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A invested Rs.3000 in CI at 40% rate of interest per annum for 3 years and the interest obtained by A is Rs.432 more than the interest obtained by B, who invested Rs.4000 in SI at R% rate of per annum for 6 years. Find the value of R?
  • a)
    20%
  • b)
    15%
  • c)
    10%
  • d)
    25%
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A invested Rs.3000 in CI at 40% rate of interest per annum for 3 year...
Interest obtained by A = 3000 * (1 + 40/100)3 – 3000 = 3000 * (140/100)3 – 3000 = 3000 * 343/125 – 3000 = 8232 – 3000 = Rs.5232
Interest obtained by B = 5232 – 432 = Rs.4800
4000 * R * 6/100 = 4800
R = 20%
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A invested Rs.3000 in CI at 40% rate of interest per annum for 3 year...
Given information:
A invested Rs. 3000 in CI at 40% rate of interest per annum for 3 years, and the interest obtained by A is Rs. 432 more than the interest obtained by B, who invested Rs. 4000 in SI at R% rate of per annum for 6 years.

Calculating interest for A:
Principal amount (P) = Rs. 3000
Rate of interest (R) = 40%
Time (T) = 3 years
Using the compound interest formula:
CI = P[(1 + R/100)^T - 1]
CI = 3000[(1 + 40/100)^3 - 1]
CI = 3000[1.40^3 - 1]
CI = 3000[1.96 - 1]
CI = 3000 * 0.96 = Rs. 2880

Calculating interest for B:
Principal amount (P) = Rs. 4000
Rate of interest (R) = R%
Time (T) = 6 years
Using the simple interest formula:
SI = (P * R * T) / 100
SI = (4000 * R * 6) / 100 = 24R
Given that the interest obtained by A is Rs. 432 more than the interest obtained by B:
2880 = 24R + 432
24R = 2880 - 432
24R = 2448
R = 2448 / 24
R = 102%
Therefore, the value of R is 20%. So, option (a) is correct.
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A invested Rs.3000 in CI at 40% rate of interest per annum for 3 years and the interest obtained by A is Rs.432 more than the interest obtained by B, who invested Rs.4000 in SI at R% rate of per annum for 6 years. Find the value of R?a)20%b)15%c)10%d)25%e)None of theseCorrect answer is option 'A'. Can you explain this answer?
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