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In what time will a sum of Rs. 800 at 5% p.a. C.I. amount to Rs. 882?
- a)1 year
- b)5 years
- c)4 years
- d)2 years
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
In what time will a sum of Rs. 800 at 5% p.a. C.I. amount to Rs. 882?a...
Given:
Principal amount (P) = Rs. 800
Rate of interest (R) = 5% p.a.
Compound interest (CI) = Rs. 882 - Rs. 800 = Rs. 82
Formula for Compound Interest:
CI = P(1 + R/100)^n - P
Where, n is the number of years
Calculation:
Using the given values, we can rewrite the formula as:
82 = 800(1 + 5/100)^n - 800
82 = 8(21/20)^n
82/8 = (21/20)^n
10.25 = (21/20)^n
To solve for n, we can take the logarithm of both sides:
log(10.25) = log((21/20)^n)
log(10.25) = n * log(21/20)
n = log(10.25) / log(21/20)
n ≈ 1.999
Conclusion:
Therefore, the sum of Rs. 800 at 5% p.a. compound interest will amount to Rs. 882 in approximately 2 years. So, the correct answer is option D.
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Community Answer
In what time will a sum of Rs. 800 at 5% p.a. C.I. amount to Rs. 882?a...
A=p(1+r/100)^n882=800(1+5/100)^n882/800={(100+5)/1
00}^n441/400=(105/100)^n(21/20)^2=
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In what time will a sum of Rs. 800 at 5% p.a. C.I. amount to Rs. 882?a)1 yearb)5 yearsc)4 yearsd)2 yearsCorrect answer is option 'D'. Can you explain this answer?
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In what time will a sum of Rs. 800 at 5% p.a. C.I. amount to Rs. 882?a)1 yearb)5 yearsc)4 yearsd)2 yearsCorrect answer is option 'D'. Can you explain this answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about In what time will a sum of Rs. 800 at 5% p.a. C.I. amount to Rs. 882?a)1 yearb)5 yearsc)4 yearsd)2 yearsCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In what time will a sum of Rs. 800 at 5% p.a. C.I. amount to Rs. 882?a)1 yearb)5 yearsc)4 yearsd)2 yearsCorrect answer is option 'D'. Can you explain this answer?.
In what time will a sum of Rs. 800 at 5% p.a. C.I. amount to Rs. 882?a)1 yearb)5 yearsc)4 yearsd)2 yearsCorrect answer is option 'D'. Can you explain this answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about In what time will a sum of Rs. 800 at 5% p.a. C.I. amount to Rs. 882?a)1 yearb)5 yearsc)4 yearsd)2 yearsCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In what time will a sum of Rs. 800 at 5% p.a. C.I. amount to Rs. 882?a)1 yearb)5 yearsc)4 yearsd)2 yearsCorrect answer is option 'D'. Can you explain this answer?.
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