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3. The maturity value of a R.D. Account is16,176. If the monthly instalment is 400and the rate of interest is 8%; find the time(period) of this R.D. Account. |
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Answer» Installment per month (P) = Rs. 400 Number of months (n) = n Let rate of interest (r) = 8 % p.a.SI = P x n(n+1)/2*12 * r/100 = 400 * n(n + 1)/24 * 8/100 = 4n(n + 1)/3 Given maturity value = Rs. 16,176 Then,(400*n) + SI = 16176400n + 4n(n + 1)/3 = 161761200n + 4n^2 + 4n = 48528n^2 + 301n - 12132 = 0(n + 337)(n - 36) = 0n = - 337, 36 Therefore, Number of months = 36 months = 3 years. |
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