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A sum is lent out at the rate of r% p.a. compound interest for 3 years. The amount of interest obtained in the third year is 116.67% of that in the second year. The amount at the end of the third year is what percent more than the amount at the end of the first year?
  • a)
    31.33%
  • b)
    32.11%
  • c)
    38.25%
  • d)
    36.11%
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A sum is lent out at the rate of r% p.a. compound interest for 3 years...
Interest in the third year : Interest in the second year = 7 : 6






Hence, option D is correct.
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Community Answer
A sum is lent out at the rate of r% p.a. compound interest for 3 years...
Given data:
- Rate of interest: r%
- Time: 3 years
- Interest obtained in the third year: 116.67% of that in the second year

Calculation:
- Let the interest obtained in the second year be x.
- The interest obtained in the third year = 116.67% of x = 1.1667x

Amount at the end of the third year:
- Let the principal amount be P.
- Amount at the end of the second year = P + x
- Amount at the end of the third year = P + x + 1.1667x = P + 2.1667x

Amount at the end of the third year compared to the first year:
- Amount at the end of the first year = P
- Required percentage = ((P + 2.1667x) - P) / P * 100
- = (2.1667x / P) * 100
- = (2.1667 * r * P / 100) / P * 100
- = 2.1667 * r

Therefore, the amount at the end of the third year is 2.1667 times the rate of interest more than the amount at the end of the first year.

Answer:
The amount at the end of the third year is 2.1667 times the rate of interest more than the amount at the end of the first year, which is approximately 36.11% more. Therefore, option D is correct.
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A sum is lent out at the rate of r% p.a. compound interest for 3 years. The amount of interest obtained in the third year is 116.67% of that in the second year. The amount at the end of the third year is what percent more than the amount at the end of the first year?a)31.33%b)32.11%c)38.25%d)36.11%Correct answer is option 'D'. Can you explain this answer?
Question Description
A sum is lent out at the rate of r% p.a. compound interest for 3 years. The amount of interest obtained in the third year is 116.67% of that in the second year. The amount at the end of the third year is what percent more than the amount at the end of the first year?a)31.33%b)32.11%c)38.25%d)36.11%Correct answer is option 'D'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about A sum is lent out at the rate of r% p.a. compound interest for 3 years. The amount of interest obtained in the third year is 116.67% of that in the second year. The amount at the end of the third year is what percent more than the amount at the end of the first year?a)31.33%b)32.11%c)38.25%d)36.11%Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sum is lent out at the rate of r% p.a. compound interest for 3 years. The amount of interest obtained in the third year is 116.67% of that in the second year. The amount at the end of the third year is what percent more than the amount at the end of the first year?a)31.33%b)32.11%c)38.25%d)36.11%Correct answer is option 'D'. Can you explain this answer?.
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