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- Question
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. Rs. 650
- B. Rs. 690
- C. Rs. 698
- D. Rs. 700
- Correct Answer
- Rs. 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.
- 1. A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum?
Options- A. Rs. 4462.50
- B. Rs. 8032.50
- C. Rs. 8900
- D. Rs. 8925
- E. None of these Discuss
- 2. How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
Options- A. 3.5 years
- B. 4 years
- C. 4.5 years
- D. 5 years Discuss
- 3. Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest?
Options- A. 3.6
- B. 6
- C. 18
- D. Cannot be determined
- E. None of these Discuss
- 4. A sum of Rs. 12,500 amounts to Rs. 15,500 in 4 years at the rate of simple interest. What is the rate of interest?
Options- A. 3%
- B. 4%
- C. 5%
- D. 6%
- E. None of these Discuss
- 5. Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is:
Options- A. 173 m
- B. 200 m
- C. 273 m
- D. 300 m Discuss
- 6. A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is:
Options- A. 5%
- B. 8%
- C. 12%
- D. 15% Discuss
- 7. Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B?
Options- A. Rs. 6400
- B. Rs. 6500
- C. Rs. 7200
- D. Rs. 7500
- E. None of these Discuss
- 8. A lent 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 1⁄8%
- D. 10% Discuss
- 9. An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes:
Options- A. 10%
- B. 10.25%
- C. 10.5%
- D. None of these Discuss
- 10. 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. 10,000
- C. Rs. 15,000
- D. Rs. 20,000 Discuss
Simple Interest problems
Search Results
Correct Answer: Rs. 8925
Explanation:
| Principal |
|
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|
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| = Rs. 8925. |
Correct Answer: 4 years
Explanation:
| Time = | ❨ | 100 x 81 | ❩years | = 4 years. |
| 450 x 4.5 |
Correct Answer: 6
Explanation:
Let rate = R% and time = R years.
| Then, | ❨ | 1200 x R x R | ❩ | = 432 |
| 100 |
⟹ 12R2 = 432
⟹ R2 = 36
⟹ R = 6.
Correct Answer: 6%
Explanation:
S.I. = Rs. (15500 - 12500) = Rs. 3000.
| Rate = | ❨ | 100 x 3000 | ❩% | = 6% |
| 12500 x 4 |
Correct Answer: 273 m
Explanation:
Let AB be the lighthouse and C and D be the positions of the ships.
Then, AB = 100 m, ∠ACB = 30° and ∠ADB = 45°.
| AB | = tan 30° = | 1 | ⟹ AC = AB x √3 = 100√3 m. |
| AC | √3 |
| AB | = tan 45° = 1 ⟹ AD = AB = 100 m. |
| AD |
| ∴ CD = (AC + AD) | = (100√3 + 100) m |
| = 100(√3 + 1) | |
| = (100 x 2.73) m | |
| = 273 m. |
Correct Answer: 12%
Explanation:
S.I. for 3 years = Rs. (12005 - 9800) = Rs. 2205.
| S.I. for 5 years = Rs. | ❨ | 2205 | x 5 | ❩ | = Rs. 3675 |
| 3 |
∴ Principal = Rs. (9800 - 3675) = Rs. 6125.
| Hence, rate = | ❨ | 100 x 3675 | ❩% | = 12% |
| 6125 x 5 |
Correct Answer: Rs. 6400
Explanation:
Let the sum invested in Scheme A be Rs. x and that in Scheme B be Rs. (13900 - x ).
| Then, | ❨ | x x 14 x 2 | ❩ | + | ❨ | (13900 - x) x 11 x 2 | ❩ | = 3508 |
| 100 | 100 |
⟹ 28x - 22x = 350800 - (13900 x 22)
⟹ 6x = 45000
⟹ x = 7500.
So, sum invested in Scheme B = Rs. (13900 - 7500) = Rs. 6400.
Correct Answer: 10%
Explanation:
Let the rate be R% p.a.
| Then, | ❨ | 5000 x R x 2 | ❩ | + | ❨ | 3000 x R x 4 | ❩ | = 2200. |
| 100 | 100 |
⟹ 100R + 120R = 2200
| ⟹ R = | ❨ | 2200 | ❩ | = 10. |
| 220 |
∴ Rate = 10%.
Correct Answer: 10.25%
Explanation:
Let the sum be Rs. 100. Then,
| S.I. for first 6 months = Rs. | ❨ | 100 x 10 x 1 | ❩ | = Rs. 5 |
| 100 x 2 |
| S.I. for last 6 months = Rs. | ❨ | 105 x 10 x 1 | ❩ | = Rs. 5.25 |
| 100 x 2 |
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: Rs. 15,000
Explanation:
| Principal = Rs. | ❨ | 100 x 5400 | ❩ | = Rs. 15000. |
| 12 x 3 |
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