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At what rate percent p.a. SI on a certain of money for 20years be equal to 4/9th of its amount for that period ? a) 5% b) 4% c) 6% d) 7%?
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At what rate percent p.a. SI on a certain of money for 20years be equa...
Solution:
Given, time (t) = 20 years, and Amount (A) = Principle (P) + SI
Let the rate of interest be 'r' percent p.a.
According to the question,
SI = (4/9)A - P
SI = A - P (As, A = P + SI)
So, (4/9)A - P = A - P
=> A = (5/4)P
Now, we can find the SI using the formula,
SI = (P * r * t) / 100
Substituting the values of A and t, we get
(4/9)(5P) - P = (P * r * 20) / 100
=> 20P/9 - P = 20Pr/100
=> 20P/9 - 20Pr/100 = P
=> P(20/9 - 1 + 20r/100) = P
=> (11/9) * 20r = (1/9) * 20 * 100
=> r = 50/11 = 4.54%
Therefore, the rate of interest is approximately 4.54%.
The closest option to this value is option (b) 4%.
Hence, the correct answer is option (b) 4%.
Given, time (t) = 20 years, and Amount (A) = Principle (P) + SI
Let the rate of interest be 'r' percent p.a.
According to the question,
SI = (4/9)A - P
SI = A - P (As, A = P + SI)
So, (4/9)A - P = A - P
=> A = (5/4)P
Now, we can find the SI using the formula,
SI = (P * r * t) / 100
Substituting the values of A and t, we get
(4/9)(5P) - P = (P * r * 20) / 100
=> 20P/9 - P = 20Pr/100
=> 20P/9 - 20Pr/100 = P
=> P(20/9 - 1 + 20r/100) = P
=> (11/9) * 20r = (1/9) * 20 * 100
=> r = 50/11 = 4.54%
Therefore, the rate of interest is approximately 4.54%.
The closest option to this value is option (b) 4%.
Hence, the correct answer is option (b) 4%.
Community Answer
At what rate percent p.a. SI on a certain of money for 20years be equa...
B) 4%
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At what rate percent p.a. SI on a certain of money for 20years be equal to 4/9th of its amount for that period ? a) 5% b) 4% c) 6% d) 7%?
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At what rate percent p.a. SI on a certain of money for 20years be equal to 4/9th of its amount for that period ? a) 5% b) 4% c) 6% d) 7%? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about At what rate percent p.a. SI on a certain of money for 20years be equal to 4/9th of its amount for that period ? a) 5% b) 4% c) 6% d) 7%? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At what rate percent p.a. SI on a certain of money for 20years be equal to 4/9th of its amount for that period ? a) 5% b) 4% c) 6% d) 7%?.
At what rate percent p.a. SI on a certain of money for 20years be equal to 4/9th of its amount for that period ? a) 5% b) 4% c) 6% d) 7%? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about At what rate percent p.a. SI on a certain of money for 20years be equal to 4/9th of its amount for that period ? a) 5% b) 4% c) 6% d) 7%? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At what rate percent p.a. SI on a certain of money for 20years be equal to 4/9th of its amount for that period ? a) 5% b) 4% c) 6% d) 7%?.
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