120R + 60R = 800
? 180R = 800
? R = 800/180 = 80/18 = 40/9
= 44/9%
Correct Answer: ? 936 ? 585
Explanation:
Given, T1 = 5 yr, R1 = 10% and
T2 = 10 yr, R2 = 8%
Let the first part = P
Then, second part = (1521 - P)
Now, according to the question.
[(P x 5 x 10)/100] = [{(1521 - P) x 10 x 8}/100]
? 5P = 12168 - 8P
? 13P = 12168
? P = ? 936
So second part = 1521 - 936 = ? 585
Correct Answer: 162/3 yr
Explanation:
Given, R1 = 6% R2 = 10%
According to the question,
800 + [(800 x 6 x T)/100] = 600 + [(600 x 10 x T)/100]
800 + 48T = 600 + 60T
? 12T = 200
? 3T = 50
? T = 50/3 = 162/3 yr
Correct Answer: ? 500
Explanation:
Let entire sum = P
According to the question,
[(2P/3) x 3%] + [(P/6) x 6%] + [1 - ( 2/3 + 1/6 )] P x 12% = 25
? [(2P/3) x (3/100)] + [(P/6) x (6/100)] + [1 - 4 + 1/6] x (12P/100) = 25
? 2P/100 + P/100 + 2P/100 = 25
? 5P = 2500,
? P = 500
Correct Answer: 2000
Explanation:
Let. principal = P
Given, SI = 55, Time T = 9 months = 9/12 yr,
Rate R = 32/3% = 11/3 %
? SI = (P x R x T) / 100
? P = (100 x SI) / (R x T)
? (55 x 100) / [(11 x 9) / (3 x 12)] = 2000
? Principal (P) = ? 2000
Correct Answer: ? 800
Explanation:
According to the question,
SI for 5 yr = ? 200
? Total SI for 10 yr = 200 + 600 = ? 800
When principal is trebled, then SI for 5 yr will also be treble and hence
SI for next 5 yr will be ? (200 x 3) i.e., ? 600.
Correct Answer: 200%
Explanation:
Investment of Ramesh = 10% of 10000 = ? 1000
After 3 yr = 2500 - 1000 = ? 1500
We know.
SI = (P x R x T)/100
? 1500 = (1000 x R x 3)/100
? R = (1500 x 100) / (1000 x 3) = 50%
? 4 times of 50% = 200%
Correct Answer: 2 : 3
Explanation:
If the principal = P and interest = R%
Then, required ratio = [(P x R x 12)/100] / [(P x R x 18)/100]
= 12 / 18
= 2/3
= 2 : 3
Correct Answer: Rs. 1350
Explanation:
Let the money at 10% be Rs. P, Then the money at 9% is Rs. (2600 - P )
? (P x 10 x 5)/100 = [(2600 - P ) x 9 x 6]/100
or 104 x P = 2600 x 54
or P = (2600 x 54) / 104 = Rs.1350
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