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- Question
A sum of Rs. 725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of Rs. 362.50 more is lent but at the rate twice the former. At the end of the year, Rs. 33.50 is earned as interest from both the loans. What was the original rate of interest?
Options- A. 3.6%
- B. 4.5%
- C. 5%
- D. 6%
- E. None of these
- Correct Answer
- None of these
Explanation
Let the original rate be R%. Then, new rate = (2R)%.Note:
Here, original rate is for 1 year(s); the new rate is for only 4 months i.e. ⅓ year(s).∴ ❨ 725 x R x 1 ❩ + ❨ 362.50 x 2R x 1 ❩ = 33.50 100 100 x 3 ⟹ (2175 + 725) R = 33.50 x 100 x 3
⟹ (2175 + 725) R = 10050
⟹ (2900)R = 10050
⟹ R = 10050 = 3.46 2900 ∴ Original rate = 3.46%
- 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. 10,000
- C. Rs. 15,000
- D. Rs. 20,000 Discuss
- 2. 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
- 3. 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
- 4. 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
- 5. 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
- 6. A certain amount earns simple interest of Rs. 1750 after 7 years. Had the interest been 2% more, how much more interest would it have earned?
Options- A. Rs. 35
- B. Rs. 245
- C. Rs. 350
- D. Cannot be determined
- E. None of these Discuss
- 7. A person borrows Rs. 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6¼% p.a for 2 years. Find his gain in the transaction per year.
Options- A. Rs. 112.50
- B. Rs. 125
- C. Rs. 225
- D. Rs. 167.50 Discuss
- 8. 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 inadequate
- E. None of these Discuss
- 9. The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?
Options- A. Rs. 2000
- B. Rs. 2200
- C. Rs. 2400
- D. Data inadequate Discuss
- 10. If selling price is doubled, the profit triples. Find the profit percent.
Options- A. 66 2⁄3
- B. 100
- C. 105 1⁄3
- D. 120 Discuss
Simple Interest problems
Search Results
Correct Answer: Rs. 15,000
Explanation:
| Principal = Rs. | ❨ | 100 x 5400 | ❩ | = Rs. 15000. |
| 12 x 3 |
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: 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: 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: 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: Cannot be determined
Explanation:
We need to know the S.I., principal and time to find the rate.
Since the principal is not given, so data is inadequate.
Correct Answer: Rs. 112.50
Explanation:
| Gain in 2 years |
|
||||||||||||||||
| = Rs. (625 - 400) | |||||||||||||||||
| = Rs. 225. |
| ∴ Gain in 1 year = Rs. | ❨ | 225 | ❩ | = Rs. 112.50 |
| 2 |
Correct Answer: 2 : 3
Explanation:
Let the principal be P and rate of interest be R%.
| ∴ Required ratio = |
|
= | 6PR | = | 6 | = 2 : 3. | ||||
|
9PR | 9 |
Correct Answer: Rs. 2000
Explanation:
Let C.P. be Rs. x.
| Then, | 1920 - x | x 100 = | x - 1280 | x 100 |
| x | x |
⟹ 1920 - x = x - 1280
⟹ 2x = 3200
⟹ x = 1600
| ∴ Required S.P. = 125% of Rs. 1600 = Rs. | ❨ | 125 | x 1600 | ❩ | = Rs 2000. |
| 100 |
Correct Answer: 100
Explanation:
Let C.P. be Rs. x and S.P. be Rs. y.
Then, 3(y - x) = (2y - x) ⟹ y = 2x.
Profit = Rs. (y - x) = Rs. (2x - x) = Rs. x.
| ∴ Profit % = | ❨ | x | x 100 | ❩% = 100% |
| x |
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