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Difference between the SI and CI obtained by A and B respectively at a 20% rate of interest per annum for three years is Rs.768 and both A and B invested the same amount. Find the interest obtained by A?
  • a)
    Rs.3600
  • b)
    Rs.3000
  • c)
    Rs.2400
  • d)
    Rs.4000
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Difference between the SI and CI obtained by A and B respectively at ...
Given:
Difference between SI and CI obtained by A and B at a 20% rate of interest per annum for three years is Rs. 768
Both A and B invested the same amount

To find:
Interest obtained by A

Let's assume the principal amount invested by A and B is 'P'.

Simple Interest (SI) formula:
SI = (P * R * T) / 100

Compound Interest (CI) formula:
CI = P * (1 + R/100)^T - P

Where:
P = Principal amount
R = Rate of interest
T = Time period

Since both A and B invested the same amount, the difference between their SI and CI will be due to the difference in the interest earned.

Let's calculate the SI and CI for A and B separately.

For A:
SI(A) = (P * 20 * 3) / 100 = 0.6P
CI(A) = P * (1 + 20/100)^3 - P = P * (1.2)^3 - P = 1.728P - P = 0.728P

For B:
SI(B) = (P * 20 * 3) / 100 = 0.6P
CI(B) = P * (1 + 20/100)^3 - P = P * (1.2)^3 - P = 1.728P - P = 0.728P

Given that the difference between SI and CI obtained by A and B is Rs. 768:

CI(A) - SI(A) = CI(B) - SI(B)
0.728P - 0.6P = 0.728P - 0.6P
0.128P = 0.128P

This implies that the difference between the SI and CI is the same for both A and B, which contradicts the given information. Hence, there seems to be an error in the question.

However, if we assume that the difference between the SI and CI obtained by A and B is Rs. 768, and A's interest is Rs. 768, then we can proceed with the calculation.

0.728P - 0.6P = 768
0.128P = 768
P = 768 / 0.128
P = Rs. 6000

Therefore, the interest obtained by A would be:
SI(A) = (6000 * 20 * 3) / 100 = Rs. 3600

Hence, the correct answer is option 'A' Rs. 3600.
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Community Answer
Difference between the SI and CI obtained by A and B respectively at ...
Let the amount invested by A and B beRs.x.
3 x P(R)²/(100)² + P (R/100)³ = 768
3 * x * (20/100)2 + x * (20/100)3 = 768
3 * x * 1/25 + x * 1/125 = 768
15x + x = 125 * 768
16x = 125 * 768
x = Rs.6000
Interest obtained by A = 6000 * 20 * 3/100 = Rs.3600
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Difference between the SI and CI obtained by A and B respectively at a 20% rate of interest per annum for three years is Rs.768 and both A and B invested the same amount. Find the interest obtained by A?a)Rs.3600b)Rs.3000c)Rs.2400d)Rs.4000e)None of theseCorrect answer is option 'A'. Can you explain this answer?
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Difference between the SI and CI obtained by A and B respectively at a 20% rate of interest per annum for three years is Rs.768 and both A and B invested the same amount. Find the interest obtained by A?a)Rs.3600b)Rs.3000c)Rs.2400d)Rs.4000e)None of theseCorrect answer is option 'A'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about Difference between the SI and CI obtained by A and B respectively at a 20% rate of interest per annum for three years is Rs.768 and both A and B invested the same amount. Find the interest obtained by A?a)Rs.3600b)Rs.3000c)Rs.2400d)Rs.4000e)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Difference between the SI and CI obtained by A and B respectively at a 20% rate of interest per annum for three years is Rs.768 and both A and B invested the same amount. Find the interest obtained by A?a)Rs.3600b)Rs.3000c)Rs.2400d)Rs.4000e)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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