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A person lent Rs. 5,000 partly at the rate of 4 percent and partly at the rate of 5 percent per annum, at simple interest for purchased a wristwatch. The total interest after 2 years is Rs. 440. The sum of money lent at each of the above rates is to be divided in the ratio: 
  • a)
    4: 5 
  • b)
     3: 2 
  • c)
    5: 4 
  • d)
    2: 3 
Correct answer is option 'B'. Can you explain this answer?
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A person lent Rs. 5,000 partly at the rate of 4 percent and partly at ...
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A person lent Rs. 5,000 partly at the rate of 4 percent and partly at ...
Given:
- Sum of money lent = Rs. 5,000
- Interest rate 1 = 4% per annum
- Interest rate 2 = 5% per annum
- Time = 2 years
- Total interest earned = Rs. 440

To find:
- Sum of money lent at each rate

Solution:

Let x be the sum of money lent at 4% and y be the sum of money lent at 5%.

From the given information, we can form the following equations:

- x + y = 5000 (the total sum of money lent is Rs. 5,000)
- (x * 4 * 2)/100 + (y * 5 * 2)/100 = 440 (the total interest earned after 2 years is Rs. 440)

Simplifying the second equation:

- 8x/100 + 10y/100 = 440/2
- 4x + 5y = 220

Using the first equation to express x in terms of y:

- x = 5000 - y

Substituting x in the second equation:

- 4(5000 - y) + 5y = 220
- 20000 - 4y + 5y = 220
- y = 2000

Therefore, x = 5000 - y = 3000

The sum of money lent at 4% and 5% is in the ratio of x:y or 3000:2000 which simplifies to 3:2.

Therefore, the answer is option B, 3:2.
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A person lent Rs. 5,000 partly at the rate of 4 percent and partly at the rate of 5 percent per annum, at simple interest for purchased a wristwatch. The total interest after 2 years is Rs. 440. The sum of money lent at each of the above rates is to be divided in the ratio:a)4: 5b)3: 2c)5: 4d)2: 3Correct answer is option 'B'. Can you explain this answer?
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A person lent Rs. 5,000 partly at the rate of 4 percent and partly at the rate of 5 percent per annum, at simple interest for purchased a wristwatch. The total interest after 2 years is Rs. 440. The sum of money lent at each of the above rates is to be divided in the ratio:a)4: 5b)3: 2c)5: 4d)2: 3Correct answer is option 'B'. Can you explain this answer? for Teaching 2025 is part of Teaching preparation. The Question and answers have been prepared according to the Teaching exam syllabus. Information about A person lent Rs. 5,000 partly at the rate of 4 percent and partly at the rate of 5 percent per annum, at simple interest for purchased a wristwatch. The total interest after 2 years is Rs. 440. The sum of money lent at each of the above rates is to be divided in the ratio:a)4: 5b)3: 2c)5: 4d)2: 3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Teaching 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A person lent Rs. 5,000 partly at the rate of 4 percent and partly at the rate of 5 percent per annum, at simple interest for purchased a wristwatch. The total interest after 2 years is Rs. 440. The sum of money lent at each of the above rates is to be divided in the ratio:a)4: 5b)3: 2c)5: 4d)2: 3Correct answer is option 'B'. Can you explain this answer?.
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