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Ravi borrows a sum of Rs.2000 at the beginning of a year. After four months Rs.2600 more is borrowed at a rate of interest double the previous one. At the end of one year, the sum of interest on both the loans is Rs.494. What is the first rate of interest per annum?
  • a)
    8.5%
  • b)
    9%
  • c)
    9.5%
  • d)
    12%
  • e)
    None of the Above
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Ravi borrows a sum of Rs.2000 at the beginning of a year. After four m...
Answer –C.9.5% Explanation : P = 2000
Rate of Interest = x SI = 2000x/100 = 20x P = 2600
Rate of Interest = 2x SI = 5200x/100 = 52x 52x = 494 x = 9.5%
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Ravi borrows a sum of Rs.2000 at the beginning of a year. After four m...
Given:
Ravi borrows a sum of Rs. 2000 at the beginning of a year.
After four months, Rs. 2600 more is borrowed at a rate of interest double the previous one.
At the end of one year, the sum of interest on both loans is Rs. 494.

To find:
The first rate of interest per annum.

Solution:
Let's assume the first rate of interest per annum is 'r' percent.

Calculating interest on the first loan:
Principal = Rs. 2000
Time = 12 months
Rate of interest = r%

Using the formula: Simple Interest = (Principal * Time * Rate)/100
Interest on the first loan = (2000 * 12 * r)/100 = 24r

Calculating interest on the second loan:
Principal = Rs. 2600
Time = 8 months (12 - 4 months)
Rate of interest = 2r% (double the first rate)

Using the formula: Simple Interest = (Principal * Time * Rate)/100
Interest on the second loan = (2600 * 8 * 2r)/100 = 41.6r

Total interest:
The sum of interest on both loans is given as Rs. 494.
So, 24r + 41.6r = 494

Simplifying the equation:
65.6r = 494
r = 494/65.6
r ≈ 7.53

Therefore, the first rate of interest per annum is approximately 7.53%.

Correct answer:
Option e) None of the Above

Explanation:
The given options do not include the calculated value of 7.53%. Hence, none of the given options is the correct answer.
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Community Answer
Ravi borrows a sum of Rs.2000 at the beginning of a year. After four m...
Answer –C.9.5% Explanation : P = 2000
Rate of Interest = x SI = 2000x/100 = 20x P = 2600
Rate of Interest = 2x SI = 5200x/100 = 52x 52x = 494 x = 9.5%
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Ravi borrows a sum of Rs.2000 at the beginning of a year. After four months Rs.2600 more is borrowed at a rate of interest double the previous one. At the end of one year, the sum of interest on both the loans is Rs.494. What is the first rate of interest per annum?a)8.5%b)9%c)9.5%d)12%e)None of the AboveCorrect answer is option 'C'. Can you explain this answer?
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Ravi borrows a sum of Rs.2000 at the beginning of a year. After four months Rs.2600 more is borrowed at a rate of interest double the previous one. At the end of one year, the sum of interest on both the loans is Rs.494. What is the first rate of interest per annum?a)8.5%b)9%c)9.5%d)12%e)None of the AboveCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Ravi borrows a sum of Rs.2000 at the beginning of a year. After four months Rs.2600 more is borrowed at a rate of interest double the previous one. At the end of one year, the sum of interest on both the loans is Rs.494. What is the first rate of interest per annum?a)8.5%b)9%c)9.5%d)12%e)None of the AboveCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ravi borrows a sum of Rs.2000 at the beginning of a year. After four months Rs.2600 more is borrowed at a rate of interest double the previous one. At the end of one year, the sum of interest on both the loans is Rs.494. What is the first rate of interest per annum?a)8.5%b)9%c)9.5%d)12%e)None of the AboveCorrect answer is option 'C'. Can you explain this answer?.
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